BOUNDEDNESS ATLASTHE MURRAY RESEARCH PROGRAMME
Imagined conservatory with floating botanical islands

The prediction field book

Good ideas
risk being wrong.

Open the wagers. Inspect the assumptions. Find the observation that would change the answer.

What would settle it?

Explore 41 research families and 41 original numbered items extracted from five prediction lists. They overlap: they are not 82 independent discoveries. Mathematical gates, retrospective explanations, proposed experiments and open biological predictions keep their different status.

82 records

AI-1 / AI / Research family

H1: useful certification

Open engineering hypothesis
The test
Compare proposer-plus-kernel with strong retrieval, tool-use and fail-closed systems on one frozen, versioned workload. Match evidence access and report coverage, assertion errors, external falsity, binding and trusted-core cost.
What agreement would support
An auditable authority path supplies useful performance within that jurisdiction. It is more than abstaining from everything.
Failure or limitation
Inferior useful coverage at comparable cost fails this implementation/workload claim. It does not refute every possible small-kernel architecture.
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AI-2 / AI / Research family

H2: proposer-size saturation

Open engineering hypothesis
The test
Cross several proposer capacities with the same evidence, binder, verifier, workloads and resource accounting; predefine a practical saturation margin.
What agreement would support
For this workload, generating certifiable proposals needs less model capacity than the comparator. Total cost must include evidence and maintenance.
Failure or limitation
Material continued gains over the declared size range reject the tested saturation claim; certification can remain useful.
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AI-3 / AI / Research family

Memory that preserves future task distinctions

Finite counterexample established; utility untested
The test
Test summary compression with new queries sensitive to versions, entities, permissions and unresolved commitments; compare strong retrieval and structured-memory baselines.
What agreement would support
The retained representation better supports the declared future task family per unit of storage or cost.
Failure or limitation
No gain or failures on held-out queries narrow the memory contract; a single demonstration is not a general state verifier.
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AI-4 / AI / Research family

Recursive action-sufficient state

New proposed research problem, extending the static result
The test
Construct finite action codes and test whether updates can be computed from code, admitted action and observed record alone; compare existing abstraction and partially observed-control methods.
What agreement would support
A compact action code can support repeated operation, rather than only one static selection.
Failure or limitation
Inconsistent successor codes show the compression needs refinement or history. A smaller static cover does not establish a smaller recursive controller.
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BIO-1 / Biology / Research family

Matched-present state failure and recovery

Prospective endogenous-biological test; synthetic and designed examples available
The test
Match histories on a frozen measurement, apply common futures, bound matching error and discrepancy, then test an augmented representation on untouched histories and batches.
What agreement would support
The original representation loses useful predictive information and the tested addition recovers some or all of the declared predictive scope.
Failure or limitation
Equivalence supports adequacy within the panel; unresolved data do not. Failure of augmentation rejects that proposed repair.
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BIO-2 / Biology / Research family

A physical carrier of the retained distinction

Prospective causal test
The test
Use lineage-linked state/outcome data and an independently characterized intervention on a candidate carrier, with target engagement, off-target and controller-writing controls.
What agreement would support
Evidence supports a causal contribution of the candidate carrier within the intervention assumptions.
Failure or limitation
Predictive gain without selective causal evidence supports a marker, not necessarily the claimed memory mechanism.
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BIO-3 / Biology / Research family

Holding effort, reserve and release

New proposed identifiability and assay problem from the programme backlog
The test
Specify a balance model and actual actuator. Determine which calibrated challenges distinguish production, consumption, maximum capacity and controller response. A holding flux alone measures only net imbalance.
What agreement would support
A minimally sufficient probe panel exposes reserve information beyond the steady concentration and net holding effort.
Failure or limitation
Observationally equivalent mechanisms require more measurements or a narrower claim; a named reserve score is not a solution by itself.
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BIO-4 / Biology / Research family

Restoration after support ends

Prospective operational test
The test
Measure future-response equivalence and persistence after a defined withdrawal and rechallenge; distinguish temporary compensation from recovered capacity.
What agreement would support
Recovery is supported for specified futures, duration and disturbances after removal of the named support.
Failure or limitation
Restored snapshots with failed rechallenge do not establish restoration; success under one support policy need not transfer.
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ACT-1 / Action / Research family

Action-relevant distinctions

Exact finite characterization; empirical action library absent
The test
Estimate a finite state-action success table with simultaneous bounds; test common-action intersections including higher-order conflicts, then evaluate a frozen code on held-out units.
What agreement would support
The measured distinction changes acceptable choices, or demonstrates that a cheaper common action suffices.
Failure or limitation
An empty conservative confidence-set intersection is failure to certify, not proof that no acceptable action exists.
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ACT-2 / Action / Research family

Safe diagnosis before rescue closes

Prospective complete-policy test
The test
Compare diagnostic-and-action policies including their delay, measurement disturbance and outcome risk. Use the one-shot total-variation bound only under its stated non-disturbing assumptions.
What agreement would support
Obtaining a particular distinction improves operational recovery before the opportunity expires.
Failure or limitation
Prediction without net policy benefit does not justify the diagnostic. One failed diagnostic does not prove all safe diagnosis impossible.
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REDOX-1 / Redox / Research family

Finite-section fold passage

Conditional mathematical law; biological hypothesis unvalidated
The test
Pilot-calibrate the depth axis, then freeze rescue, finite-section family and observation model. Compare fold, cumulative-exposure, fixed-power and hazard models on held-out forcing depths with the same likelihood.
What agreement would support
The constrained passage family predicts an operation-specific recoverability boundary and durable fate in the tested regime.
Failure or limitation
Failure rejects that operational fold model; asymmetric sections need not have a monotone exponent profile, and population T50 is not automatically deterministic passage.

Research interpretation only. This is not a validated clinical decision rule or treatment instruction.

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REDOX-2 / Redox / Research family

Supply-limited oxidative collapse

Model calibrated from literature; broader transport unvalidated
The test
Independently measure supply, demand and regeneration parameters, predict new challenge thresholds and test the threshold ordering without fitting the target outcomes.
What agreement would support
The calibrated capacity-versus-demand model predicts a new system or preparation.
Failure or limitation
Incorrect thresholds within a calibrated regime reject that model/transport; known contraindication recovery alone is not prospective validation.

Research interpretation only. This is not a validated clinical decision rule or treatment instruction.

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REDOX-3 / Redox / Research family

Reductive fade and the surveillance bridge

Mechanistic extrapolation and conditional oncology forecast
The test
Measure the proposed flux-to-surveillance mapping in the relevant cell type, with tumour and normal-system endpoints; establish whether the proposed biomarker reflects the needed quantity.
What agreement would support
A directly calibrated bridge supports the proposed surveillance mechanism and motivates testing downstream outcome forecasts.
Failure or limitation
A different mapping or systemic/tumour conflict weakens the forecast; a clinical hazard-ratio magnitude is not validated by the existing model.

Research interpretation only. This is not a validated clinical decision rule or treatment instruction.

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REG-1 / Regulation / Research family

P13: controller bandwidth versus load reduction

Prospective role-specific intervention prediction
The test
First demonstrate kinetic-mismatch failure; independently quantify whether an intervention changes controller speed rather than simply its setpoint/capacity. Compare matched load reduction on a declared outcome.
What agreement would support
Changing the measured control timescale improves the relevant pulse-stress outcome beyond the comparator.
Failure or limitation
No differential benefit after verified target engagement rejects the tested P13 instance; faster or more abundant NRF2 are not interchangeable measurements.

