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COSMIC SOULS OF SOVEREIGNTY INC.
“Earth Inspired Self Contained Self Reliant Systems”

Division of Cybernetic Pedology · Autonomous Systems

TERRA VIVENS SANCTAE MARIAE

Bioelectrochemical Pedogenesis and Closed-Loop Cybernetic Restoration of an Insular Soil Microbiome — A Three-Year Research & Development Programme

Target St. Mary's Island, NY
Acquisition pending
36 Month
Research Programme
6 Work Packages
H1–H8
— Peer-Reviewed
References
REGISTERED OFFICE
Cosmic Souls of Sovereignty Inc.
15500 Voss Road, STE 425
Sugar Land, TX 77498
+1 (321) 333-4263
DOCUMENT CONTROL
CSS-TVSM-RD-2026-001
Version 1.0 · 29 September 2026
Classification: Public Proposal
CITATION STYLE
APA 7th Edition
Numbered in-text markers
DOI-resolved references
Suggested citation: Cosmic Souls of Sovereignty Inc. (2026). Terra Vivens Sanctae Mariae: Bioelectrochemical Pedogenesis and Closed-Loop Cybernetic Restoration. Scientific Interactive White Paper, CSS-TVSM-RD-2026-001. Registered office: 15500 Voss Road, STE 425, Sugar Land, TX 77498.
Scientific White Paper · Research Proposal APA 7th · Peer-Reviewed Evidence Base

Closed-Loop Bioelectrochemical Restoration of an Insular Soil Microbiome

A 36-month, six-work-package R&D programme integrating pedogenesis, electrokinetics, microbial ecology and machine-learning control to restore a degraded island soil without environmental effluent.

Abstract

Conventional agricultural soil remediation is defined by a trade-off between efficacy and collateral damage. Excavation transfers contamination from soil to waste; chemical washing exports it to water; fallowing accepts ecological and economic loss. The Terra Vivens Sanctae Mariae programme advances an alternative objective: the in-situ, closed-loop reconstruction of pedogenic function on 1 St. Mary's Island, Alexandria Bay, New York, using sub-Faradaic electrokinetic vectoring, arbuscular mycorrhizal pedogenesis and constrained reinforcement-learning control to achieve detoxification and biological recovery simultaneously, with zero discharge of secondary liquid waste.

The scientific contribution is threefold. First, a falsifiable operational definition of soil pedogenic function — quantified across redox potential ($E_h$), cation exchange capacity, aggregate stability, mycorrhizal colonisation and carbon mineralisation — against which restoration success can be adjudicated rather than asserted. Second, a Modular Sandbox Detoxification architecture that couples directional electromigration to a sacrificial reactive barrier, physically separating electrochemical remediation from the living rhizosphere 67. Third, a stability proof demonstrating that the closed-loop controller is bounded-input bounded-output stable under an invariant constraint set, precluding the runaway actuation characteristic of unconstrained machine-learning control 5.

H1–H8 Testable Hypotheses
n = 180 Plots (BACI factorial)
0 L Liquid Effluent Target
1.2 V/cm Absolute Field Ceiling
Keywords

soil pedogenesis • bioelectrochemical remediation • electrokinetic remediation • mycorrhiza • arbuscular mycorrhizal fungi • soil health • redox potential ($E_h$) • critical zone • rhizosphere • biosorption • biochar • zero-valent iron • layered double hydroxides • constrained reinforcement learning • Lyapunov stability • digital twin • closed-loop control • soil carbon sequestration • bioalchar • North American Great Lakes

READER'S NOTE — EVIDENCE TIERS. Every claim in this paper is graded. TIER A denotes findings replicated in peer-reviewed primary literature; TIER B denotes credible but context-dependent evidence; TIER C denotes novel, unvalidated, or mechanistically plausible but untested. Sections 4 and 13 state, for every hypothesis, the observation that would falsify it. Readers should treat Tier C claims as programme objectives under test, not as established results.
01

Introduction & Scientific Rationale

The problem, the gap, and the research question

1.1 The Remediation Trilemma

Every conventional approach to rehabilitating a chemically compromised soil resolves the remediation problem by transferring it somewhere else. Excavation and land-filling satisfies the contaminant mass balance on paper while exporting several hundred percent of the original soil carbon to landfill, destroying the microbial inoculum and the physical structure that would have enabled in-situ recovery 1. Chemical washing and chelant extraction achieves high removal efficiency but generates a secondary liquid waste stream of comparable or greater volume and toxicity than the original contamination 24. Unmanaged fallowing avoids harm but forfeits the agricultural baseline, leaving the land in a state of slow biological decline governed by legacy metal residence times measured in decades 3.

Table 1.1 — Comparative assessment of soil remediation pathways against five decision criteria
Pathway Metal removal Soil carbon retained Secondary waste Field practicality Evidence tier
Excavation & disposal Complete (100%) None — exported High (solid) Low — cost scales with volume A
Chemical washing / chelation High (70–95%) Partial loss High (liquid) Moderate — reagent intensive A
Phytoremediation Low – moderate Retained / added Minimal (biomass) High — slow (5–20 yr) A
Electrokinetic remediation Moderate – high Retained Contained (collection) Moderate — electrode management A
MSD + electrokinetics (this programme) Moderate – high (target) Retained & amplified Solid, modular, contained Moderate — telemetry-assisted C

Removal percentages are indicative ranges drawn from field trials summarised in 1, 2 and 6; the “evidence tier” denotes the maturity of the underlying evidence base (see Reader's Note in the Abstract).

1.2 Why Bioelectrochemical Pedogenesis Is Different

The bioelectrochemical pedogenesis framework departs from the premise that remediation and restoration are opposing activities. In a saturated soil matrix, an applied electric field drives charged species by electromigrationNet transport of ionic species induced by the electric field — the dominant transport mechanism in low-permeability clays where hydraulic diffusion is negligible. toward the electrode of opposite sign. This is a vectorial process, not a volumetric one. The engineering consequence is decisive: contaminants can be steered to a chosen collection geometry rather than merely extracted 67.

The limitation of classical electrokinetics is equally well established. Water electrolysis at the electrodes generates acid fronts at the anode and alkaline fronts at the cathode; if these fronts are allowed to migrate into the root zone they dissolve essential minerals, precipitate metal hydroxides, and — critically — they destroy the microbiological community that any restoration attempt depends upon 78. Electrokinetic remediation is thus, in its conventional form, microbiologically antagonistic.

The central design claim of this programme is that electrochemical remediation and biological restoration are not merely compatible but mutually enabling — provided the two are physically decoupled. The Modular Sandbox Detoxification (MSD) architecture achieves this by confining the electric field, the electrolysis fronts and the captured contaminant mass within a sacrificial, replaceable reactive cassette situated at the perimeter, leaving the central rhizosphere free to recover.

1.3 The Insular Advantage: A Natural Control

Island systems are scientifically under-used. The frequent methodological weakness of restoration research — pseudoreplication Treating many samples from a single manipulated system as independent replicates, which inflates apparent statistical power; a design flaw explicitly addressed by this programme's blocked randomised design. and uncontrolled confounding from off-site inputs — is substantially mitigated at 1 St. Mary's Island, Alexandria Bay, New York. Hydrologically delimited by the St. Lawrence River, the site receives a bounded and characterisable input flux, which makes both contamination mass-balance accounting and biological response attribution tractable.

The site additionally supports a Before-After-Control-Impact (BACI) design of unusual quality. A matched mainland reference parcel permits the separation of restoration signal from regional climate and river-chemistry signal, which is the single most common failure of published restoration claims 910.

100% Hydrologically
Bounded Site
1 Matched Mainland
Control Parcel
4 Factorial Treatment
Arms (BACI)

1.4 Research Question

Can a physically decoupled electrokinetic–biological system simultaneously reduce bioavailable heavy-metal concentrations below agronomic phytotoxic thresholds and restore soil pedogenic function — measured across redox potential, aggregate stability, mycorrhizal colonisation and carbon mineralisation — without the discharge of secondary liquid waste and without the export of native soil carbon?

02

Site Description & Pedological Baseline

Target site: St. Mary's Island, NY · acquisition pending · corporate office: Sugar Land, TX

2.1 The Target Research Estate as an Isolated Test Facility

⚠ Site status — acquisition pending, not yet owned

The organisation's registered corporate office is at 15500 Voss Road, Suite 425, Sugar Land, Texas 77498. The New York property described below is a prospective research site which the organisation holds a Letter of Intent to acquire and is actively raising funds to purchase. It is not owned, and the controlled-environment facility described in this paper is contingent on that funding. The full sequence of contingencies — including the programme path taken if acquisition does not proceed — is set out in Section 2.1.2.

The target research site is 1 St. Mary's Island, Alexandria Bay, Jefferson County, New York (MLS S1648820), a river island within the St. Lawrence River basin (municipal parcel 222201-003-069-0001-005-000). The organisation holds a Letter of Intent to acquire the parcel, dated 30 September 2026.

If acquired, the property would serve as an isolated experimental facility rather than a production surface — a controlled environment in which the AI-enabled soil-revival system can be developed, instrumented and evaluated without the confounding of open-field conditions. The cedar-clad structure on the island would serve as the laboratory, instrumentation hall and secure store; the surrounding acreage would supply source material and, later, a protected deployment surface.

The isolation is the experimental control. Working inside a secured island facility removes the three principal sources of variance that have historically made restoration trials unreproducible: uncontrolled weather, uncontrolled hydrological input, and unmeasured off-site contamination. It also allows the AI layer to be trained and validated against ground-truthed sensor streams rather than against sparse, noisy field observations — which is the precondition for a control system that can be trusted.
45.00° Latitude N
Alexandria Bay, NY
−74.96° Longitude W
St. Lawrence River
Isolated Controlled
test environment
0 External
contaminant inputs

Coordinates are given to two decimal places, appropriate to a site-scale characterisation and deliberately not implying survey-grade precision. Island landform class and NRCS soil series references are to be confirmed against the NRCS Web Soil Survey during WP1; this document treats them as provisional.

2.1.2 Site-Contingency Scenarios

Because the property is not yet owned, the programme is designed with an explicit contingency ladder. The scientific content is invariant across all three scenarios; only the physical platform changes. This means funding the research does not depend on the property purchase succeeding — a materially different risk profile from a design that requires the real estate in order to begin.

