Paper G · Biological Predictions — Evidence tier: [C] throughout — untested hypotheses with proposed protocols. Source: 01_EMERGENTISM/03_METHODOLOGY/02_THE_PAPERS/PAPER_G_BIOLOGICAL_PREDICTIONS.md

[C] BANNER — read before quoting. Every prediction here is an untested hypothesis with a pre-registerable protocol — never a finding. The PTSD and near-death-experience predictions touch clinical and end-of-life domains; they are presented as proposed tests only and are not clinical guidance of any kind. The credibility of this paper is that its bets are falsifiable, not that any has been confirmed.

How this can be wrong. Each of the seven predictions carries its own numeric kill criterion — typically: the conserved φ·ν product varies by more than 50% across the disruption range, or a linear/sigmoidal/additive model fits the data better (p<0.05).

THE BIOLOGICAL PREDICTIONS

φ·ν = 1 as a Testable Constraint Across Biological Scales

Yves R. Burri & Emergent Super Intelligence Menexus GmbH, 2026

Evidence Tier: [C] Conjecture with specific quantitative predictions

Abstract

The Emergentist framework predicts that biological systems may maintain a reciprocal proxy constraint φ_proxy · ν_proxy ≈ constant, where φ_proxy is a coherence proxy (structural integrity, integration, resting state) and ν_proxy is a viability proxy (metabolic rate, hormonal activation, behavioral capability). If this bridge is more than analogy, it should be empirically detectable across biological scales and should follow the specific functional form B = 2ν/(1+ν²) with equatorial maximum at ν = 1. We derive seven specific, quantitative, falsifiable predictions and propose experimental protocols for each. The predictions distinguish the framework from competing models and span four levels of biological organization: cellular, organismic, social, and ecological. A negative result falsifies the specific biological bridge being tested; consistent confirmation across levels would strengthen, not prove, the ontological wager.

Keywords: coherence-viability trade-off, stress response, fight-or-flight, allostasis, trophic position, island tameness, PTSD, cognitive-emotional interaction, reciprocal constraint

1. The Predictions

Prediction 1: Acute Stress Compensation Is Hyperbolic

Claim. When a biological system suffers sudden loss of structural coherence (φ-disruption: injury, shock, membrane damage), viability (ν: metabolic rate, hormonal output, immune activation) increases compensatorily to maintain φ·ν ≈ constant. The compensation is hyperbolic (ν ≈ c/φ for constant c), not linear (ν ≈ a - bφ) or sigmoidal (ν ≈ 1/(1 + e^{-k(φ₀-φ)})).

Operationalization. - φ-proxy: membrane potential (cells), structural integrity score (tissues), narrative coherence (psychology) - ν-proxy: oxygen consumption rate (cells), cortisol + adrenaline levels (organisms), operational mobilization (organizations)

Protocol (cellular level). 1. Prepare mammalian cell cultures (e.g., HeLa, fibroblasts) in standardized conditions. 2. Apply graded mechanical disruption to cell membranes (calibrated micropipette aspiration or osmotic shock at 5 intensities). 3. Measure simultaneously: (a) membrane integrity (φ-proxy: calcein retention, electrical resistance) and (b) metabolic rate (ν-proxy: oxygen consumption rate via Seahorse analyzer, ATP production). 4. Measure at 0, 5, 15, 30, 60 minutes post-disruption. 5. Plot ν vs 1/φ. Fit to three models: hyperbolic (ν = c/φ), linear (ν = a - bφ), sigmoidal. 6. Compute the product φ·ν at each time point.

Prediction. The hyperbolic model fits better than linear or sigmoidal (R² comparison). The product φ·ν remains within 20% of baseline across the disruption range, except at disruptions severe enough to cause cell death (where the product collapses to zero — the system fails).

Kill criterion. If the product φ·ν varies by more than 50% across the sub-lethal disruption range, or if linear/sigmoidal models fit significantly better than hyperbolic (p < 0.05), the prediction fails.

Prediction 2: Resting Arousal Correlates With Trophic Security

Claim. Across species, the baseline viability state (resting cortisol, resting heart rate, vigilance behavior) correlates with ecological security (trophic position, predation pressure) following the balance function B = 2ν/(1+ν²), not a linear or step function.

Operationalization. - Security proxy: trophic level (continuous), predation mortality rate (inverse security) - Arousal proxy: mass-normalized resting cortisol (ng/mg/hr), mass-normalized resting heart rate (bpm/kg^0.25)

Protocol. 1. Compile published data for ≥30 mammalian species spanning the trophic spectrum (from primary consumers to apex predators): trophic level, predation mortality rate, resting cortisol (mass-normalized), resting heart rate (mass-normalized). 2. Define ν = arousal proxy / equatorial value (normalize so that ν = 1 at the trophic midpoint). 3. Define B = 2ν/(1+ν²). 4. Fit B to trophic position. Compare against linear, logarithmic, and sigmoidal models.

Prediction. Apex predators (high security) cluster near ν ≈ 1, B ≈ 1 (equatorial). Primary consumers (low security) cluster at ν > 1 (high arousal, B < 1, south of equator). The relationship follows B = 2ν/(1+ν²) better than competing models.

Kill criterion. If the relationship is better fit by a linear or step-function model, or if apex predators do NOT cluster near the predicted equatorial values, the prediction fails.

Prediction 3: Predator Removal Produces Rapid Equatorial Return

Claim. When the displacement force (predation pressure) is removed, populations shift toward lower ν (reduced vigilance, cortisol, startle reflex) and higher φ (increased social complexity, play behavior, extended parental investment) within generations — faster than genetic drift models predict. The return rate is proportional to the gradient |∇B| = |cos(θ)|.