Research interpretation only. This is not a validated clinical decision rule or treatment instruction.

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REG-2 / Regulation / Research family

P14: pinning versus surveillance failure

Prospective diagnostic and prevalence hypotheses
The test
Measure capacity response to a controlled signal perturbation in appropriately stratified systems. Test the proposed pinned signature and the separate claim that it predominates.
What agreement would support
Response dynamics distinguish an upstream pinned controller from the competing surveillance explanation.
Failure or limitation
Normal capacity responsiveness in the claimed pinned class rejects that classification or prevalence claim; population correlations alone can mislead.

Research interpretation only. This is not a validated clinical decision rule or treatment instruction.

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REG-3 / Regulation / Research family

P15–P17: sensing versus calibration

Prospective; calibration and selective interventions not established
The test
Characterize compartmental measurements, sensor-restoration and controller-targeted interventions independently; test a locked response signature and any proposed fitness/setpoint relation.
What agreement would support
Different faults that yield similar visible readouts are separated by verified intervention responses.
Failure or limitation
An ineffective senolytic alone cannot prove controller miscalibration: inadequate engagement, another fault or irreversible damage remain alternatives.

Research interpretation only. This is not a validated clinical decision rule or treatment instruction.

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HORM-1 / Hormesis / Research family

Biphasic shape, peak location and width

Conditional model; retrospective support; quantitative prospective tests remain
The test
Measure activation, damage and capacity independently in one system; predict untouched full curves and check location, width and amplitude separately.
What agreement would support
Mechanistic parameters predict the conditional adaptive curve without fitting those outcome curves.
Failure or limitation
Incorrect predictions reject the specified adaptive model or approximation, not the existence of hormesis. The approximate 2× activation-dose peak is not universal.
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HORM-2 / Hormesis / Research family

Control-weighted molecular-to-functional transmission

First-order model and prospective same-system test
The test
Measure control coefficients and elasticities, then predict transmitted adaptation. Include mixed-sign targets and shared bottlenecks; test finite-induction approximation error.
What agreement would support
Control-weighted induction outperforms molecular abundance or target count as an amplitude predictor.
Failure or limitation
Failure within the valid perturbative regime rejects the proposed transmission application; a local coefficient cannot automatically predict a large finite change.
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HORM-3 / Hormesis / Research family

Conditional baseline compression

Prospective small-perturbation coordinate prediction
The test
Hold network transmission and induction approximately fixed while varying baseline. Test the stated amplitude ratio based on 1−x0² against alternatives.
What agreement would support
The bounded-observation factor predicts baseline-dependent attenuation within the controlled regime.
Failure or limitation
A baseline shift that also changes network control is confounded; a valid controlled failure rejects the tested observation model.
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HORM-4 / Hormesis / Research family

Acute–chronic amplitude split

Prospective; overlaps extension P5 and architecture P11
The test
Declare matched exposure, endpoint and timescales; measure controller response and compare a frozen acute–chronic contrast with a system-justified margin.
What agreement would support
The predicted timing-dependent adaptive response is supported in that system.
Failure or limitation
Adequately resolved equivalence or opposite direction rejects the scoped contrast; overlapping papers are one prediction family.
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HORM-5 / Hormesis / Research family

Adaptation as improved later capability

New integrative experimental proposal
The test
After conditioning and withdrawal, test whether predicted adaptation improves an independent later challenge outcome and how reserve changes the beneficial/harmful boundary.
What agreement would support
A transient adaptive signal predicts a lasting, task-specific gain in capacity.
Failure or limitation
A higher acute endpoint without later benefit does not establish durable adaptive improvement.
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RAD-1 / Radiation / Research family

Reversal and state recovery

Exact order-blind null; independent published order effects; recovery prospective
The test
Qualify timing and an endpoint-specific reversed pair. After a resolved split, link prechallenge state and future outcome in the same inferential unit and test held-out recovery.
What agreement would support
A biological representation improves on equal BED for that endpoint and preparation.
Failure or limitation
No resolved split can be equivalence or insufficient precision; a split alone does not identify dimension or mechanism.
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RAD-2 / Radiation / Research family

Gap spectroscopy versus quadratic degeneracy

Conditional theorem; experimental implication unvalidated
The test
Use a qualified gap ladder and multiple priming strengths, with recovery/heterogeneity controls, to test waiting-semigroup closure. More challenge amplitudes alone can be uninformative in the quadratic branch.
What agreement would support
Gap response exposes predictive recovery modes hidden by an acute curve.
Failure or limitation
Failure of a scalar waiting model demands a revised recovery representation; it is not automatic evidence for a named molecular mechanism.
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GEOM-1 / Geometry / Research family

Projective observation fingerprint

Conditional classical structure; synthetic test; prospective physical branch
The test
Earn an adequate state and deterministic point-map regime, then test cross-ratios on held-out separated quadruples. Independently examine any proposed physical homogeneous channels.
What agreement would support
The tested operation admits the projective description; a physical lift needs separate evidence.
Failure or limitation
Cross-ratio failure rejects the tested one-dimensional projective branch, not the broader state-discovery programme.
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GEOM-2 / Geometry / Research family

Flat/curved defect classification

Axiom-conditional mathematics and synthetic tomography
The test
Independently review the full proof and query an admitted composition oracle across radius shells; control angle noise and test the stated defect assumptions.
What agreement would support
A particular system occupies the classified branch with an estimated geometric parameter.
Failure or limitation
An out-of-class defect rejects applying the classification; it does not justify a universal boundedness geometry.
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PHARM-1 / Pharmacology / Research family

Mechanism-selected combination baselines

Exact scoped formulas; assay identification remains empirical
The test
Use correct single-agent doses and prespecified mechanisms, including the common-shape n=1 contrast if appropriate; compare with full specialist null models under the actual noise model.
What agreement would support
A specific lawful reference improves combination interpretation and experimental discrimination.
Failure or limitation
The maximal raw gap near 0.618 is not a universal information optimum; a failed reference may require another scalar model rather than hidden state.
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PHARM-2 / Pharmacology / Research family

Aluminium/SOD chemical testbed

Conditional chemical model
The test
Establish chemical speciation, relevant competition kinetics, compartment and exposure before predicting unused interventions.
What agreement would support
The named chemical/compositional model predicts that assay.
Failure or limitation
Failure rejects the chemical model in scope; it does not refute the classical additive-generator representation theorem.
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NUM-1 / Number theory / Research family

Frozen prime gap-word prediction

Exact identities plus finite computations; probability assumptions explicit
The test
Independent implementation/enumeration on untouched intervals; preserve positivity/consistency assumptions, covariance and numerical error; compare established prime heuristics and fitted controls.
What agreement would support
The finite predictor transports beyond its construction interval and implementation.
Failure or limitation
Systematic residuals reject the tested approximation or finite predictor; large in-sample R² is not an asymptotic theorem.
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NUM-2 / Number theory / Research family

Resolution versus residual floor

Alternative hypotheses, not two predictions expected to hold together
The test
Compare sparse-aware lifted models across feasible wheels, higher-order contexts and held-out scales.
What agreement would support
Either closure or a persistent resolved finite-scale residual locates what the current representation misses.
Failure or limitation
Sparse high-resolution fits cannot establish a positive floor; finite stabilization does not prove an asymptotic limit.
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ECO-1 / Ecology / Research family