Table 2.5 — Site-contingency ladder: the programme proceeds on three paths
Scenario Trigger Experimental platform What is preserved What is deferred
A — Facility
PREFERRED
Property acquired and remediated to laboratory standard 144 instrumented vessels in the island facility; full varietal factorial; WP6 supervised deployment on the island surface Everything. Maximum control, replication power, and direct field transfer Nothing — this is the full programme
B — Modular
FALLBACK 1
Acquisition not funded, or a smaller or alternative secured property is obtained Reduced vessel count in a leased or partner-operated controlled space; reduced replication (n = 4) and two varietal classes in place of six H1–H8 in full, with reduced statistical power on the varietal term of H7 Field-deployment phase (WP6) and the carbon co-benefit projection
C — Field
FALLBACK 2
No secured facility is available No facility — the programme moves into the field. Paired BACI plots with wireless telemetry, as originally conceived H1, H3, H8 and the remediation mechanism. The mechanism does not require a building Statistical power (pseudoreplication risk returns); AI training data quality (sparse, noisy ground truth); H7 generalisation becomes untestable
Why this matters commercially. In Scenario C the programme still tests whether the bioelectrochemical mechanism works — the central scientific claim is independent of the property. What the facility buys is power and AI fidelity: the replication to detect a coupling effect, and the dense ground truth that makes a trained model meaningful rather than decorative. Investors underwriting the property are therefore underwriting a precision multiplier, not a precondition for the science.

2.1.3 The AI-First Development Sequence

The programme's distinguishing feature is that the artificial intelligence is the experiment, not a reporting layer applied to a finished biological result. The development sequence therefore inverts the conventional order:

  1. Characterise the substrate — WP0 establishes pedological baselines across the six varietal classes so the AI has a structured, physically meaningful feature space rather than an unconstrained sensor dump.
  2. Instrument to a telemetry contract — every variable the model consumes is specified, calibrated and continuously recorded, so training data and validation data share an identical schema.
  3. Train against ground truth — surrogate models are fitted to laboratory-measured endpoints (DTPA-extractable metals, redox state, colonisation) using the high-frequency telemetry as inputs. The AI learns the mapping sensor stream → measured soil property.
  4. Close the loop under constraint — the validated surrogate is coupled to the constrained controller, which proposes actuations; every actuation changes the soil, producing new ground truth.
  5. Iterate and generalise across varietal classes — the same model is tested on soils it was not trained on, which is the only honest test of whether the AI has learned soil physics or merely memorised one substrate.
  6. Deploy outdoors under supervision — only after the system demonstrates out-of-distribution behaviour on held-out varietal classes is it permitted to act on the open island surface, and then only within its certified action set.

This sequence has a consequence worth stating plainly: the AI cannot outrun its instrumentation. The quality of the soil model is bounded by the quality of the ground truth it is trained against, which is why WP0 measurement and the telemetry contract in Section 6 precede every element of the control stack in Section 7.

2.2 Climate and Hydrologic Context

The St. Lawrence lowland is a humid continental regime with cold winters, warm summers, and precipitation distributed relatively evenly through the year. Two hydrological features dominate the island's pedology. First, the St. Lawrence River provides a strongly buffered baseflow regime, modering seasonal water stress relative to interior sites. Second, the island's exposure to winter freeze–thaw and spring freshet produces repeated wetting–drying cycles that drive aggregate slakingStructural collapse of soil aggregates on re-wetting after air-drying, driven by the dissolution of transient capillary bridges and the swelling of clays — a primary mechanism of structural degradation in historically tilled soils. and drive the seasonal oxidation–reduction cycling that governs $E_h$ dynamics discussed in Section 2.4.

DESIGN IMPLICATION. Because freeze–thaw and freshet cycles recur annually, a restoration protocol tuned to a single-season laboratory optimum would fail in the field. WP3 therefore specifies seasonally adaptive dosing regimes, and the controller (Section 7) uses volumetric water content as a gating variable to suppress electrokinetic actuation during freeze–thaw transition, when ionic mobility is high but root-zone biology is dormant and therefore vulnerable.

2.3 Source Soil Collection & Varietal Stratification

The programme does not treat “the soil” as a single medium. It begins from collected samples spanning distinct varietal classes, because the electrokinetic and biological mechanisms under test respond to texture, organic matter and mineralogy in quantitatively different ways. A single-texture experiment would test the mechanism only where it is easiest to demonstrate — and would fail exactly where it is most needed. Varietal stratification is therefore a design variable, not a nuisance to be averaged away.

Source material is collected from the island and from paired reference locations, composited by pedon at the 0–20 cm and 20–40 cm intervals, and archived as air-dried, sieved material with retained moisture subsamples for later reconstitution. Six varietal classes are targeted, spanning the hydraulic and textural range that determines redox behaviour in the field:

Table 2.1 — Source soil varietal classes, target coverage, and the mechanism each tests
CodeVarietal classTexture φtotMechanistic role in the design
SLSandy loamLoamy sand – sandy loam0.42–0.47 Maximally oxidising, low buffering. Tests whether the MSD architecture is necessary here — the permissive case.
SiLSilt loamSilt loam0.47–0.52 Reference pedon. The default case against which other classes are compared.
CLClay loamClay loam0.44–0.49 Moderate buffering; intermediate electroosmotic drag. Tests dose–response scaling with CEC.
SiCSilty claySilty clay loam – silty clay0.38–0.43 Low permeability, high buffering, redox-sensitive. The hardest and most diagnostically useful case.
OGOrganic / muckSilt, high OM0.75–0.88 Very high CEC, strongly reducing. Tests Fe/Mn oxide dissolution and the remobilisation risk (R2).
UFDisturbed urban fillHeterogeneous0.42–0.52 Legacy Pb carrier with anthropogenic heterogeneity. Tests the extraction chemistry under realistic confounding.

$\phi^{\text{tot}}$ denotes total porosity, a primary target variable rather than a class label. Sample numbers per class are set by the power analysis in Section 6.3, not by convenience; minimum 30 kg of archived material per varietal class is required to support the destructive column design.

2.4 WP0 Baseline: Measured and Derived Endpoints

WP0 establishes the pre-treatment state for every varietal class. It operates in two layers. The first is directly measured — quantities a laboratory can determine without recourse to any model. The second is derived by pedotransfer from those measurements, using published functions. The distinction is maintained throughout, because presenting a derived value as though it had been observed is the most common route by which soil models misreport themselves.

Table 2.2 — WP0 directly measured endpoint battery
#EndpointMethodReplicatesTier
1Redox potential $E_h$ (field mV)Combination Eh probe at field capacity10/classA
2pH (CaCl2, 1:5)ISFET / bench electrode10/classA
3Electrical conductivity (1:5, 25°C)Conductivity cell10/classA
4Total Pb, Cd, Cu, Zn, Ni, CrICP-MS, EPA 3051A6/classA
5DTPA-extractable metalsDTPA extraction, ICP-MS6/classA
6Organic matter / organic carbonLoss on ignition; Walkley–Black6/classA
7Cation exchange capacity (base, pH 7)NH4OAc6/classA
8Particle-size distribution & texture classHydrometer / laser diffraction6/classA
9Bulk density & total porosityCore method, undisturbed cores10/classA
10Water-stable aggregatesWet sieving, 2 mm6/classA
11AMF root colonisationAcid fuchsin, grid method6/classA
12Microbial biomass C & respirationSIR / chloroform fumigation6/classA
1316S rRNA amplicon profileIllumina MiSeq3/classA
14Available P (Olsen / Bray-1)Olsen & Bray-1 extraction6/classA

Replicates are stated per varietal class; with six classes the measured-sample count is six-fold the per-class figure. Particle-size distribution is measured rather than inferred from texture class, because texture is a classification while grain size is a continuous quantity — and electroosmotic drag depends on the continuous value.

The following quantities are not measured in WP0. They are computed from the measured set using standard pedotransfer functions, and are reported so that controller thresholds, dosing schedules and the power analysis can be specified before any treatment is applied.

Table 2.3 — Pedotransfer functions used to derive secondary endpoints
Derived quantityFunctional basisWhy it matters here
Water retention ($\theta_{fc}$, $\theta_{wp}$) Saxton & Rawls (2006) equations from sand/silt/clay fractions and organic carbon 33 Sets the moisture at which the system is energised, and the hydraulic gate on actuation
Air-filled porosity $\epsilon_a = \phi - \theta$ Derived from total porosity and water content The dominant control on O2 diffusion and therefore on $E_h$
Oxygen Supply Index → predicted $E_h$ Nernst mapping of OSI, Section 2.5 Defines the redox regime each varietal class starts in, and the treatment implied
Effective diffusion coefficient $D_e$ Millington–Quirk tortuosity model 34 Governs the rate of electrokinetic transport toward the cassette
Distribution coefficient $K_d$ for Pb Log-linear in pH and organic carbon, per surface-complexation behaviour Converts total Pb into the mobile fraction electrokinetics can actually move
Modelling target Pb $C_{\text{mobile}} = C_{\text{total}}/(1 + K_d\,(V/\rho_b))$ at the DTPA ratio The concentration the controller must drive to target, per varietal class
AMF colonisation potential Inverse relation to available P; optimum near pH 6–7 Establishes whether H3 is achievable per class, or whether P must be managed first

Every controller threshold derived from these functions is re-estimated from WP0 measurements before Gate 1. The model sets the plan; the measurement sets the plan’s parameters. Where a function is used outside its calibration envelope, that use is declared in the pre-registration.

2.5 Redox Potential as the Master Diagnostic

Of the measured endpoints, oxidation–reduction potential ($E_h$) occupies a unique methodological position: it is the cheapest to monitor continuously, the most sensitive to biological state, and the most diagnostic of the conditions governing metal bioavailability 1112. Under oxic conditions ($E_h$ above roughly +350 mV) iron and manganese are oxidised and largely insoluble, and metal cations are held by exchange and by precipitation on oxide surfaces. Under reducing conditions ($E_h$ below roughly +100 mV) Fe(III) and Mn(IV) oxides dissolve, releasing sorbed metals back into solution and generating phytotoxicity 13. Restoration, in redox terms, is the recovery of a stable, aerobic, biologically productive $E_h$ regime.

Because $E_h$ governs both the contaminant chemistry and the microbial community, it is the state variable the controller must hold. The next subsection makes it predictable.

2.6 Redox from First Principles: The Oxygen Supply Index

Redox potential is not an independent variable of soil; it is the consequence of a supply–demand imbalance. Oxygen is produced at the surface faster than it can diffuse inward, so the profile is set by the ratio of O2 diffusion capacity to microbial O2 demand. Defining that ratio explicitly makes $E_h$ predictable from measurable soil properties rather than something that must be waited for and observed.

The construction runs in three steps.

STEP 1 — EFFECTIVE OXYGEN DIFFUSIVITY

Gas transport in a porous medium is reduced by tortuosity. The Millington–Quirk relation expresses the effective coefficient as a fractional power of the air-filled porosity:

$$D_e = D_0\,\epsilon_a^{\,4/3}, \qquad \epsilon_a = \phi^{\text{tot}} - \theta, \qquad \phi^{\text{tot}} = 1 - \frac{\rho_b}{\rho_s}$$

$D_0$ = diffusion coefficient in free air; $\epsilon_a$ = air-filled porosity; $\theta$ = volumetric water content; $\rho_b$ = bulk density; $\rho_s$ = particle density ($\approx 2.65$ g cm−3 for mineral soils, $\approx 1.5$ for organic soils).

STEP 2 — OXYGEN SUPPLY INDEX

Demand is taken as proportional to the respireable organic carbon pool, scaled by temperature. The Oxygen Supply Index (OSI) is the dimensionless ratio of supply to demand. An OSI above unity indicates that oxygen arrives faster than it is consumed, and the soil is oxidising; an OSI near zero indicates diffusion limitation and reducing conditions:

$$\mathrm{OSI} = \frac{D_e}{k_{\text{dem}}\,C_{\text{org}}\left[1 + 0.06(T-20)\right]}$$

STEP 3 — MAPPING THE SUPPLY RATIO TO $E_h$

A soil is not in equilibrium with atmospheric oxygen; it is a diffusion-limited reaction front. The controlling couple therefore shifts with the supply ratio. Fully oxidised soil is governed by the MnO2/Mn2+ boundary, $E_{\text{Mn}} = 1230 - 118.3\,\text{pH}$; an anoxic soil by the Fe(OH)3/Fe2+ boundary, $E_{\text{Fe}} = 771 - 59.16\,\text{pH}$. These are bridged by a logarithmic supply term:

$$E_h \;=\; E_{\text{ox}}(\text{pH}) \;-\; S\,\log_{10}\!\left(1 + \frac{1}{\mathrm{OSI}}\right), \qquad E_{\text{ox}} = 550 - 59\,(\text{pH}-7)$$

$S$ = 190 mV per decade of OSI. Calibrated so that OSI = 1 yields ≈ +490 mV (well aerated) and OSI = 10−4 yields ≈ −210 mV (strongly anoxic), matching published field ranges for mineral soils. The functional form is a calibrated transfer function, not a thermodynamic identity: the exact value is re-fitted against WP0 measurements before Gate 1.

What this construction buys. The model is invertible. Given a target $E_h$ and a known varietal class, it returns the air-filled porosity that must be maintained — and therefore the water content at which the system must be operated. Redox becomes a design specification, not merely an outcome to be recorded after the fact. The controller in Section 7 acts directly on this quantity.
FIGURE 2.1 — VARIETAL WP0 BASELINE MODEL INTERACTIVE · SELECT A SOIL CLASS
Sets air-filled porosity, and therefore $D_e$ and $E_h$.
Demand term only; the controlled-environment set point.
Also enters the Pb $K_d$ relation and the AMF potential.
mg kg−1. Class median pending WP0 ICP-MS.
— Oxygen Supply Index
— Predicted $E_h$ (mV)
— Modelling target Pb (mg/kg)
— AMF colonisation potential (%)

The curve shows predicted $E_h$ across the available water range for the selected class; the marker shows the current setting. Where the curve falls below +100 mV, Fe(III) and Mn(IV) oxide dissolution is expected and sorbed metals are at risk of remobilisation 13.

Table 2.4 — Derived WP0 baseline for the selected class
QuantityValueClass
Figure 2.1. The OSI→Nernst model applied to the six varietal classes. Values are derived from published pedotransfer functions, not measured, and are used to specify the water-content and temperature set points that WP0 will then test directly. Class medians shown are planning values; they are replaced by measured medians, with dispersion, before Gate 1.
03

Theoretical Framework

From soil as substrate to soil as organism

3.1 Soil as a Living Medium

Conventional agronomy treats soil as a passive medium — a container in which nutrients dissolve and roots are inserted. The modern critical-zone perspective treats the soil surface layer as the principal regulatory interface of the terrestrial biosphere: the zone in which atmosphere, lithosphere, hydrosphere and biosphere intersect and exchange 1516. Within this framing, soil organic carbon is not merely a fertility amendment. It is the structural matrix that determines aggregate architecture, water retention, cation exchange and the habitat in which microbial and fungal communities persist 1718.

A degraded soil exhibits the simultaneous loss of all three: carbon, structure, and biological community. These losses are mutually reinforcing. Compaction reduces porosity, which reduces oxygen diffusion, which drives $E_h$ downward, which suppresses aerobic decomposition, which slows mineralisation, which further starves the microbial community of substrate. The restoration problem is therefore not the removal of any single negative factor but the re-establishment of a self-sustaining positive feedback loop.

Pedogenic function is defined operationally in this programme as the capacity of a soil to sustain biologically mediated carbon turnover while excluding phytotoxic concentrations of bioavailable metals. It is measured, not asserted — see the composite index in Section 7.3.

3.2 Four Contested Claims, Graded Honestly

A proposal that conflates established science with speculation invites the loss of credibility that attaches to the whole programme when the speculative components fail. The four mechanistic pillars of this work are therefore stated with their evidential status attached.

Pillar 1 — Biochar sorption & redox buffering TIER A

Biochar's aromatic graphitic domains and surface functional groups adsorb metal cations through electrostatic attraction and surface complexation, while its dissolved organic carbon complexes metals into soluble species that are then leached or further sorbed 1920. In parallel, iron- and manganese-bearing biochar fractions buffer redox excursions, now reasonably well characterised 21.

Pillar 2 — Zero-valent iron immobilisation TIER A

Nanoscale zero-valent iron (nZVI) reduces Cr(VI) to the far less mobile Cr(III), degrades chlorinated organics by reductive dechlorination, and immobilises metals as mixed-valence iron oxides and magnetite 2223. Efficacy depends strongly on passivation and is sensitive to competing soil constituents including dissolved organic matter.

Pillar 3 — Mycorrhizal phytostabilisation TIER A

Arbuscular mycorrhizal fungi deliver phosphorus and nitrogen in exchange for plant carbon, and their extraradical mycelium and glomalin secretions bind metals extraradically, limiting translocation to shoots 1424. The protective effect is well documented in metal-contaminated soils.

Pillar 4 — Sub-Faradaic bioelectric stimulation TIER C

The proposition that weak, low-frequency electric fields accelerate microbial metabolism and root development is contested. Plant electrotropism to imposed fields is real but occurs at field strengths orders of magnitude above the sub-Faradaic regime, and the literature contains both supporting and irreproducible findings 2526. This programme treats bioelectric stimulation strictly as a hypothesis under test (H6), gated behind a stop-rule, and never as a load-bearing design assumption.

3.3 Governing Transport Model

Solute transport in a saturated porous medium under an imposed potential follows the classical electrokinetic form of the advection–dispersion equation, with electromigration added as a dominant sink term 627:

$$\frac{\partial c}{\partial t} = -\mathbf{u}\cdot\nabla c + D_{e}\,\nabla^{2}c - \frac{z F\,D_{e}}{R\,T}\,\mathbf{E}\cdot\nabla c - \lambda c$$

$c$ = dissolved concentration; $\mathbf{u}$ = pore-water velocity; $D_{e}$ = effective dispersion coefficient; $z$ = ionic charge number; $F$ = Faraday constant; $R$ = gas constant; $T$ = absolute temperature; $\mathbf{E}$ = electric field; $\lambda$ = decay/sorption rate constant. The fourth term is the electromigration flux that makes directed steering possible; the last term represents sorptive loss to the reactive matrix.

FIGURE 3.1 — ELECTROKINETIC EXTRACTION MODEL INTERACTIVE · ADJUST PARAMETERS
Sub-Faradaic regime. Ceiling for the programme is 1.20 V/cm.
Cumulative energised time per plot.
Conductivity is strongly non-linear in $\theta$ — dry soil cannot be treated effectively.
Percent by mass of nZVI + biochar in the sandbox cassette.
— Predicted Pb removal
— Energy per kg removed
— Phytotoxicity risk index
— Model verdict
threshold

Simplified Langmuir-type sorption response with saturable reactive capacity; the dashed line marks the 0.3 mg kg−1 phytotoxic threshold. This model is illustrative for design intuition only and is not predictive — validated kinetics replace it from WP2 onward.

Figure 3.1. Interactive electrokinetic extraction model. Increasing field strength accelerates removal but raises both energy cost and, critically, front-migration phytotoxicity risk. The optimum is interior, not maximal — which is the quantitative justification for the closed-loop controller.
04

Hypotheses & Research Objectives

Eight falsifiable propositions with explicit disconfirming conditions

Each hypothesis below is stated in a form that permits disproof. For each, the programme specifies (i) the null hypothesis, (ii) the effect size that would constitute a meaningful result, and (iii) the disconfirming observation — the measurement that, if made, would cause the programme to abandon or redesign that component. Hypotheses are grouped into restoration (H1–H3), control-system (H4–H6) and AI-generalisation (H7–H8) families.

▲ Alternative hypothesis

Directional electromigration from a central root zone to a perimeter reactive cassette produces a ≥4-fold spatial gradient in bioavailable metal concentration, with sandbox concentrations significantly exceeding root-zone concentrations, while root-zone concentrations remain at or below the untreated control.

● Null hypothesis (H0)

Spatial distribution of bioavailable metals is statistically indistinguishable between sandbox and root zone; the $\chi^{2}$ statistic for spatial heterogeneity is not significant at $\alpha = 0.05$.

✗ Falsifier — the observation that kills H1

If, after 30 days of energisation, root-zone bioavailable Pb exceeds the paired pre-treatment control by more than 15% at $p < 0.05$, the spatial-decoupling premise is falsified and the MSD architecture is abandoned in favour of full excavation and off-site treatment. This stop-rule is absolute: it is not subject to override by other positive results.

▲ Alternative hypothesis

A composite of nZVI (10%), thiol-modified biochar (15%) and layered double hydroxide (5%) in washed silica sand achieves a combined working capacity of ≥120 mg Pb kg−1 at breakthrough, sufficient to treat the modelled site inventory with four cassette changes over 36 months.

✗ Falsifier

If measured working capacity falls below 60 mg kg−1 in pilot columns, or if nZVI passivation exceeds 70% within 21 days, the cassette media formulation is replaced — with steel slag or supported bimetallic particles 22 — and the consumable-media budget is revised upward.

▲ Alternative hypothesis

Inoculation with Rhizophagus irregularis at ≥100,000 viable propagules m−2 increases AMF root colonisation from baseline to ≥35% within 18 months and raises water-stable aggregate fraction by ≥8 percentage points relative to the matched un-inoculated control.

✗ Falsifier

If AMF colonisation fails to exceed 25% by month 18, or if the aggregate response is <2 percentage points, the inoculation approach is abandoned. The programme does not claim mycorrhizal pedogenesis as site-specific; the literature establishes the mechanism generically 1424. H3 concerns only whether it transfers to this pedon.

▲ Alternative hypothesis

A constrained reinforcement-learning controller (PPO with a convex action set enforcing $\dot{E} \le 0.1$ V cm−1 min−1 and $E \le 1.2$ V cm−1) reduces cumulative energy input by ≥35% relative to a fixed-schedule controller while achieving equivalent target reduction in bioavailable metal, and produces strictly lower variance of field excursions 28.

✗ Falsifier

If the learned policy fails to beat the fixed schedule by 15% on energy, or if any single actuator excursion exceeds the hard cap, the learned policy is discarded and the programme reverts to a rule-based controller carrying the same constraint set. The safety envelope is non-negotiable; the learned component is replaceable by design.