Currents invisible to abundance histograms

Conditional non-identifiability; field diagnostic needs validation
The test
Use labelled temporal community data and held-out prediction; control environmental forcing, nonstationarity, multiplicative noise, exchangeable dynamics and extinctions.
What agreement would support
Temporal structure supplies information absent from the stationary abundance distribution.
Failure or limitation
Irreversibility alone is not unique evidence of species-specific niche dynamics; lack of power is unresolved.
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GEN-1 / Genetics / Research family

Sample the dominance-sensitive trajectory region

Exact coefficient result and simulations
The test
Compare boundary-local and wider-frequency designs using realistic drift-aware inference, equal acquisition budgets and observed response magnitude.
What agreement would support
The theory identifies a practically better sampling design for separating selection strength and dominance.
Failure or limitation
No practical gain in the tested regime limits the design claim; algebraic identifiability alone is not finite-data accuracy.
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COG-1 / Intelligence / Research family

Covariance versus intervention-response rank

Model-specific theorem and simulations; no decisive transfer dataset
The test
Acquire a randomized multi-intervention/task transfer matrix with target engagement, task-specific channels, duration and signal-to-noise controls.
What agreement would support
The intervention family exposes multiple accessible response directions despite a low-dimensional descriptive factor.
Failure or limitation
A failed indirect training intervention does not disprove an inaccessible common cause; rank is design- and timescale-relative.
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ENERGY-1 / Bioenergetics / Research family

c-ring constraint binding versus slack

Hypothesis and retrospective-analysis framework
The test
Use engineered/within-lineage comparisons with independently bounded environmental demand and losses; test the demand-by-coupling interaction.
What agreement would support
Coupling contributes more predictively near a demonstrated energetic boundary.
Failure or limitation
Confounding by phylogeny, unbounded losses or no interaction weakens the proposed explanation.
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EXO-1 / Exoplanets / Research family

A discriminating multi-face retention boundary

Current data do not identify exponent/mechanism; extension proposed
The test
Add a coefficient-locked competing loss face, independent masses and suitable exposure/age information; compare forward models and negative controls.
What agreement would support
Data begin separating physical retention models rather than merely permitting a constrained classifier.
Failure or limitation
Equivalent fits among many coefficients remain non-identification; fitting the valley is not identifying its cause.
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IDA-1 / IDA / Research family

Return dynamics add predictive information

Offline implementation; prospective real-signal test
The test
Predict an independent later outcome from frozen return features; compare static features, dynamic history baselines and matched feature counts with person/session holdouts.
What agreement would support
Return dynamics earn a role in measuring the declared recovery task.
Failure or limitation
No incremental value rejects the tested read-side input; prediction of a score defined from those same features is circular.
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IDA-2 / IDA / Research family

Adaptive feedback earns a control advantage

Prospective intervention hypothesis
The test
After input validation, compare capped adaptive feedback with appropriately matched open-loop/replay, sham and well-tuned conventional feedback; measure independent outcome and exposure.
What agreement would support
The measured return state improves a complete control policy, then durability and transport can be tested.
Failure or limitation
No advantage rejects this controller implementation/task claim even if the metrics remain useful.
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TAO-1 / Interfaces / Research family

Bounded adaptive-world contracts

Synthetic controller validation; live estimation/benefit unvalidated
The test
Validate state estimation and actuator meaning, then compare boundary recovery and user-relevant outcomes with strong bounded controllers at matched tuning effort.
What agreement would support
Typed interfaces improve a real adaptive environment within a stated contract.
Failure or limitation
No benefit beyond ordinary constraints or unreliable state estimation limits the practical architecture.
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NEURO-1 / Belief / Research family

Gamma bridge and dyadic sinh coupling

Separate postulated physiological and coupling hypotheses
The test
Test the single-agent bridge against behavioural belief measures and artefacts first; if supported, compare independently calibrated dyadic sinh, linear, polynomial and saturating alternatives.
What agreement would support
The particular neural/interaction bridge gains support; the coordinate result itself does not establish it.
Failure or limitation
Bridge failure blocks the EEG interpretation; coupling failure rejects that potential without invalidating Bayesian log-odds.
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RECOVERY-1 / Recovery / Research family

Capture–policy–host ordering

Hypothesis; no new empirical outcomes
The test
Predefine capture before outcomes; use blinded coding and prospective temporal sampling with treatment, common-driver, delayed-feedback and non-recovery controls.
What agreement would support
The specified threshold-local sequence adds predictive explanation beyond the alternatives.
Failure or limitation
Retrospective narratives or generic support effects do not validate the ordering; no clinical efficacy or belief-based cure follows.

Research interpretation only. This is not a validated clinical decision rule or treatment instruction.

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ARCHIVE-1 / Measurement / Research family

Quantum archive channel history

Fixed-archive reanalysis; new archive/physical-time validation absent
The test
Acquire timestamps and calibration/batching metadata and fit full-count models on independent archives; compare drift, heterogeneity and exchangeability explanations.
What agreement would support
The archive needs a richer channel-state representation for the intended inference.
Failure or limitation
A job-index residual is not a physical time constant, Born-rule anomaly or evidence of microscopic memory.
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EVIDENCE-1 / Evidence / Research family

Match the evidence to the imposed intervention

Review and normative argument; not a natural-law prediction
The test
Maintain an up-to-date comparison of the actual coercive intervention with supported voluntary care and patient-centred outcomes; keep the ethical premise explicit.
What agreement would support
Direct evidence can address the incremental intervention that requires justification.
Failure or limitation
Evidence about drug efficacy alone does not settle the effect of legal force. This synthesis supplies no new treatment or policy outcome.

Research interpretation only. This is not a validated clinical decision rule or treatment instruction.

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HORM-P1 / Hormesis / Original numbered prediction

Peak location near twice activation dose

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
A resolved contradiction of the stated model prediction in its admitted regime; a noisy null result is unresolved.

Opposing-channel model can be useful; statements that Aczel selects artanh are too strong; current-05 theorem needs explicit slopes/crossing.

Read the original prediction
Prediction 1: For any substance showing hormesis, the peak dose should correlate with the independently measured repair activation EC50, with a proportionality constant of approximately 2.
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HORM-P2 / Hormesis / Original numbered prediction

Zone width and activation/toxicity separation

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
A resolved contradiction of the stated model prediction in its admitted regime; a noisy null result is unresolved.

Opposing-channel model can be useful; statements that Aczel selects artanh are too strong; current-05 theorem needs explicit slopes/crossing.

Read the original prediction
Prediction 2: The zone width should scale approximately with the ratio Dt/Da.
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HORM-P3 / Hormesis / Original numbered prediction

Peak amplitude from functional capacity

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
A resolved contradiction of the stated model prediction in its admitted regime; a noisy null result is unresolved.

Opposing-channel model can be useful; statements that Aczel selects artanh are too strong; current-05 theorem needs explicit slopes/crossing.

Read the original prediction
Prediction 3: The peak amplitude is determined by the functional repair capacity Amax,func = Amax,mol / η, not by the molecular fold-change alone.
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HORM-P4 / Hormesis / Original numbered prediction

Repair capacity and zone width

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
A resolved contradiction of the stated model prediction in its admitted regime; a noisy null result is unresolved.

Opposing-channel model can be useful; statements that Aczel selects artanh are too strong; current-05 theorem needs explicit slopes/crossing.

Read the original prediction
Prediction 4: Cell types with higher Amax,func should show wider hormetic zones. Testable by comparing NRF2-competent versus NRF2-knockout cells, or young versus aged cells.
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HORM-P5 / Hormesis / Original numbered prediction

Pathway-dependent attenuation

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
A resolved contradiction of the stated model prediction in its admitted regime; a noisy null result is unresolved.

Opposing-channel model can be useful; statements that Aczel selects artanh are too strong; current-05 theorem needs explicit slopes/crossing.

Read the original prediction
Prediction 5: The ratio η = Amax,mol / Amax,func is determined by the architecture of the protective pathway, not by the stressor. Specifically, η ≈ n for linear pathways with n rate-limiting steps, and η < n for multi- target effectors acting on m survival nodes (where the effective η ≈ n/m). This is testable by independently measuring both molecular upregulation and functional protection in the same system. The prediction distinguishes between linear-pathway agents (η ≈ 2–3, peak amplitude 130–160%) and multi- target agents (η ≈ 1.3–1.5, peak amplitude 170–200%+). [PDF page 9]
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MCA-P1 / Hormesis / Original numbered prediction

P1 — Response-coefficient stratification

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsified if high-ΣCε curves do not exceed low-ΣCε curves in matched systems.

Response coefficient sumC_i*epsilon_i is first-order; n/m attenuation needs comparable co-directional targets.

Read the original prediction
P1 — Response-coefficient stratification. Curves with larger positive ΣCε should show larger adaptive-arm amplitude than curves with smaller or mixed-sign ΣCε, after adjusting for baseline (P6) and timescale (P5). Falsified if high-ΣCε curves do not exceed low-ΣCε curves in matched systems.
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MCA-P2 / Hormesis / Original numbered prediction

P2 — Elasticity-conditional multi-target advantage

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsified if target count predicts amplitude even when measured elasticities are near zero or mixed-sign.

Response coefficient sumC_i*epsilon_i is first-order; n/m attenuation needs comparable co-directional targets.

Read the original prediction
P2 — Elasticity-conditional multi-target advantage. Multi-target effectors should exceed a matched single-target comparator only when R_multi > R_single, i.e. when target elasticities are appreciable and co-directional. Falsified if target count predicts amplitude even when measured elasticities are near zero or mixed-sign.
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MCA-P3 / Hormesis / Original numbered prediction

P3 — Mixed-sign cancellation

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsified if mixed-sign architecture is indistinguishable from co-directional architecture in matched systems.

Response coefficient sumC_i*epsilon_i is first-order; n/m attenuation needs comparable co-directional targets.

Read the original prediction
P3 — Mixed-sign cancellation. Agents acting on both adaptive and anti-adaptive targets should show reduced, broadened, or unstable peaks relative to co-directional agents. Falsified if mixed-sign architecture is indistinguishable from co-directional architecture in matched systems.
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MCA-P4 / Hormesis / Original numbered prediction

P4 — Control redistribution at shared bottlenecks

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsified if independently measured Cᵢ match naive additive estimates despite a demonstrated shared bottleneck.

Response coefficient sumC_i*epsilon_i is first-order; n/m attenuation needs comparable co-directional targets.

Read the original prediction
P4 — Control redistribution at shared bottlenecks. Where putative parallel targets converge on a shared saturated step or pool, the measured full-network control coefficients should be small, redistributed, or sign-changed relative to naive per-site estimates. Falsified if independently measured Cᵢ match naive additive estimates despite a demonstrated shared bottleneck.
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MCA-P5 / Hormesis / Original numbered prediction

P5 — Acute–chronic split

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsified if the pre-registered metric does not differ by at least a system-justified minimal effect (for example, chronic amplitude ≤ 0.8× acute amplitude at matched dose) across timescales with matched architecture.

Response coefficient sumC_i*epsilon_i is first-order; n/m attenuation needs comparable co-directional targets.

Read the original prediction
P5 — Acute–chronic split. For matched architecture, the adaptive-arm amplitude should be larger in acute exposures that preserve the transient and smaller in chronic exposures that permit controller re-centring. To be falsifiable this must be made quantitative per system: specify whether the contrast is peak height at fixed dose, area under the stimulatory region, or peak-to- baseline ratio, and pre-register the metric. Falsified if the pre-registered metric does not differ by at least a system-justified minimal effect (for example, chronic amplitude ≤ 0.8× acute amplitude at matched dose) across timescales with matched architecture.
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MCA-P6 / Hormesis / Original numbered prediction

P6 — Baseline-scaling prediction (conditional, parameter-free)

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsified if observed amplitude does not scale with (1 − x₀²) after controlling for molecular induction and network class. This prediction is parameter-free only if the network response coefficient ΣCε and the molecular induction are held approximately fixed as baseline varies; it is therefore most cleanly testable where baseline is changed by an external parameter that does not rewire the network (for example mild temperature shifts without adaptation, or different initial densities), and a negative result where the baseline shift itself alters the Cᵢ or εᵢ (as ageing may) would not bear on the bounded-observable factor. Because it is a coordinate-level prediction and not a claim about hyperbolic dynamics, it is the cleanest available test of the bounded-coordinate layer.

Response coefficient sumC_i*epsilon_i is first-order; n/m attenuation needs comparable co-directional targets.

Read the original prediction
P6 — Baseline-scaling prediction (conditional, parameter-free). This is the one prediction that requires no measurement of C or ε. Holding the effector, dose, and network fixed and varying only the baseline x₀, the observed adaptive amplitude should scale as (1 − x₀²). For two baseline states, the ratio of observed amplitudes should equal (1 − x₀,₁²)/(1 − x₀,₂²), with no free parameters. This is directly testable by re-analysing existing data stratified by baseline — for example the same hormetic agent and dose applied to young versus aged, or unstressed versus mildly preconditioned, systems. Falsified if observed amplitude does not scale with (1 − x₀²) after controlling for molecular induction and network class. This prediction is parameter-free only if the network response coefficient ΣCε and the molecular induction are held approximately fixed as baseline varies; it is therefore most cleanly testable where baseline is changed by an external parameter that does not rewire the network (for example mild temperature shifts without adaptation, or different initial densities), and a negative result where the baseline shift itself alters the Cᵢ or εᵢ (as ageing may) would not bear on the bounded-observable factor. Because it is a coordinate-level prediction and not a claim about hyperbolic dynamics, it is the cleanest available test of the bounded-coordinate layer.
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BAS-P1 / Regulation / Original numbered prediction

P1 (Corollary 1, Hormesis)

Paper reclassification or conditional extension
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsification of the qualitative claim: a substantial class of bounded adaptive systems showing monotonic rather than biphasic dose-responses without an identifiable confound, or biphasic curves whose arms do not segregate by Mode 1 / Mode 2 typing.

Four-role exhaustion applies to declared topology; a failed policy is not nonexistence of viable policies.