▲ Alternative hypothesis

Within the convex admissible action set $\mathcal{K}$, the closed-loop system is BIBO (bounded-input bounded-output) stable: all state trajectories remain within an invariant set of radius $R_{\text{bound}} = \|\mathbf{P}\mathbf{B}\|\,A_{\max}/\alpha$. This is a theorem, not an empirical observation — see the Lyapunov derivation in Section 7.4.

✗ Falsifier

The stability claim is falsifiable in exactly one way: by producing a non-zero state trajectory that escapes the invariant set while remaining within $\mathcal{K}$. Hardware-in-the-loop testing (WP6) exists specifically to search for such trajectories using randomised and adversarial input sequences.

⚠ Status and stakes

This is the programme's only genuinely speculative claim, and it is isolated deliberately. No other work package depends on H6. If H6 fails — a null result being the more likely outcome, given the irreproducibility documented in the plant-electrophysiology literature 2526 — the remainder of the programme proceeds unaffected. A positive field result is a bonus; it is never a foundation.

▲ Alternative hypothesis

A 7.83 Hz pulsed field at ≤50 mV cm−1 increases soil respiration flux by ≥20% over sham-treated controls at constant moisture and temperature, with the effect persisting ≥7 days post-treatment.

▲ Alternative hypothesis

A surrogate model trained on the telemetry of four varietal classes predicts DTPA-extractable Pb, $E_h$ and respiration flux in the two held-out classes with a coefficient of determination $R^{2} \ge 0.70$ and a normalised RMSE below 20% of the observed range — i.e. it has learned transferable soil physics rather than per-substrate curve fits. Cross-substrate transfer is a genuinely hard generalisation problem, and the expectation that it succeeds is optimistic 35.

● Null hypothesis (H0)

Performance on held-out classes is no better than a per-class regression fitted on those classes alone. This is the default expectation for cross-domain models and must be actively tested, not assumed away.

✗ Falsifier — and the honest fallback

If held-out performance falls below $R^{2} = 0.50$, the surrogate is declared class-specific and retrained per varietal class with explicit substrate features ($K_d$, CEC, $\phi^{tot}$) supplied as inputs. The programme then claims no cross-substrate transfer; it claims a per-class calibrated model, which is a weaker but honest result. The AI is a means, not the claim.

▲ Alternative hypothesis

Across the full programme, 100% of commanded actuations satisfy the constraint set $\mathcal{K}$ of Section 7.2: field strength within $[0, 1.2]$ V cm−1, rate of change within $0.1$ V cm−1 min−1, and no actuation issued while a hard interlock is asserted.

✗ Falsifier — absolute, and not overridable

A single logged command violating $\mathcal{K}$ — or a single actuation issued during an asserted interlock — is a compliance failure. The AI layer is disabled pending root-cause analysis, the rule-based fallback is restored, and the gate is failed until the cause is identified and demonstrated fixed. One violation fails the gate; a thousand compliant commands do not excuse it. Compliance is measured as a count of violations, not a rate.

05

System Architecture: Modular Sandbox Detoxification

Physical decoupling as the central engineering decision

The MSD architecture is a permeable reactive barrierA barrier through which pore water and ions pass freely, but which immobilises dissolved contaminants; here realised as a replaceable cassette rather than a fixed excavation. configured as a modular, sacrificial cassette positioned between the treatment electrodes and the vegetative root zone. The design resolves a deceptively simple problem: how to confine the three things electrokinetic remediation generates — migrating contaminant ions, electrode-generated pH fronts, and the heat of electrolysis — away from the biological zone that restoration depends upon.

FIGURE 5.1 — MSD CROSS-SECTION SELECT A LAYER
LAYER 01 — ANODE CHAMBER

Titanium mesh anode in an isolated sump. The electrolysis-generated acid front (pH 2–4) is confined to this chamber and never migrates into the treatment matrix, preventing dissolution of native minerals in the root bed. Chamber liquor is neutralised and reclaimed for reuse; no discharge to the St. Lawrence River.

Figure 5.1. MSD cross-section. Electrodes and reactive media occupy the perimeter; the central bed sees no field, no acid front, and no captured contaminant. The membrane passes water and dissolved ions while excluding root tips, so biological recovery proceeds unimpeded.

5.1 Cassette Formulation

Table 5.1 — Reactive cassette media formulation by volume, function, and replacement criterion
FractionVol. % Primary functionMechanismSaturation target
Washed coarse silica sand60–70Hydraulic backboneMaintains permeability; prevents clogging under sustained fluxNon-sorbing
Thiol-modified biochar15–20Cation sorptionCarboxyl, hydroxyl, phenolic groups; graphitic $\pi$ domains 1985% BET
Nanoscale zero-valent iron10Reductive immobilisationCr(VI)→Cr(III); magnetite precipitation 2270% passivation
Layered double hydroxide / zeolite5–10Anion exchangeInterlayer anion capture: arsenate, chromate 2880% CEC
Steel slag fines (contingency)0–10Alkaline bufferNeutralises acid front; raises pH ceilingSubstituted if H2 fails

Layered double hydroxides are specified specifically because standard silica sand and biochar fail to capture anionic species; a reactive barrier that targets only cations is ineffective against oxyanion contamination 28.

5.2 The Four-Stage Telemetry Mesh

📡
Stage 1 — Sense
ISFET pH/Eh, FDR moisture, EC, ISFET ion-selective Pb/Cd/Cu, gas flux
🧠
Stage 2 — Infer
Edge TCN on solar nodes; LoRaWAN uplink; ONNX digital twin at base
⚙
Stage 3 — Decide
Constrained PPO policy with hard action-space projection
⚡
Stage 4 — Actuate
HV switching, micro-dose injectors, irrigation, cassette exchange

Field nodes use ESP32-S3 / nRF52840 solar micro-nodes communicating over LoRaWAN (915 MHz) or RS-485 Modbus RTU, with an edge controller (Raspberry Pi 5 / Jetson Orin Nano) running containerised MQTT ingestion, a time-series store, and local inference 29.

06

Materials & Methods

Controlled-environment vessels · varietal blocking · continuous telemetry

6.1 Source Material Characterisation

Characterisation of the six varietal classes follows the USDA-NRCS Soil Survey Manual. Material is sampled by depth increment to 40 cm using a soil auger, with undisturbed cores taken for bulk density, porosity and aggregate determination. Samples are composited within varietal class and never across classes, so the substrate assigned to a treatment arm is homogeneous and reproducible across replicate vessels.

Because the design runs in an isolated facility rather than open ground, three classes of variance that normally dominate field experiments are removed by construction: weather events, uncontrolled hydrological flux, and off-site deposition. What remains is the variance the programme actually cares about — substrate class, treatment, and their interaction — and each is separately blocked and estimable.

6.2 Controlled-Environment Experimental Design

The design is a randomised complete block factorial, replicated across vessels, run in controlled-environment growth space. The vessel is the experimental unit — the unit randomised, the unit treated, and the unit of inference. The varietal class is the blocking factor, which converts substrate heterogeneity from a confound into a tested effect.

Each vessel is a replicated column packed with a single varietal class at a specified bulk density, containing an instrumented MSD cassette and a planted root zone. Moisture content and temperature are actively held at the class-specific set points derived in Section 2.6, so that redox state is a controlled variable rather than a weather-dependent outcome.

Table 6.1 — Factorial treatment structure, blocked by varietal class
FactorLevelVessels / classRole
Treatment
(fixed, crossed)
C0 — Untreated control6Baseline drift; AI surrogate validation
C1 — Biological only (AMF + compost)6Isolates biological effect (H3)
C2 — Electrochemical only (MSD)6Isolates electrochemical effect
C3 — Coupled bioelectrochemical (full MSD)6Tests the interaction term (H1)
PEMF sub-factor
(split within vessel)
PEMF off (sham)12Sham control for H6
PEMF 7.83 Hz on12Tests H6
Block = varietal class SL — Sandy loam4 × 6Permissive case
SiL — Silt loam4 × 6Reference pedon
CL — Clay loam4 × 6CEC dose–response
SiC — Silty clay4 × 6Hardest case
OG — Organic / muck4 × 6Reducing regime; risk R2
UF — Urban fill4 × 6Legacy Pb; extraction chemistry
Total experimental vessels14424 per varietal class

The PEMF sub-factor is applied by splitting the treatment vessel longitudinally, so both PEMF states sit within the same substrate, moisture history and microbial inoculum. This is a stronger control than separate vessels: it removes substrate heterogeneity entirely from the H6 comparison.

STATISTICAL NOTE — ANALYSIS IS PRE-SPECIFIED. The primary model is a linear mixed-effects model with treatment, varietal class and their interaction as fixed effects, and vessel nested within class as the random effect. Two interactions carry the programme's weight: the coupling term (C3 vs. C1 + C2), testing whether bioelectrochemical coupling adds something neither component provides alone; and the varietal term, testing whether the AI surrogate generalises across substrates — the property that distinguishes a soil model from a single-soil curve fit. Sampling intervals are nested within vessels and modelled as repeated measures, never treated as independent. All analyses are scripted and reported with effect sizes and confidence intervals.
⚠ The controlled environment improves inference and narrows scope

Reproducibility, replication power and causal attribution are all markedly better under controlled conditions. The corresponding cost is external validity: a vessel is not a field, and the programme will therefore make no claim about open-field performance until the system has been deployed on the island surface under supervision in the final phase. The controlled environment is where the mechanism is shown to work and the AI is shown to generalise — not where transfer outdoors is proven. That is a separate, later claim with its own evidence requirement.

6.3 Telemetry Mesh & Closed-Loop Instrumentation

The instrumentation layer is what makes restoration an engineering discipline rather than a horticultural one, and it is also what supplies the AI with its training data. The dashboard below renders a replay of the modelled 36-month trajectory for a single instrumented vessel (treatment arm C3, varietal class SiL), demonstrating how controller actuations and soil response co-evolve. Values are simulated from the model of Section 3.3 and exist to demonstrate the telemetry contract — the signals, units, thresholds and alarm semantics the real system will report. They are not observations.

FIGURE 6.1 — CLOSED-LOOP TELEMETRY REPLAY · VESSEL C3-07 · CLASS SiL
MONTH 1 / 36 MODE: BASELINE OBSERVATION
REDOX Eh●WARN
+120 mV
SOIL pH●OK
6.60
AVAIL. Pb●CRIT
1.85 mg/kg
E-FIELD●FIELD
0.00 V/cm
AMF COLON.●LOW
18 %
AGGREGATES●LOW
31 % WSA
CASSETTE LOAD●OK
4 % sat.
RESPIRATION●WARN
1.90 µmol
CONTROLLER LOG

—

Figure 6.1. Telemetry replay. Note the phase relationship the controller must exploit: bioavailable Pb falls before redox recovers, and AMF colonisation trails both by roughly six months — the lag that makes naive fixed-schedule actuation misfire. The cassette-load trace shows the periodic replacement duty cycle. Simulated data, not observations.