Read the original prediction
P1 (Corollary 1, Hormesis). Bounded adaptive systems should display biphasic dose- responses (inverted-U) with arms of distinct architectural type — Mode 1 on the high-β arm and Mode 2 on the low-β arm — derivable in closed form from A1–A4. The qualitative claim is that the U-shape exists and its arms map structurally onto different failure modes. The canonical Calabrese database reports peak stimulation typically 30–60% above control Page 43 of 213 Dose Response [PDF page 45] with zone widths of 5–50× threshold separation [1,2]; specific quantitative amplitudes for strongly-bounded adaptive subclasses are derived in [20]. Falsification of the qualitative claim: a substantial class of bounded adaptive systems showing monotonic rather than biphasic dose-responses without an identifiable confound, or biphasic curves whose arms do not segregate by Mode 1 / Mode 2 typing.
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BAS-P2 / Regulation / Original numbered prediction

P2 (Corollary 2, Antioxidant paradox)

Paper reclassification or conditional extension
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsification: a well-powered baseline-stratified meta-analysis showing concordant signs across strata, or a stratum-difference smaller than the average effect.

Four-role exhaustion applies to declared topology; a failed policy is not nonexistence of viable policies.

Read the original prediction
P2 (Corollary 2, Antioxidant paradox). Baseline-V stratification of antioxidant cancer- prevention RCTs should show opposite-signed effects in deficient versus chronically- supplemented strata, with the strata-difference exceeding the population-average effect in absolute magnitude. Falsification: a well-powered baseline-stratified meta-analysis showing concordant signs across strata, or a stratum-difference smaller than the average effect.
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BAS-P3 / Regulation / Original numbered prediction

P3 (Corollary 3, Reductive cardiomyopathy as Mode 4b → Mode 2)

Paper reclassification or conditional extension
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsification: a high-V tissue with intact proteostatic surveillance firing at dose-proportional rate, or a tissue in which V-lowering rescues damage even when V_ctrl pinning is left intact.

Four-role exhaustion applies to declared topology; a failed policy is not nonexistence of viable policies.

Read the original prediction
P3 (Corollary 3, Reductive cardiomyopathy as Mode 4b → Mode 2). In any tissue with chronically-elevated V from a Mode 4b-high mechanism (genetic, exposure, or pharmacological origin producing dV_set/dΦ ≈ 0 at the operating Φ), proteostatic surveillance should fire below dose-proportional baseline, and unpinning V_ctrl (not merely lowering V by other means) should rescue. Falsification: a high-V tissue with intact proteostatic surveillance firing at dose-proportional rate, or a tissue in which V-lowering rescues damage even when V_ctrl pinning is left intact.
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BAS-P4 / Regulation / Original numbered prediction

P4 (Corollary 4, Exercise blockade)

Paper reclassification or conditional extension
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsification: a bounded-stress training intervention in which equivalently-dosed antioxidant supplementation does not blunt the adaptive readout.

Four-role exhaustion applies to declared topology; a failed policy is not nonexistence of viable policies.

Read the original prediction
P4 (Corollary 4, Exercise blockade). High-dose antioxidant supplementation should block adaptive readouts of any low-amplitude bounded stress (not just exercise — e.g. mild hypoxia training, intermittent fasting, cold exposure). Falsification: a bounded-stress training intervention in which equivalently-dosed antioxidant supplementation does not blunt the adaptive readout.
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BAS-P5 / Regulation / Original numbered prediction

P5 (Corollary 5, NRF2 in KEAP1-mutant NSCLC + NAC)

Paper reclassification or conditional extension
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsification: any of the four conditions failing. The framework’s commitment is to the analysis-specification thresholds; the author has no role in trial execution, sponsorship, or registration. The framework predicts what the analysis would show in any properly-stratified Phase II of this design.

Four-role exhaustion applies to declared topology; a failed policy is not nonexistence of viable policies.

Read the original prediction
P5 (Corollary 5, NRF2 in KEAP1-mutant NSCLC + NAC). Stated analysis specification for any future Phase II of this design, presented in [16, §5.4]: in a Phase II RCT of NAC + platinum chemotherapy in NSCLC, the NRF2-active stratum (KEAP1-mutant or NRF2-IHC- high) should show progression HR 1.20–2.00 versus control, the NRF2-low stratum HR < 1.20, and a selectivity ratio ≥ 1.30. Plasma 8-oxo-dG should fall in the NRF2-active arm without rising in the NRF2-low arm. Falsification: any of the four conditions failing. The framework’s commitment is to the analysis-specification thresholds; the author has no role in trial execution, sponsorship, or registration. The framework predicts what the analysis would show in any properly-stratified Phase II of this design.
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BAS-P6 / Regulation / Original numbered prediction

P6 (Corollary 6, Mode 3 with downstream controller-action consequence)

Paper reclassification or conditional extension
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsification: any of the three populations showing concordant compartmental and cytosolic biomarkers. Joint with P17: the V-Φ relation in these populations should normalise on senolytic / 𝒞-fidelity-restoration intervention without requiring V_set,actual change — confirming Mode 3 as the structural fault. Persistent V-Φ dissociation after such intervention would re-locate the fault as genuine Mode 4c. Page 44 of 213 Dose Response

Four-role exhaustion applies to declared topology; a failed policy is not nonexistence of viable policies.

Read the original prediction
P6 (Corollary 6, Mode 3 with downstream controller-action consequence). Compartment-resolved redox biomarkers should diverge from cytosolic-pool biomarkers in (a) ageing tissue with high SASP burden, (b) pseudohypoxic tumours with stable HIF-1α under normoxic O₂, (c) selenium-deficient populations with normal cytosolic GSH. Falsification: any of the three populations showing concordant compartmental and cytosolic biomarkers. Joint with P17: the V-Φ relation in these populations should normalise on senolytic / 𝒞-fidelity-restoration intervention without requiring V_set,actual change — confirming Mode 3 as the structural fault. Persistent V-Φ dissociation after such intervention would re-locate the fault as genuine Mode 4c. Page 44 of 213 Dose Response [PDF page 46]
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BAS-P7 / Regulation / Original numbered prediction

P7 (Structural — sharpened)

Model-class exhaustiveness claim
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsification: a candidate failure mode that produces a biomarker signature distinguishable from all of Mode 1, Mode 2, Mode 3, and Mode 4 (4a/4b/4c) by every combination of the framework’s diagnostic assays — a phenotype which simultaneously (a) shows no β_c crossing, (b) operates with Φ* in Σ’s dose-proportional band, (c) shows no compartment-resolved or noise-broadcast signature of 𝒞_full degradation, and (d) shows V at fitness-aligned setpoint with adequate γ_V·τ_β. Such a phenotype would force the addition of a fifth threshold-type, indicating a finer architectural decomposition.

Four-role exhaustion applies to declared topology; a failed policy is not nonexistence of viable policies.

Read the original prediction
P7 (Structural — sharpened). Any bounded adaptive system satisfying A1–A4 with the canonical four-component decomposition (ℳ_fast, 𝒞, Σ, V_ctrl) should admit at most four threshold-typed failure modes corresponding to its four components. Falsification: a candidate failure mode that produces a biomarker signature distinguishable from all of Mode 1, Mode 2, Mode 3, and Mode 4 (4a/4b/4c) by every combination of the framework’s diagnostic assays — a phenotype which simultaneously (a) shows no β_c crossing, (b) operates with Φ* in Σ’s dose-proportional band, (c) shows no compartment-resolved or noise-broadcast signature of 𝒞_full degradation, and (d) shows V at fitness-aligned setpoint with adequate γ_V·τ_β. Such a phenotype would force the addition of a fifth threshold-type, indicating a finer architectural decomposition.
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BAS-P8 / Regulation / Original numbered prediction

P8 (Optimal V)

Paper reclassification or conditional extension
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsification: a population-scale, tissue-specific dose- response showing monotonic improvement in chronic outcomes with increasing activator dose up to and including V_max-saturating doses, in a tissue with measurable Σ-toe geometry consistent with A4.