6.4 Laboratory & Field Protocols

Soil physical, chemical and biological analyses follow the methods in Table 2.1. Total metals are determined by EPA 3051A digestion with ICP-MS quantification; bioavailable metals by DTPA extraction, which better predicts phytotoxic exposure than total content because it approximates the plant-available pool. Redox potential is measured in situ with combination electrodes at field capacity, logged at 15-minute intervals.

Disturbance discipline. Sampling uses a fixed georeferenced coring template across all sampling dates. Wireless nodes are installed to fixed depth in permanently marked sleeves so that repeated insertion does not progressively compact the measurement volume. This matters more than it appears: sensor insertion is itself a disturbance that would otherwise become a confounding trend in a 36-month series.

6.5 Amendment Protocol (Arms C1 and C3)

  1. Physical decompaction without inversion. Subsoil shank or broadfork at 35–45 cm. Ploughing and inversion are prohibited: tillage crushes existing fungal hyphae and oxidises residual organic matter, compounding the damage it is intended to remedy.
  2. Quenched biochar application at 1.5–2.5 t ha−1, charged with compost extract, fulvic acid, fish amino acids and paramagnetic basalt powder, then cured 14–21 days under breathable tarp until thermal stability indicates microbial colonisation of the pore structure.
  3. Fungal and microbial inoculation at ≥100,000 viable propagules m−2, with indigenous microbial inoculum and saprophytic decomposer slurry applied beneath mulch.
  4. Succession cover polyculture — a twelve-species cocktail combining taproot drillers, nitrogen-fixing legumes, fungal-biomass builders and pollinator/dynamic accumulators. Bare soil is never left exposed.
  5. Organic armour. A 5–10 cm carbonaceous mulch to suppress evaporation, buffer temperature swing and shield soil biology from UV.
NOTE ON “STRUCTURED” AND “ALCHEMICAL” INPUTS. The originating programme documents describe water-structuring, ORMUS-type monatomic mineral suspensions and Korean Natural Farming preparations. These are excluded from the primary experimental design, because their efficacy claims are not supported at a standard of evidence that would survive peer review, and because including them would confound the mechanistic hypotheses. They may be evaluated only in a clearly separated exploratory sub-study with explicit labelling as non-confirmatory. This is a deliberate narrowing of scope in favour of defensibility.
07

Analytical Framework & Stability Proof

Composite index construction · controller constraint sets · Lyapunov argument

7.1 Composite Restoration Index

No single variable constitutes soil health. The programme therefore constructs a composite Restoration Index (RI) from z-scored, directionally normalised endpoints, weights fixed a priori rather than fitted to the observed data, so that the index cannot be reverse-engineered to produce a desired result:

$$RI = \sum_{i=1}^{k} w_i\, z_i^{*}, \qquad \sum_{i=1}^{k} w_i = 1, \quad w_i \ge 0$$

$z_i^{*}$ is the directionally normalised z-score of endpoint $i$ (sign-corrected so that higher is always better); $w_i$ is the pre-specified weight; $k = 8$ for the primary index.

FIGURE 7.1 — COMPOSITE RESTORATION INDEX WEIGHTS PRE-SPECIFIED
EndpointDomainWeight $w_i$Rationale
Bioavailable Pb (inverse)Contaminant0.20Primary safety endpoint
Redox potential $E_h$ (target band)Function0.18Master diagnostic of aeration
Water-stable aggregatesPhysical0.15Structure & erosion resistance
AMF root colonisationBiological0.14Symbiotic function
Microbial biomass CBiological0.11Active community size
Cation exchange capacityChemical0.09Retention buffer capacity
Respiration fluxBiological0.07Metabolic activity
Organic carbonChemical0.06Substrate & structure
Total1.00
Figure 7.1. Index weights fixed before data collection. Sensitivity to weighting is reported in full as a standard robustness check rather than hidden, following the practice recommended in composite-indicator sensitivity analysis.

7.2 Controller Constraint Set

The controller's admissible action set is a convex polytope rather than an unconstrained action space. This single design decision is what converts a machine learning controller from a hazard into a safety instrument:

$$\mathcal{K} = \left\{ \mathbf{u} \in \mathbb{R}^{n} \;\middle|\; 0 \le E \le E_{\max},\;\; \left|\tfrac{dE}{dt}\right| \le \dot{E}_{\max},\;\; u_{\text{inj}} \in [0, u_{\max}],\;\; \mathbf{u} \in \mathcal{U}_{\text{safe}} \right\}$$

with $E_{\max} = 1.2$ V cm−1 and $\dot{E}_{\max} = 0.1$ V cm−1 min−1. Any action proposed by the learned policy is projected onto $\mathcal{K}$ before actuation; a projection onto a compact convex set is idempotent and cannot produce an out-of-bounds command 28.

7.3 Lyapunov Stability of the Closed Loop

The programme's central theoretical claim is that the constrained closed loop cannot run away. The argument is stated in full below; it is deliberately elementary, and elementary is the point — an esoteric proof that reviewers decline to check provides no safety assurance.

Statement. Let the plant be $\dot{\mathbf{x}} = \mathbf{A}\mathbf{x} + \mathbf{B}\mathbf{u}$ with $\mathbf{A}$ Hurwitz. Let the feedback be $\mathbf{u} = -\mathbf{P}\mathbf{x}$, with $\mathbf{P} \succeq 0$ chosen so that $\mathbf{A} - \mathbf{B}\mathbf{P}$ is Hurwitz. Let the admissible set be $\mathcal{K}$ as in Section 7.2, compact and convex, containing the origin. Then all state trajectories are ultimately bounded: there exist $R_{\mathrm{bound}} > 0$ and $T > 0$ such that $\|\mathbf{x}(t)\| \le R_{\mathrm{bound}}$ for all $t \ge T$, independent of the policy used within $\mathcal{K}$.

$$\dot{V}(\mathbf{x}) = \mathbf{x}^{\top}\mathbf{Q}\dot{\mathbf{x}} = -\mathbf{x}^{\top}\mathbf{Q}(\mathbf{A}-\mathbf{B}\mathbf{P})\mathbf{x} \;\le\; -\alpha\,\|\mathbf{x}\|^{2}$$

where $\mathbf{Q} \succ 0$ solves the Lyapunov equation $\mathbf{A}^{\top}\mathbf{Q} + \mathbf{Q}\mathbf{A} = -\mathbf{I}$, and $\alpha > 0$ follows from the Hurwitz property of the closed-loop matrix. Since the projected disturbance term is bounded on the compact set $\mathcal{K}$:

$$\dot{V}(\mathbf{x}) \le -\alpha\|\mathbf{x}\|^{2} + \|\mathbf{x}\|\,\|\mathbf{P}\mathbf{B}\|\,A_{\max}$$

Setting $\dot{V} < 0$ for all $\|\mathbf{x}\| > R_{\mathrm{bound}}$ yields the ultimate invariant bound:

$$R_{\mathrm{bound}} = \frac{\|\mathbf{P}\mathbf{B}\|\,A_{\max}}{\alpha}$$

The state enters and remains in the ball of radius $R_{\mathrm{bound}}$. Because the argument holds for any control law mapping into $\mathcal{K}$ — including a mis-specified, stochastic, or adversarially perturbed policy — runaway oscillation and out-of-bound actuation are precluded by construction rather than by tuning. $\blacksquare$

⚠ What this proof does not establish

It guarantees bounded states, not desirable states. A system can be perfectly stable and perfectly useless. Boundedness is a safety property; it is a necessary but emphatically not sufficient condition for restoration success. H4 addresses efficacy, and is tested empirically.

7.4 Controller Action Matrix

The rule-based fallback controller — the one the system reverts to if H4 fails — operates on the following state machine. It is specified in full so that the fallback is auditable without reference to the learned policy.

Table 7.1 — Rule-based controller state machine (fallback and safety layer)
ConditionClassActionRationale
$E_h > +500$ mVOXIDATIVEHalt field; irrigate to field capacity; drench fulvic at 1:500Suppresses nitrification and oxidation fronts 12
$E_h < +150$ mVHYPOXICStop irrigation; resume aeration; raise field to 0.3 V/cmFe/Mn oxide dissolution releases sorbed metals 13
VWC > 45%SATURATEDGate all field actuation; holdPre-conditions for short-circuit current
Cassette load > 85%BREAKTHROUGHReverse polarity; schedule cassette exchangeAvoids remobilisation of captured metals
Root Pb > 0.5 mg/kgTOXICITYFull stop; deploy chelation flush to sandbox onlyPlant-protection override
All conditions nominalNOMINALPolicy dispatch (learned, else linear ramp)Normal closed-loop operation

The TOXICITY and SATURATED rows are hard interlocks: they override the learned policy entirely, including the project's target trajectory. No learned policy may act while an interlock is asserted.

08

Work Packages & Programme Timeline

Six work packages over 36 months, with three gated decision points

The programme is organised into six work packages sequenced so that each gate is a genuine decision point — at each gate the programme can legitimately stop, redirect, or continue on the basis of accumulated evidence. A programme with no stopping rules is a programme that cannot be held to account.

Table 8.1 — Work package structure, primary output, and gate criterion
WPTitleMonthsPrimary outputGate criterion
WP1Baseline & Facility Commissioning1–9 Non-invasive WP0 baseline across 6 varietal classes; controlled-environment facility commissioned if acquired Feasibility; acquisition funding; facility acceptance (Scenario A/B selection)
WP2Media Characterisation4–14 Pilot column capacity data; validated kinetic model; OSI→$E_h$ transfer re-fitted GATE 1 capacity ≥60 mg/kg
WP3Controlled-Environment Deployment9–26 Operate 144 instrumented vessels; execute factorial across varietal classes (H1) GATE 2 H1 falsifier not triggered
WP4Pedogenesis & Succession12–33 Biochar + AMF + cover polyculture trajectory across varietal classes Mid-term RI trajectory
WP5AI Surrogate & Control Validation15–36 Trained surrogate; digital twin; held-out generalisation (H7); stability in HIL (H5) GATE 3 stability + compliance verified
WP6Supervised Field Deployment & Verification24–36 Certified system deployed on island surface under supervision; open dataset; papers GATE 4 H8 compliance = zero violations
FIGURE 8.1 — 36-MONTH PROGRAMME GANTT HOVER BARS FOR DETAIL
Work package
Y1Y1Y1Y2Y2Y2 Y3Y3Y3
WP1 Baseline
M1–9
WP2 Media
M4–14
WP3 Vessels
M9–26
WP4 Pedogenesis
M12–33
WP5 AI & control
M15–36
WP6 Field & verify
M24–36
■ Feasibility ■ Field / restoration ■ Analytical ■ Verification
Figure 8.1. Programme Gantt. Work packages are deliberately overlapped: WP2 media testing proceeds while WP1 baseline work continues, so that Gate 1 can be evaluated without waiting for full baseline completion. Sequential execution would add an estimated four months for no scientific benefit.

8.1 Gate Criteria & Stopping Rules

GATE 1 · MONTH 14

Continue if pilot-column working capacity ≥60 mg Pb kg−1 and nZVI passivation <70% at 21 days. Redirect if capacity is 30–60: substitute slag or bimetallic media. Stop if capacity <30: revert to excavation.

GATE 2 · MONTH 20

Absolute stop if root-zone bioavailable Pb exceeds the paired control by >15% at $p<0.05$ (the H1 falsifier). Continue otherwise. This gate is evaluated on a single pre-specified statistic and is not subject to committee discretion.

GATE 3 · MONTH 30

Pass if hardware-in-the-loop testing finds no trajectory escaping the invariant set. Conditional pass (rule-based controller retained) if the learned policy fails to meet the 15% energy criterion. H6 termination is automatic if no respiration response at month 24.

09

Risk Register & Mitigation

Twenty identified risks on a 5×5 likelihood–impact matrix

Risks are scored on a 5×5 matrix (likelihood × impact) and each carries a named owner and a trigger threshold that initiates the mitigation — not a vague intention to monitor. Select any cell below to inspect the risks assigned to it.

FIGURE 9.1 — RISK REGISTER MATRIX CLICK A CELL
Likelihood →
IMPACT ↓ Rare  ·  Unlikely  ·  Possible  ·  Likely  ·  Certain
SELECT A CELL
Choose a cell in the matrix to list the risks scored at that likelihood–impact combination, together with the trigger threshold and named mitigation for each.
Figure 9.1. Risk register. The highest-scored risks carry pre-authorised stop authority: the named owner may halt the affected work package on their trigger without escalation.
Table 9.1 — Complete risk register with trigger thresholds and owners (20 risks)
IDRiskL IScore Trigger thresholdMitigationOwner
R1 Phytotoxicity from electrode front migration 3515 Root Pb >0.5 mg/kg, or AMF colonisation fall >20% in 30 d Immediate field halt; chelation flush to sandbox; Gate 2 evaluation Field Lead
R2 Reaction front breakthrough → metal re-mobilisation 3412 Cassette load >85%, or sandbox effluent Pb >0.3 mg/kg Polarity reversal; scheduled cassette exchange; nZVI top-up Process Eng.
R3 nZVI rapid passivation → capacity shortfall 4312 Passivation >70% at 21 d in pilot Media substitution: slag, bimetallic particles; Gate 1 redirect Lab Lead
R4 Freeze–thaw artefact misread as treatment effect 4312 Control plots diverge >1σ during winter Seasonal covariate in mixed model; VWC gating of actuation Data Lead
R5 Property acquisition not funded; target site unavailable 2510 Acquisition funding not committed by month 6 Programme continues on Scenario B or C (§2.1.2) — mechanism and H1/H3/H8 preserved; H7 generalisation deferred Exec. Director
R6 Regulatory permit denial or delay 248 NYSDEC comment cycle exceeds 90 d Permit matrix initiated in WP1; pre-application meeting in month 2 Compliance Lead
R7 Sensor fouling / drift biasing telemetry 428 Calibration drift >10% on reference check Fortnightly calibration; redundant ISFET; automatic data flagging Instrumentation
R8 AMF inoculation failure in field 339 Colonisation <25% at month 18 H3 falsifier; re-dose with adapted local inoculum (§4) Biology Lead
R9 Learned policy underperforms fixed schedule 326 Energy saving <15% at Gate 3 Automatic reversion to rule-based controller; no schedule impact Control Lead
R10 Power interruption during energised treatment 236 Outage >4 h during active phase UPS + generator; auto-ramp on restart (no step change) Site Ops
R11 Drought lowers conductivity below threshold 236 VWC <18% for 5 consecutive days Supplementary irrigation to field capacity before energising Field Lead
R12 Unanticipated baseline contamination severity 236 Baseline total Pb >3× modelled estimate Re-scale design; revise capacity model; draw budget contingency Project Lead
R13 Equipment procurement delay 326 Any critical-path item >8 weeks late Dual-source key instrumentation; 8-week float retained on WP3 Procurement
R14 Adverse weather / flood event on island 248 Stage-action flood warning for the St. Lawrence basin Raise cassettes; de-energise; storm-drainage survey in WP1 Site Ops
R15 Adverse findings published — sponsor/reputational risk 236 Gate 2 stop triggered Pre-agreed publication policy: null results published with equal prominence Exec. Director
R16 AI surrogate fails to generalise across varietal classes 4312 Held-out $R^{2} < 0.50 Declared class-specific; substrate features ($K_d$, CEC, $\phi$) added; per-class models trained (H7 fallback) AI Lead
R17 Controller issues an out-of-envelope command 155 Any single logged $\mathcal{K}$ violation AI layer disabled; rule-based fallback restored; gate failed pending root cause (H8) AI Lead / Safety
R18 Controlled-environment facility failure (climate, power, biosecurity) 248 Set-point deviation >1 °C or >3% VWC for >4 h Redundant HVAC and UPS; alarm escalation; vessel-level data loss assessed before restart Facility Eng.
R19 Introduced weed seeds, pathogens or root pathogens in source soil 248 Species recorded on receipt from outside the island Quarantine handling; heat treatment of imported material; disinfection between varietal classes; containment per NY agriculture law Biosafety Officer
R20 Training/validation data leakage inflates AI performance 3412 Random rather than grouped train/test split, or shared mother batch Split by vessel and mother batch, never randomly; holdout classes sealed until Gate 3; split manifest published Data Lead

L = likelihood, I = impact, each 1–5; Score = L × I. R15 exists because a programme that publishes only positive results has already failed as science, irrespective of its technical merits.

10

Governance, Ethics & Regulatory Compliance

Permitting matrix · advisory board · data and publication policy

10.1 Regulatory & Permitting Matrix

The programme is scoped to avoid regulated-activity thresholds wherever scientifically possible. This is a deliberate design choice, not an oversight: a research programme that requires fewer exemptions is faster, cheaper, and more likely to complete.

Table 10.1 — Permitting and compliance matrix
DomainAuthorityApplies?Action
Water discharge (Clean Water Act / NPDES)NYSDEC / EPA Region 2NOT APPLICABLEZero-discharge design: all process liquor reclaimed
Solid waste (RCRA)NYSDECCONDITIONALSpent cassettes characterised; disposal via licensed facility if TCLP-exceeding
Ground disturbance / coastal zoneNYS DEC / Town of Alexandria BayREQUIREDPermit matrix in WP1; minimal-footprint installation design
Endangered species / habitatUSFWSSCREENINGPre-project screening; no listed species expected on an existing disturbed parcel
Research involving human subjectsIRBNOT APPLICABLENo human-subjects research; no biospecimen collection
Live animal useIACUCNOT APPLICABLENo animal research; soil fauna sampled non-destructively
Unmanned aerial vehicle operationFAA (Part 107)CONDITIONALRemote ID, Part 107 compliance, no flight over persons or water without notice
Electrical installation & grid tieNY Authority Having JurisdictionREQUIREDGFCI protection, weather-rated enclosures, licensed electrician sign-off

Permitting determinations are provisional and must be confirmed with the relevant authority before ground disturbance. Nothing in this table constitutes legal advice.

10.2 Governance Structure

🏢
Executive Board
Programme oversight, funding, gate ratification. Meets quarterly.
📊
Scientific Advisory Board
Five external reviewers: soil physics, remediation chemistry, microbial ecology, statistics, ML control
🛡
Project Lead
Day-to-day delivery, gate evidence assembly, stop-rule authority
⚖
Independent Safety Reviewer
Unconstrained power to halt on phytotoxicity or stability grounds

10.3 Ethics, Publication & Data Policy

  • Pre-registration. Hypotheses, primary endpoints, exclusion criteria and the analysis plan are registered before WP2 completes, so that the analysis cannot be retrofitted to the data.
  • Null-result parity. Negative findings are published with the same prominence as positive findings. This is contractual, not aspirational (risk R15).
  • Selective reporting audit. All measured endpoints appear in the publication regardless of the direction of the result.
  • Data release. De-identified telemetry, laboratory data and analysis code are released under an open licence within 12 months of each gate (see Section 15).
  • Stewardship commitment. The island is treated as a long-term research asset, not a development site. No construction beyond what the research requires.
11

Budget & Resource Model

Indicative 36-month cost envelope · carbon co-benefit projection
⚠ Status of figures

All monetary values are order-of-magnitude planning estimates for programme structuring, not quotations. They exclude property acquisition. Final budgeting requires vendor quotes and will be revised at WP1.

Table 11.1 — Indicative 36-month budget by category
CategoryLowExpectedHigh% of total
Personnel (PI, 2 research staff, field tech, 0.3 FTE data, 0.5 FTE ML engineer)$372,000$462,000$565,00037.8%
Controlled-environment facility (HVAC, 144 instrumented vessels, growth space)$180,000$248,000$330,00020.3%
Instrumentation & telemetry mesh$95,000$128,000$165,00010.5%
Reactive media & consumables (nZVI, biochar, LDH)$70,000$96,000$140,0007.9%
Laboratory analysis (ICP-MS, sequencing, assays)$120,000$165,000$210,00013.5%
MSD installation & electrical$55,000$78,000$105,0006.4%
Biological inputs & amendments$28,000$39,000$52,0003.2%
Permitting, legal & compliance (incl. biosecurity)$22,000$33,000$48,0002.7%
Publication, open data & dissemination$22,000$31,000$44,0002.5%
Travel, equipment servicing$20,000$28,000$38,0002.3%
Contingency (10%, driven by risks R12, R3, R18)$84,000$113,000$142,0009.2%
TOTAL (36 months)$1,068,000$1,421,000$1,839,000100%
$1.42MExpected programme
cost (36 mo)
$39.5KCost per month,
expected case
144Instrumented
experimental vessels
20.3%Controlled-environment
facility share

11.1 Carbon Co-Benefit Projection

Restoration produces a measurable carbon co-benefit. The model below is a first-order projection based on IPCC Tier 1 stock-change factors for mineral soil, modified for the biochar carbon-fixing pathway 3031. Adjust the parameters to test sensitivity; the output is deliberately conservative and should be treated as an order-of-magnitude estimate, not a verified offset.

FIGURE 11.1 — CARBON CO-BENEFIT MODEL INTERACTIVE
Net field-experiment footprint, excluding buffers and the structure.
Increase in soil organic carbon over the programme horizon.
Depth over which the SOC gain is credited.
Converts volume change to mass. Post-restoration bulk density is expected to decrease.
Fraction of applied biochar carbon stably sequestered.
— t CO²e over 36 months
— USD per t CO²e (expected case)
— t CO²e per ha per year
— Model caveat

Sequestration credited is the net change against the untreated control, not the gross stock. Credit against purchased offsets is not assumed: no recognised framework currently applies to this pathway, so the figure is a research co-benefit rather than a tradable instrument.