Four-role exhaustion applies to declared topology; a failed policy is not nonexistence of viable policies.

Read the original prediction
P8 (Optimal V). Activator pharmacology that drives V toward V_max should produce U- shaped dose-response curves for chronic-prevention outcomes, with a tissue-specific optimum V* strictly less than V_max. Falsification: a population-scale, tissue-specific dose- response showing monotonic improvement in chronic outcomes with increasing activator dose up to and including V_max-saturating doses, in a tissue with measurable Σ-toe geometry consistent with A4.
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BAS-P9 / Regulation / Original numbered prediction

P9 (V-lowering paradox in Mode 2)

Paper reclassification or conditional extension
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsification: a randomised trial of antioxidant restriction or controlled mild pro-oxidant intervention in a verified Mode 4b stratum showing no improvement or harm.

Four-role exhaustion applies to declared topology; a failed policy is not nonexistence of viable policies.

Read the original prediction
P9 (V-lowering paradox in Mode 2). In a population identified as occupying the Mode 4b → Mode 2 region (KEAP1-mutant or NRF2-IHC-high tumours not yet receiving cytotoxic therapy; high-V chronic-supplement-replete cohorts), interventions that reduce V or modestly raise β should improve surveillance-mediated outcomes. Falsification: a randomised trial of antioxidant restriction or controlled mild pro-oxidant intervention in a verified Mode 4b stratum showing no improvement or harm.
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BAS-P10 / Regulation / Original numbered prediction

P10 (Mode 3 precedes and conceals Mode 1 in compartmentally-isolated tissue)

Paper reclassification or conditional extension
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsification: sequential compartment-resolved imaging showing concurrent (rather than temporally-ordered) divergence.

Four-role exhaustion applies to declared topology; a failed policy is not nonexistence of viable policies.

Read the original prediction
P10 (Mode 3 precedes and conceals Mode 1 in compartmentally-isolated tissue). When 𝒞_full is rank-degraded, failing compartments can reach the Mode 1 boundary while standard cytosolic biomarkers remain normal. The framework predicts a temporal sequence: compartment-resolved redox biomarkers diverge (Mode 3 onset) months to years before catastrophic events register on standard panels (Mode 1 onset in the hidden compartment). Falsification: sequential compartment-resolved imaging showing concurrent (rather than temporally-ordered) divergence.
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BAS-P11 / Regulation / Original numbered prediction

P11 (Timescale-stratified hormesis as Mode 4a effect)

Forward hypothesis
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsification: timescale-disaggregated meta-analysis showing identical peaks across timescale.

Four-role exhaustion applies to declared topology; a failed policy is not nonexistence of viable policies.

Read the original prediction
P11 (Timescale-stratified hormesis as Mode 4a effect). The hormetic peak amplitudes of [20] assume acute β-sweeps with γ_V·t_exposure ≪ 1. For chronic dosing at equivalent total β, V_ctrl is in its responsive bandwidth regime (γ_V·τ_β ≫ 1), tracks V_set, and re- centres the operating point near the middle of Σ’s dose-proportional band, attenuating the hormetic peak. The Calabrese database mixes acute and chronic exposures; disaggregating by exposure timescale should reveal robust hormetic peaks for acute exposures and substantially attenuated peaks for chronic exposures of equivalent cumulative dose. Falsification: timescale-disaggregated meta-analysis showing identical peaks across timescale.
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BAS-P12 / Regulation / Original numbered prediction

P12 (Four-term fragility index as ageing biomarker)

Paper reclassification or conditional extension
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsification: matched cohorts with the same F-component scores but divergent total F showing no event-rate divergence over the relevant follow-up window.

Four-role exhaustion applies to declared topology; a failed policy is not nonexistence of viable policies. The printed falsifier is internally problematic: identical component scores cannot give different values of the same deterministic minimum. Operational repair is required.

Read the original prediction
P12 (Four-term fragility index as ageing biomarker). The fragility index F(V, β, Φ, V_ctrl-state; θ) of equation (10) — minimum across Mode 1, 2, 3, 4 distance terms — should track ageing-related risk of redox-coupled clinical events more accurately than any single-compartment biomarker. In paired-cohort studies, individuals matched on standard Page 45 of 213 Dose Response [PDF page 47] biomarkers but differing in F should show divergent event rates. Falsification: matched cohorts with the same F-component scores but divergent total F showing no event-rate divergence over the relevant follow-up window.
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BAS-P13 / Regulation / Original numbered prediction

P13 (Controller bandwidth restoration in Mode 4a)

Forward hypothesis
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsification: a Mode 4a phenotype where γ_V acceleration provides no rescue or where β-reduction alone gives equivalent rescue. This is the Mode 4a-specific intervention prediction; it differs from any prediction the three-component framing would generate, since the three-component framing folds Mode 4a into Mode 1 and proposes only β-reduction.

Four-role exhaustion applies to declared topology; a failed policy is not nonexistence of viable policies.

Read the original prediction
P13 (Controller bandwidth restoration in Mode 4a). In tissue or cell-line systems exhibiting kinetic-mismatch failure (Mode 4a, transient β_c crossings during pulse-train stress with γ_V·τ_β < 1), pharmacological or genetic acceleration of γ_V (e.g., constitutive low-grade KEAP1 inhibition, accelerator agents on NRF2-target enhancer chromatin) should rescue clinical outcomes more effectively than equivalent reductions in time- averaged β. Falsification: a Mode 4a phenotype where γ_V acceleration provides no rescue or where β-reduction alone gives equivalent rescue. This is the Mode 4a-specific intervention prediction; it differs from any prediction the three-component framing would generate, since the three-component framing folds Mode 4a into Mode 1 and proposes only β-reduction.
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BAS-P14 / Regulation / Original numbered prediction

P14 (V-set decoupling diagnostics for Mode 4b)

Forward hypothesis
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsification: a population stratified into chronic Mode 2 in which V varies normally with Φ, indicating no Mode 4b component.

Four-role exhaustion applies to declared topology; a failed policy is not nonexistence of viable policies.

Read the original prediction
P14 (V-set decoupling diagnostics for Mode 4b). In any population of “chronic Mode 2”- presenting individuals, the diagnostic signature distinguishing genuine Σ-failure from Mode 4b → Mode 2 cascade is the V-Φ joint distribution: Mode 4b cases have V locked at V_max regardless of Φ-perturbation (constant V despite varying Φ across individuals or time), while genuine Σ-failure cases have V tracking Φ via V_set with normal slope. The framework predicts that population-scale Mode 2 phenotypes are predominantly Mode 4b cascades, with V essentially constant across individuals in the affected stratum. Falsification: a population stratified into chronic Mode 2 in which V varies normally with Φ, indicating no Mode 4b component.
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BAS-P15 / Regulation / Original numbered prediction

P15 (Calibration tolerance δ in Mode 4c — provisional)

Paper reclassification or conditional extension
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsification: a population scan showing no correlation between V_set,actual– V_set,fitness mismatch and chronic outcome divergence after controlling for V_max and other confounders. This prediction is conditional on the cohort regressions described in §6.2.3 actually being conducted; until then, P15 is a structural prediction without empirical validation.