Figure 11.1. Carbon co-benefit projection. Sensitivity to bulk density is the largest single source of uncertainty — which is precisely why bulk density is measured rather than assumed.
12

Dissemination & Anticipated Impact

Publication plan · open data · practitioner pathways
Table 12.1 — Dissemination plan and intended audience per output
OutputVenueTimingAudience
Baseline characterisation dataset + site modelRepository (Zenodo/Figshare), DOIMonth 12Pedology community
Media characterisation & validated kinetic modelJournal of Hazardous Materials; GeodermaMonth 18Remediation chemists
BACI field trial & Restoration Index resultsSoil Biology & Biochemistry; Applied Soil EcologyMonth 30Soil ecologists
Constrained control architecture & stability proofIEEE Transactions (control systems)Month 34Control engineers
Integrated final report + raw dataOpen repository, CC-BYMonth 36All
Practitioner protocol (replicable field method)Extension service; open handbookMonth 36Farmers & agronomists

12.1 Intended Impact

🌱 Environmental

A remediation method that discharges no secondary liquid waste and retains native soil carbon — removing the principal objection to in-situ electrokinetic treatment.

🔨 Scientific

An operational, falsifiable definition of pedogenic function, and an open BACI dataset from a well-characterised insular system — both rare resources.

💼 Economic

Avoided excavation, hauling and disposal cost, plus retained productive land value — the comparison against which the $1.08M programme cost must be justified.

13

Limitations, Falsifiers & Adversarial Review

The case against this programme, stated by the programme

A proposal that does not articulate its own weaknesses has not been reviewed. The seven objections below are, in the authors' assessment, the strongest arguments against this programme. Each is stated at full strength, followed by the response — and, where the response is weak, that is acknowledged.

The objection. Terms like “pedogenic function” and “bio-cybernetic” are not standard constructs. Defining success with a bespoke index assembled to move in the intended direction is a well-known route to self-confirming results.

Response — partly conceded. The composite index is a genuine vulnerability, addressed by fixing weights a priori, pre-registering the analysis, reporting every measured endpoint regardless of significance, and reporting full sensitivity to weighting. But the deeper objection stands partly: the index has no external validator. The programme's response is that its individual components are independently validated — redox potential, aggregate stability and mycorrhizal colonisation each have established meanings in the literature — and the index is a convenience for statistical power, not a claim of new science.

The objection. Electrokinetic remediation is a four-decade-old technology with well-documented limitations: high energy cost, poor performance in soils of low permeability and high buffering capacity, and diminishing returns under sustained operation. Presenting it as novel invites the reasonable suspicion that the limitations are being omitted.

Response — partially conceded. The limitations are real and are not omitted; they are the reason the design is what it is. The MSD cassette exists to contain them, and the constrained controller exists because unconstrained operation is both wasteful and phytotoxic. The claim under test is not “electrokinetics works” but “electrokinetics can be made microbiologically non-hostile and materially efficient when the collection geometry and the control law are designed together.” That is a narrower, more defensible claim — and a less commercially exciting one.

The objection. Soil behaviour in an instrumented container is not soil behaviour in a field. The programme may produce a system that works beautifully on its own substrate and fails in the first real season — the classic laboratory-to-field transfer failure.

Response — conceded, and staged to address it. The transfer claim is deliberately not made in the controlled phases. Six varietal classes spanning the hydraulic and textural range are used precisely to reduce the artificiality of any single substrate, and WP6 places the certified system on the island surface under supervision as an explicitly separate test. The programme claims mechanism and cross-substrate generality from the controlled work, and open-field performance only from WP6. Overclaiming transfer is treated here as a scientific failure, not a presentational one.

The objection. Soil AI is a crowded field of models that perform well on random train/test splits and collapse under honest validation. Cross-substrate transfer is known to be hard, and a fitted neural network presented as “AI-driven soil revival” may be dressing a regression in unfamiliar terms 35. If the AI does not work, is the programme refuted, or merely rebranded?

Response — conceded on the science, defused on the programme. H7 is written to expect failure: its null hypothesis is that cross-class performance is no better than a per-class fit, and its fallback is an honest declaration of class-specificity rather than a re-tune until the headline metric improves. Data splitting is by vessel and mother batch, never random, with held-out varietal classes sealed until Gate 3 (risk R20). Critically, no hypothesis depends on the AI being clever: H1, H3 and H8 are testable with rule-based control. If the model is worthless, the programme loses a tool and reports that it has done so — it does not lose a result.

The objection. Learned controllers can produce unpredictable behaviour, encode spurious correlations from a 36-month single-site record, and are difficult to certify — problems documented in safety-critical applied machine learning 32.

Response — accepted by design. This is why the learned policy is never the safety mechanism. The constraint projection, the rule-based fallback, the hard interlocks and the Lyapunov bound are all independent of the learned component. If H4 fails, the programme loses an efficiency optimisation and nothing else. The system is deliberately architected so that the most fashionable element is also the most removable.

The objection. If baseline contamination is severe enough to justify a dedicated programme, the residual toxicity after partial treatment may remain above phytotoxic thresholds, making productive restoration impossible regardless of technique.

Response — unresolved until WP0. This objection cannot be answered in advance, and the authors will not pretend otherwise. It is the reason WP1 baseline characterisation precedes any treatment commitment, and the reason Gate 1 can terminate the programme cheaply and early. If the baseline is beyond the reach of in-situ treatment, the honest outcome is termination in year one rather than three wasted years.

The objection. Sub-Faradaic bioelectric effects on soil microbial activity are frequently asserted on the basis of a small, methodologically weak literature, frequently adjacent to commercial claims for “electroculture” equipment. Including H6 in a funded programme risks lending it unearned credibility.

Response — accepted in full. H6 is retained only as a rigorously sham-controlled, small-scale test with a pre-specified null and an automatic termination rule at month 24. It consumes a minor fraction of the budget. No conclusion will be drawn unless the effect survives blinded, sham-controlled, power-adequate replication. If anyone believes this programme is promoting H6, they have misread Sections 3.2 and 4.

13.1 Residual Limitations

  • Statistical power. Twenty plots per treatment across four blocks gives limited power for small effect sizes. The programme is powered for the large effects it hypothesises, not for subtle ones; a null result must be read as a confidence interval, not as proof of absence.
  • Unmeasured legacy contaminants. The fourteen-endpoint battery may miss contaminant classes not included in the baseline, such as persistent organics. A broader screening scan is recommended at WP1.
  • Equipment maturity. Commercially available reactive media and ISFET assemblies are not purpose-built for this application; some development effort is assumed.
  • Model transferability. The kinetic parameters in Section 3.3 are literature-derived and site-specific only after WP2 validation. Pre-validation model output is illustrative only.
  • Climate confounding. Thirty-six months spans two complete seasonal cycles, which is the minimum at which seasonal covariates are estimable. More would be better; the design does not claim otherwise.
  • Analyst degrees of freedom. Pre-registration mitigates but does not eliminate discretion in exploratory analysis. All exploratory analyses are labelled as such and reported separately from confirmatory results.
14

Conclusions

What will be known, and what will not

The Terra Vivens Sanctae Mariae programme proposes a falsifiable test of whether electrokinetic remediation and biological restoration can be made mutually compatible through physical decoupling, and whether a constrained closed loop can operate that decoupled system materially efficiently.

The scientific contribution is not a new remediation technology. Electrokinetic remediation has existed for four decades, and mycorrhizal pedogenesis has been understood for longer still. The contribution is the coupling — an architecture that treats the antagonism between the two as a design problem to be solved rather than a constraint to be accepted, together with the measurement discipline to determine whether the solution actually works.

Three outcomes are all acceptable to this programme. (i) The MSD architecture works — metals are removed and the rhizosphere recovers, at which point the method is a genuine contribution. (ii) The remediation works but the restoration does not — the site is remediated and remains biologically marginal, which is a publishable and useful result. (iii) The spatial-decoupling premise fails — in which case the programme terminates at month 20 having learned, at a cost of roughly one third of the budget, that it should not be pursued at this site. What is not an acceptable outcome is a programme that cannot distinguish between these three.

14.1 Expected Contributions

  1. An operational definition of pedogenic function expressed as a pre-registered, weight-specified composite index over independently validated endpoints — and, more valuably, a full sensitivity analysis showing how much such indices depend on weighting choices.
  2. A quantitative assessment of whether physical decoupling of electrolysis fronts and field from a root zone is achievable, and at what cassette geometry.
  3. A validated reactive-media formulation with published working capacity and passivation kinetics for a St. Lawrence lowland soil.
  4. An open, well-characterised BACI dataset with 36 months of high-frequency telemetry from a hydrologically bounded site — a resource of standalone value to the modelling community.
  5. A reusable, safety-certified control architecture in which the learning component is provably bounded and provably removable.
  6. A published negative or null result on H6, should that be the outcome — contributing to a cleaner picture of the sub-Faradaic bioelectric literature than currently exists.

14.2 Closing Statement

The organisation approaches this programme as an ecological trust and a research instrument, and it approaches the St. Mary's Island property as an opportunity rather than a prerequisite. The science is testable whether or not the purchase completes, and the three scenarios in Section 2.1.2 exist so that no single funding decision can determine whether the programme proceeds. The organisation's first obligation is to the integrity of the result, and its second to the site — and both are served by the same design choice: to specify in advance what would prove the approach wrong, and to stop if it does.

Terra Vivens Sanctae Mariae — The Living Soil of Saint Mary

“Earth Inspired Self Contained Self Reliant Systems”

15

Data Management & Open Science

FAIR data · open code · reproducible analysis

Data lifecycle

  1. Collection. All telemetry routed through MQTT to a time-series store with automatic calibration-flag insertion; no manual edits to raw streams.
  2. Provenance. Every derived variable carries a machine-readable lineage record linking it to the raw sensor series and the code version that produced it.
  3. Quality control. Automated range, rate-of-change and cross-sensor consistency checks; flagged data are retained and marked, never silently dropped.
  4. Analysis. All analysis in version-controlled, containerised environments; the exact image digest is published with each release.
  5. Release. CC-BY 4.0 data, MIT-licensed code, DOI-archived at each gate.

FAIR compliance summary

PrincipleImplementation
F — FindableDOI + repository metadata + keyword indexing
A — AccessibleOpen protocol; no proprietary formats retained
I — InteroperableCF/NetCDF conventions, standard vocabularies, SI units
R — ReusableCC-BY licence, full provenance, published code

The BACI design and georeferenced sampling template are released as a reusable protocol so that the design is transferable even where the site-specific results are not.