Four-role exhaustion applies to declared topology; a failed policy is not nonexistence of viable policies.

Read the original prediction
P15 (Calibration tolerance δ in Mode 4c — provisional). The calibration tolerance δ that defines Mode 4c is in principle measurable: for any tissue with enough fitness-relevant outcome data, V_set,fitness can be inferred from the V that maximises long-term outcome, and V_set,actual can be measured by mapping V vs. Φ in non-Mode-4b individuals. The framework predicts that across populations with diverse environmental histories (e.g., different chronic dietary β-distributions), δ-violations correlate with chronic outcome divergence. Falsification: a population scan showing no correlation between V_set,actual– V_set,fitness mismatch and chronic outcome divergence after controlling for V_max and other confounders. This prediction is conditional on the cohort regressions described in §6.2.3 actually being conducted; until then, P15 is a structural prediction without empirical validation.
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BAS-P16 / Regulation / Original numbered prediction

P16 (Mode 3 effect on closed-loop behaviour)

Paper reclassification or conditional extension
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsification: senolytic-rescued individuals showing persistent V-Φ mismatch despite restored 𝒞 fidelity (which would re-locate the fault as genuine Mode 4c — see P17).

Four-role exhaustion applies to declared topology; a failed policy is not nonexistence of viable policies.

Read the original prediction
P16 (Mode 3 effect on closed-loop behaviour). The structurally distinctive signature of the Mode 3 effect on closed-loop behaviour (corrupted Φ propagating through V_ctrl) is dissociation between cytosolic V level (appears appropriate for measured cytosolic Φ) and clinical outcome (events occur despite normal biomarker panels), with the dissociation magnitude proportional to the magnitude of compartmental Φ-mismatch (mitochondrial Φ ≠ cytosolic Φ as measured by orthogonal compartment-resolved probes). The framework predicts that interventions on Mode 3 (senolytics, compartmental fidelity restoration) should, in the same individuals, normalise the V-Φ relation across compartments without changing V_set,actual. The structural fault is in 𝒞, not in V_ctrl; the controller is innocent. Page 46 of 213 Dose Response [PDF page 48] Falsification: senolytic-rescued individuals showing persistent V-Φ mismatch despite restored 𝒞 fidelity (which would re-locate the fault as genuine Mode 4c — see P17).
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BAS-P17 / Regulation / Original numbered prediction

P17 (Mode 3 vs

Forward hypothesis
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsification of the diagnostic. If senolytic-responsive and senolytic-non-responsive sub- populations are indistinguishable on V-Φ trajectory pre/post intervention, or if no V-Φ mismatch dissociation is observed in either group, the diagnostic fails.

Four-role exhaustion applies to declared topology; a failed policy is not nonexistence of viable policies. Failure of a senolytic alone cannot diagnose controller drift; engagement, specificity and alternative failure mechanisms must be tested.

Read the original prediction
P17 (Mode 3 vs. Mode 4c senolytic-rescue diagnostic — forward hypothesis). Operational core (intervention orthogonality). Per §6.2.3, Mode 4c is defined operationally by its response signature under three orthogonal controller-targeted interventions: it responds to V_set-translating recalibration agents and does not respond to bandwidth- acceleration (Mode 4a target) or pinning-release (Mode 4b target). P17 specialises this to senolytic intervention, which acts as a sensor-side intervention reducing senescent-cell- driven 𝒞 corruption: a putative Mode 4c phenotype that responds to a senolytic was Mode 3 all along (sensor fault rescued by senolytic-mediated 𝒞 restoration); a phenotype that does not respond to a senolytic is genuine Mode 4c (controller-internal calibration drift unaffected by sensor restoration). The diagnostic is therefore not contingent on measuring V_set,fitness directly — it requires only the response signature under one sensor-side intervention plus the controller-side interventions of P13 and P14. Status note. P17 is a forward hypothesis, not a deployable diagnostic. Its empirical validation requires direct experimental demonstration of the predicted bimodal response stratification under senolytic intervention in a properly-stratified V-Φ dissociation cohort. The cohort regressions establishing V_set,fitness and δ directly (§6.2.3) would tighten the diagnostic further but are not prerequisites for the intervention-orthogonality test. Until the orthogonal-intervention experiment is conducted, P17 should be read as a structural prediction whose deployment in clinical decision-making is premature. The two phenomena that present as V-Φ dissociation — Mode 3 with downstream controller-action consequence (V_set,actual unaltered, applied to corrupted Φ) and genuine Mode 4c (V_set,actual itself shifted as a controller-internal property) — are predicted to be operationally distinguishable by senolytic intervention. Prediction. In any patient cohort presenting with V-Φ mismatch, stratification by senolytic response should produce two clinically meaningful sub-populations: (i) Mode 3-driven cases — V-Φ relationship returns to V_set,actual-prescribed form post-senolytic without changing V_set,actual; clinical outcome improves; intervention target is sensor repair (further senolytic, anti-SASP, compartmental restoration). (ii) Mode 4c cases — V-Φ relationship continues to deviate from V_set,fitness post-senolytic; V_set,actual unchanged but evolutionarily-mismatched or pharmacologically-shifted; clinical outcome unchanged by senolytic; intervention target is recalibration (genome-environment realignment, V_set- shape pharmacology). Operational principle. Senolytic intervention reduces SASP-driven 𝒞 corruption. In any model system or patient cohort presenting with V-Φ dissociation, post-senolytic restoration of the V-Φ relationship to its V_set,actual-prescribed slope identifies the structural fault as Mode 3 (sensor); persistent V-Φ dissociation post-senolytic identifies the fault as genuine Mode 4c (controller-internal calibration drift). Operational test design (structural specification). In any cohort with documented V-Φ mismatch — cytosolic V appropriate for measured cytosolic Φ, but compartment-resolved redox divergence detectable on orthogonal compartment-resolved probes (e.g. mito-roGFP versus cyto-roGFP, or analogous compartment-resolved redox imaging) — the Page 47 of 213 Dose Response [PDF page 49] discriminating endpoint is the pre/post V-vs-Φ slope under an intervention that reduces senescent-cell-driven 𝒞 corruption. The framework specifies the structural form of the test, not a particular pharmacological agent: the architectural prediction is that any intervention removing senescent-cell-driven 𝒞 corruption should yield concordant Mode-3-vs-Mode-4c stratification, and naming a particular senolytic regimen is beyond the framework’s structural commitment. Selection of agent, dose, cohort, and follow-up window is a matter of trial design; the framework supplies the structural hypothesis under test and the discriminating endpoint, nothing more. Falsification of the diagnostic. If senolytic-responsive and senolytic-non-responsive sub- populations are indistinguishable on V-Φ trajectory pre/post intervention, or if no V-Φ mismatch dissociation is observed in either group, the diagnostic fails.
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AL-P1 / Pharmacology / Original numbered prediction

Prediction 1 (load-bearing, repeated from Section 5.4)

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsified by: systematic deviation (>0.10) at multiple matched dose pairs that cannot be attributed to mechanism overlap, axiom-violation modes (Section 3.3), or measurement error.

Mechanism-selecting generator, Hill1 scope, baseline and uncertainty corrections govern.

Read the original prediction
Prediction 1 (load-bearing, repeated from Section 5.4). Bliss-vs-Loewe discrimination at matched mid-range doses. Confirmed by: matched-dose combination data with individual effects in 0.3-0.7 range falling within ±0.05 of one of the two predictions across multiple dose pairs. Falsified by: systematic deviation (>0.10) at multiple matched dose pairs that cannot be attributed to mechanism overlap, axiom-violation modes (Section 3.3), or measurement error.
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AL-P2 / Pharmacology / Original numbered prediction

Prediction 2

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsified by: systematic differences in shifts across x.

Mechanism-selecting generator, Hill1 scope, baseline and uncertainty corrections govern.

Read the original prediction
Prediction 2. log(ECx) shifts are identical for all x under constant-mechanism intervention. Any intervention that shifts the rapidity of an Al-toxicity dose-response by Δ should produce equal shifts in log(EC10), log(EC50), log(EC90). Falsified by: systematic differences in shifts across x.
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AL-P3 / Pharmacology / Original numbered prediction

Prediction 3

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsified by: systematic Schild slope deviation indicating non-competitive mechanism.

Mechanism-selecting generator, Hill1 scope, baseline and uncertainty corrections govern.

Read the original prediction
Prediction 3. Schild slope = 1 for true competitive Al-binding antagonists. Compounds that bind Al3+ competitively with its superoxide-binding site should show Schild plots with slope 1.0 ± 0.1. Falsified by: systematic Schild slope deviation indicating non-competitive mechanism.
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AL-P4 / Pharmacology / Original numbered prediction

Prediction 4

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsified by: dose-response inconsistent with any bounded sigmoidal form across at least two orders of magnitude.

Mechanism-selecting generator, Hill1 scope, baseline and uncertainty corrections govern.

Read the original prediction
Prediction 4. Hill-form dose-response with measurable nH. Al3+-induced oxidative damage in cell-free or cellular systems with controlled SOD activity should follow a Hill curve when plotted against log[Al3+], with effective coefficient nH structurally diagnostic of the competition mechanism. Falsified by: dose-response inconsistent with any bounded sigmoidal form across at least two orders of magnitude.
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AL-P5 / Pharmacology / Original numbered prediction

Prediction 5

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
Falsified by: systematic deviation from unit slope.

Mechanism-selecting generator, Hill1 scope, baseline and uncertainty corrections govern.

Read the original prediction
Prediction 5. Within-system intervention test. When pH and Al speciation are held constant and baseline SOD activity is independently manipulated, the damage threshold [Al3+]threshold should scale linearly with baseline [SOD]local, with slope 1 on log-log axes (0.8-1.2 across at least one order of magnitude). Falsified by: systematic deviation from unit slope. [PDF page 32] Murray — Aczél-Family Structure of Pharmacology (v14) Page 30
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AL-P6 / Pharmacology / Original numbered prediction

Prediction 6 (elliptic signature — exploratory)

Historical conjecture; geometric rationale unsupported
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
A resolved contradiction of the stated model prediction in its admitted regime; a noisy null result is unresolved.

The paper misclassifies Bliss as parabolic; an interior peak does not uniquely identify elliptic composition. Retained for provenance, not presented as an established discriminating test.

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Prediction 6 (elliptic signature — exploratory). The Bliss and Loewe compositions are both parabolic isometries of the underlying compositional structure — flows that translate the rapidity without rotation. A third class of composition, corresponding to elliptic isometries (mutual bidirectional modulation between agents), would produce a qualitatively distinct observable signature: for a fixed dose ratio of agents A and B, the combined effect ecombo as a function of total dose would exhibit a local interior maximum — a dose level beyond which increasing either agent's dose reduces the combined effect. This non-monotonic response surface is not predicted by any standard synergy model and constitutes a sharp, falsifiable signature of elliptic composition. Experimental detection requires full dose-response surfaces and monotonicity testing across at least two orders of magnitude in total dose. No confirmed example in the Al-toxicity literature is known to the author; the prediction is exploratory but falsifiable in any system where mutual modulation is suspected.
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ECO-P1 / Ecology / Original numbered prediction

P1

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
A resolved contradiction of the stated model prediction in its admitted regime; a noisy null result is unresolved.

Density-only observation erases divergence-free probability currents; time-order tests need nuisance controls.

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P1. A neutral histogram can hide a niche current. Fit neutral models to abundance distributions, then test log-ratio increments for irreversibility. Histograms look neutral while the covariant current exceeds the label-permutation surrogate.
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ECO-P2 / Ecology / Original numbered prediction

P2

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
A resolved contradiction of the stated model prediction in its admitted regime; a noisy null result is unresolved.

Density-only observation erases divergence-free probability currents; time-order tests need nuisance controls.

Read the original prediction
P2. Neutrality strengthens within guilds. Repeat within guilds, trait clusters, or habitat classes. Within-guild Péclet and entropy production fall relative to cross- guild contrasts.
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ECO-P3 / Ecology / Original numbered prediction

P3

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
A resolved contradiction of the stated model prediction in its admitted regime; a noisy null result is unresolved.

Density-only observation erases divergence-free probability currents; time-order tests need nuisance controls.

Read the original prediction
P3. Gradient niche tracks gradients. Estimate drift across topography, soil, moisture, light. Reversible gradient drift aligns with environment and shows in the distribution.
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ECO-P4 / Ecology / Original numbered prediction

P4

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
A resolved contradiction of the stated model prediction in its admitted regime; a noisy null result is unresolved.

Density-only observation erases divergence-free probability currents; time-order tests need nuisance controls.

Read the original prediction
P4. Scale controls the answer. Vary quadrat size and census interval. Detectability of niche drift rises with interval like √Δt.
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ECO-P5 / Ecology / Original numbered prediction

P5

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
A resolved contradiction of the stated model prediction in its admitted regime; a noisy null result is unresolved.

Density-only observation erases divergence-free probability currents; time-order tests need nuisance controls.

Read the original prediction
P5. Projection determines interpretation. Compare unordered summaries with ordered trajectory models. The same community supports neutral- and niche-looking claims by projection.
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ECO-P6 / Ecology / Original numbered prediction

P6

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
A resolved contradiction of the stated model prediction in its admitted regime; a noisy null result is unresolved.

Density-only observation erases divergence-free probability currents; time-order tests need nuisance controls.

Read the original prediction
P6. Intransitivity implies irreversibility. Compare communities with documented intransitive vs hierarchical interactions. Intransitive communities show positive irreversibility despite neutral-looking histograms; hierarchical ones show structure in the histogram with low irreversibility.
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ECO-P7 / Ecology / Original numbered prediction

P7

Conditional paper prediction; not independently validated here
The test
Use the source-defined observable, operating conditions and comparator below. Establish precision and independent calibration before a confirmatory test.
What agreement would support
Agreement with the stated prediction within a predefined domain and uncertainty; independent mechanism identification remains separate.
Failure or limitation
A resolved contradiction of the stated model prediction in its admitted regime; a noisy null result is unresolved.

Density-only observation erases divergence-free probability currents; time-order tests need nuisance controls.

Read the original prediction
P7. The niche current is cyclic. Estimate loop circulation (curl) of the current within habitat strata. Intransitive communities show nonzero closed-loop circulation; forcing shows net translation instead.
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