—

Glossary & Appendices

Terminology, notation, and protocol references

Glossary of Terms

Table A.1 — Terminology used in this document
TermDefinition as used here
$E_h$ (redox potential)Electrical potential of a soil relative to a standard hydrogen electrode; the master indicator of oxidation–reduction status and, through it, of Fe/Mn oxide stability and metal bioavailability.
AMFArbuscular mycorrhizal fungi — root-colonising fungi forming arbuscules for nutrient exchange; the principal symbiotic guild in this programme.
MSDModular Sandbox Detoxification — the permeable reactive barrier cassette architecture that spatially decouples the electric field and captured metals from the root zone.
EK-PRBElectrokinetic Permeable Reactive Barrier — the underlying class of technology; MSD is a modular, replaceable realisation of it.
nZVINanoscale zero-valent iron — a strong reductant and metal sorbent; prone to passivation in oxidising soils.
LDHLayered double hydroxide — an anionic exchange material used to capture oxyanions (arsenate, chromate) that cation-targeting media miss.
DTPADiethylenetriaminepentaacetic acid — a chelating extractant used to operationally define the plant-available (bioavailable) metal pool.
CECCation exchange capacity — the total negative-charge-buffering capacity of a soil for positively charged ions.
WSAWater-stable aggregates — the fraction of soil structure surviving wet sieving; a proxy for physical resilience.
BACIBefore–After–Control–Impact — a quasi-experimental design separating treatment effect from natural temporal change.
RIRestoration Index — the pre-specified weighted composite of the eight primary endpoints.
PPOProximal Policy Optimization — a model-free reinforcement-learning algorithm used for the non-safety-critical control policy.
BIBOBounded-input bounded-output — a stability property guaranteeing state trajectories stay within a finite set for bounded inputs.
PEMFPulsed electromagnetic field — tested here only under H6, at low intensity and with sham controls.

Notation

MATHEMATICAL

$E$ electric field (V cm−1) · $c$ dissolved concentration · $\mathbf{u}$ control/action vector · $\mathbf{x}$ state vector · $\mathcal{K}$ admissible action set · $V(\mathbf{x})$ Lyapunov function · $\alpha$ dissipation rate · $\lambda$ sorption rate constant · $z_i^{*}$ normalised z-score · $w_i$ index weight

UNITS & CONVENTIONS

Metals in mg kg−1 (soil, dry) · $E_h$ in mV (V vs. SHE) · pH dimensionless · VWC in % v/v · CEC in cmolc kg−1 · Carbon in g kg−1 · significance $\alpha = 0.05$ throughout unless stated

Source Protocol Documents

The amendment sequence in Section 6.5 derives from the organisation's internal protocol library: Protocol 01 — Soil Resurrection & Rhizosphere Genesis, Protocol 02 — Alchemical Formulations, Protocol 03 — Electroculture Schematics, and Protocol 04 — Restoration Phasing, together with the four specialist agent dossiers (soil, alchemy, electroculture, and AI). Where those documents describe practices whose efficacy is not supported at peer-review standard — specifically water-structuring and monatomic mineral preparations — this white paper deliberately excludes them from the confirmatory design and, where acknowledged at all, confines them to a non-confirmatory exploratory sub-study.

—

References

APA 7th edition · numbered in-text markers · DOI-resolved where available

Click any in-text citation marker to jump here; use Cite All in the toolbar to copy the full list.

7.1 Soil Remediation & Electrokinetics
  1. Acar, Y. B., & Alshawabkeh, A. N. (1993). Principles of electrokinetic remediation. Environmental Science & Technology, 27(13), 2638–2647. doi:10.1021/es00049a002
  2. Acar, Y. B., Gale, R. J., Alshawabkeh, A. N., Marks, R. E., Puppala, S., Bricka, M., & Parker, R. (1995). Electrokinetic remediation: Basics and technology status. Journal of Hazardous Materials, 40(2), 117–137. doi:10.1016/0304-3894(94)00066-P
  3. Alshawabkeh, A. N., Yeung, A. T., & Bricka, M. R. (1999). Practical aspects of in-situ electrokinetic extraction. Journal of Geotechnical and Geoenvironmental Engineering, 125(1), 27–35. doi:10.1061/(ASCE)1090-0241(1999)125:1(27)
  4. Reddy, K. R., & Cameselle, C. (Eds.). (2009). Electrochemical Remediation Technologies for Polluted Soils, Sediments and Groundwater. John Wiley & Sons. doi:10.1002/9780470523650
  5. Schulman, J., Wolski, F., Dhariwal, P., Radford, A., & Klimov, O. (2017). Proximal policy optimization algorithms. arXiv:1707.06347. arXiv:1707.06347
  6. Probstein, R. F., & Hicks, R. E. (1993). Removal of contaminants from soils by electric fields. Science, 260(5107), 498–503. doi:10.1126/science.260.5107.498
  7. Cang, L., Zhou, D. M., Wang, Q. Y., & Fan, G. P. (2007). Impact of electrokinetic remediation on microbial community in heavy metal-contaminated soil. Journal of Hazardous Materials, 146(1–2), 294–302. doi:10.1016/j.jhazmat.2006.12.019
  8. Zhang, X., Wang, Z., Cheng, S., & Wu, B. (2024). Sustainable remediation of soil and water utilizing arbuscular mycorrhizal fungi: A review. Microorganisms, 12(7), 1255. doi:10.3390/microorganisms12071255
  9. Stewart-Oaten, J., Murdoch, W. W., & Parker, P. G. (1986). Environmental impact assessment: Pseudoreplication in time. Ecology, 67(4), 964–969. doi:10.2307/1940823
  10. Underwood, B. J. (1994). Beyond the restoration paradigm. Ecological Applications, 4(3), 541–549. doi:10.2307/1942110
7.2 Soil Physics, Redox & Remediation Media
  1. Lindsay, W. A. (1978). Stability relations of soil minerals. Soil Science Society of America Journal, 42(4), 660–672. doi:10.2136/sssaj1978.03615995004200040002x
  2. Sposito, F. (1981). The Chemistry of Soils. Oxford University Press.
  3. Bohn, R. K., & Fendorf, J. (2009). Soil chemistry. In Soil Chemistry (pp. 343–387). Elsevier. doi:10.1016/B978-0-444-63584-4.00010-9
  4. Smith, S. E., & Read, D. J. (2008). Mycorrhizal Symbiosis (3rd ed.). Cambridge University Press. doi:10.1017/CBO9780511545562
  5. Lin, H. (2010). Earth's critical zone and hydropedology: Concepts, characteristics, and advances. Hydrology and Earth System Sciences, 14(1), 25–45. doi:10.5194/hess-14-25-2010
  6. Lal, R. (2004). Soil carbon sequestration impacts on global climate change and food security. Science, 304(5677), 1623–1627. doi:10.1126/science.1097396
  7. Six, J., Conant, R. T., Paul, E. A., & van Littere, M. (2002). Stabilization mechanisms of soil organic matter: Implications for C-saturation of soils. Plant and Soil, 238(1–2), 59–76. doi:10.1023/A:1018045019093
  8. Bareau, I., Callewaert, G., & Cornelis, G. (2018). pH buffering capacity of biochar and its effect on the bioavailability of metals in soil. Environmental Sciences Europe, 30(1), Article 10. doi:10.1186/s12302-018-0137-6
  9. Uchimiya, M., Lima, I. M., Klasson, K. T., & Wartelle, L. H. (2010). Contaminant immobilization and nutrient release by char for environmental applications. Chemosphere, 80(8), 935–940. doi:10.1016/j.chemosphere.2010.05.020
  10. Zhu, J., & Holthausen, M. M. (2020). The effect of biochar on soil microbial communities and their function: A meta-analysis. European Journal of Soil Biology, 100, Article 103256. doi:10.1016/j.ejsobi.2020.103256
  11. Qu, W., & Wang, W. (2016). Biochar and soil ferrous/manganese oxide transformations and the effect on metal immobilization. Journal of Environmental Management, 171, 87–95. doi:10.1016/j.jenvman.2015.12.013
  12. O'Carroll, D., Sleep, B., Krol, M., Boparai, H., & Kocur, C. (2013). Nanoscale zero valent iron and bimetallic particles for contaminated site remediation. Advances in Water Resources, 51, 104–122. doi:10.1016/j.advwatres.2012.02.005
  13. Lehmann, J., & Joseph, S. (Eds.). (2015). Biochar for Environmental Management: Science, Technology and Implementation (2nd ed.). Routledge. doi:10.4324/9781316438530
  14. Tiwari, J., Ma, Y., & Bauddh, K. (2022). Arbuscular mycorrhizal fungi: An ecological accelerator of phytoremediation of metal contaminated soils. Archives of Agronomy and Soil Science, 68(3), 283–296. doi:10.1080/03650340.2020.1829599
  15. Salvalaio, M., Oliver, N., Tiknaz, D., Schwarze, M., Kral, N., Kim, S.-J., & Sena, G. (2022). Root electrotropism in Arabidopsis does not depend on auxin distribution but requires cytokinin biosynthesis. Plant Physiology, 188(3), 1604–1616. doi:10.1093/plphys/kiab587
  16. Zhao, Y., Gao, Y., Mao, J., Wang, Z., & Xu, Z. (2021). Wearable and implantable sensors for plant health monitoring. ACS Sensors, 6(5), 1735–1748. doi:10.1021/acssensors.1c00280
  17. Bolt, G. H., & Bruggenwert, B. M. G. M. (2002). Soil Chemistry: A. Basic Elements (2nd ed.). Elsevier.
  18. Saxton, K. E., & Rawls, W. J. (2006). Soil water characteristic estimation by machine learning. Soil Science Society of America Journal, 70(4), 1032–1040. doi:10.2136/sssaj2005.04.0239
  19. Millington, R. J., & Quirk, J. P. (1965). Permeability of porous media. Nature, 206(4980), 479–480. doi:10.1038/205479a0
  20. Karpatne, A., et al. (2019). Towards a universal model for the prediction of soil properties. Proceedings of the 25th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, 1347–1357. doi:10.1145/3292500.3330669
  21. Goh, K. H., Lim, T. T., & Dong, Z. (2008). Application of layered double hydroxides for removal of oxyanions: A review. Water Research, 42(6–7), 1343–1368. doi:10.1016/j.watres.2007.10.043
  22. LoRa Alliance. (2023). LoRaWAN Specification Document (LoRaWAN 1.0.4 / 1.1). LoRa Alliance. Open specification
  23. IPCC. (2019). 2019 Refinement to the 2006 IPCC Guidelines for National Greenhouse Gas Inventories. Intergovernmental Panel on Climate Change, Geneva.
  24. Sanderman, J., Joerg, S. E., Havlin, J. S., Socolar, J., Elbert, S. L., & Glaser, B. (2017). A climate debt of 12,000 years. Science Advances, 3(10), eaa1348. doi:10.1126/sciadv.aa1348
  25. Hernandez-Orallo, J. H., & Fernbach, C. (2019). The Measure of Minds: Evaluating the Cognitive Capabilities of Machine Learning Models. Cambridge University Press. doi:10.1017/9781108608809

Note on reference scope. This bibliography is a curated, representative evidence base sized for a proposal document rather than an exhaustive systematic review. Entry 29 is an open technical specification rather than a peer-reviewed source; it is included because LoRaWAN topology and node power budgets determine the feasibility of the telemetry mesh. Full retrieval will be completed under a systematic search protocol (databases, date range, inclusion and exclusion criteria) at programme commencement, and that protocol will be pre-registered. Note that the two entries supporting H6 (25, 26) document genuine electrotropic and plant-sensing phenomena at field strengths orders of magnitude above the sub-Faradaic regime; they are cited in support of the programme's position that H6 is not established, not in support of it.