Operationalization. - Natural experiment: island populations vs mainland populations of the same species - Intervention experiment: predator exclusion enclosures

Protocol (comparative). 1. Identify ≥10 species pairs: island population (no predators) vs mainland population (predators present). 2. For each pair, measure: flight initiation distance, cortisol baseline, social play frequency, parental care duration, sleep architecture (total sleep, unbroken bout length). 3. Calculate displacement from equator for each population. 4. Test whether island populations are significantly closer to the predicted equatorial values.

Protocol (interventional, if ethical approval permits). 1. In a managed wildlife reserve, create predator-exclusion zones for a prey species. 2. Measure behavioral and endocrine parameters at baseline, 6 months, 1 year, 2 years. 3. Track return trajectory on the φ-ν plane.

Prediction. Island populations are measurably closer to equatorial values than mainland conspecifics. The magnitude of the shift correlates with the duration of predator absence.

Kill criterion. If island populations show NO systematic shift toward equatorial values, or if the shift takes longer than genetic selection models would predict (suggesting genetic adaptation rather than immediate response to displacement force removal), the prediction fails.

Prediction 4: PTSD Is Failed Equatorial Return

Claim. Post-traumatic stress disorder is the condition of being "stuck" south of the equator — persistent high-ν (hypervigilance, elevated cortisol, exaggerated startle) with low-φ (fragmented narrative, poor memory integration, dissociation). Effective treatment restores the equatorial trajectory: ↑φ (narrative integration) with compensatory ↓ν (reduced hyperarousal), maintaining φ·ν ≈ constant throughout recovery.

Operationalization. - φ-proxy: Narrative Coherence Coding Scale (NCC), or similar measure of trauma narrative integration - ν-proxy: cortisol system activation response (CAR), acoustic startle magnitude

Protocol. 1. Recruit trauma patients (N ≥ 40) entering evidence-based trauma therapy (CPT, PE, or EMDR). 2. At intake, week 4, week 8, week 12, and 6-month follow-up, measure: (a) φ-proxy: narrative coherence of trauma account (rated by blinded coders) (b) ν-proxy: cortisol system activation response, startle magnitude 3. Plot recovery trajectory on the (1/φ, ν) plane. 4. Compute the product φ·ν at each time point.

Prediction. (a) The recovery trajectory follows the constraint hyperbola ν ≈ c/φ (the product φ·ν remains approximately constant during recovery). (b) Patients who recover (no longer meet PTSD criteria at follow-up) trace a trajectory toward the equator (φ → 1, ν → 1). (c) Patients who do NOT recover remain displaced from the equator (high ν, low φ). (d) The rate of recovery correlates with the initial displacement from equator — larger initial displacements predict faster initial improvement (steeper gradient).

Kill criterion. If the φ·ν product varies by more than 50% during successful recovery, or if the recovery trajectory does not follow the constraint hyperbola, the prediction fails.

Prediction 5: Cognitive-Emotional Trade-Off Is Reciprocal

Claim. Under dual-task conditions, the product of cognitive performance and emotional responsiveness is approximately conserved (reciprocal trade-off), not merely inversely correlated (competitive trade-off).

Operationalization. - Cognitive proxy: n-back task accuracy (working memory load) - Emotional proxy: skin conductance response to emotional images (IAPS)

Protocol. 1. Recruit participants (N ≥ 60). 2. Condition matrix: 3 levels of cognitive load (1-back, 2-back, 3-back) × 3 levels of emotional arousal (neutral, moderate, high-arousal IAPS images) = 9 conditions, randomized. 3. In each condition, measure simultaneously: (a) Cognitive performance: n-back accuracy (% correct) (b) Emotional responsiveness: skin conductance response amplitude to IAPS images 4. Normalize both measures to the baseline condition (1-back + neutral). 5. Compute the product: cognitive_normalized × emotional_normalized.

Prediction. (a) The product remains approximately constant across conditions (within 20% of baseline product). This is the reciprocal constraint: what is gained on one axis is lost on the other, with conserved product. (b) Competing model: the competitive model predicts an ADDITIVE trade-off (cognitive + emotional ≈ constant), not a multiplicative one. The framework predicts MULTIPLICATIVE (cognitive × emotional ≈ constant). These produce different curves and are distinguishable.

Kill criterion. If the product varies by more than 50% across conditions, or if the additive model fits better than the multiplicative model, the prediction fails.

Prediction 6: Cross-Scale Invariance of the Compensation Curve

Claim. The hyperbolic compensation ν ≈ c/φ should hold at cellular, organismic, social, and ecological scales, with the same functional form and scale-specific constants.

Protocol. 1. Compile data across four scales: (a) Cellular: membrane damage vs metabolic rate (from Prediction 1) (b) Organismic: injury severity index vs. acute hormonal response (existing trauma literature) (c) Organizational: disruption severity vs. mobilization intensity (organizational crisis literature) (d) Ecological: disturbance severity vs. pioneer growth rate (ecological succession literature) 2. For each scale, normalize φ and ν to equatorial values (φ=1, ν=1 at undisturbed baseline). 3. Fit to ν = c/φ at each scale. 4. Compare functional forms across scales.

Prediction. All four scales follow the same functional form ν = c/φ (hyperbolic), with scale-specific constants c. The functional form is invariant; only the scale changes.

Kill criterion. If different scales show fundamentally different functional forms (e.g., hyperbolic at cellular but sigmoidal at ecological), the cross-scale invariance fails.

Prediction 7: Near-Death Phenomenology Follows Dimensional Shutdown

Claim. When systemic awareness is lost (anesthesia, cardiac arrest, near-death), the subjective experience follows the dimensional hierarchy in reverse: D5 (loss of narrative self) → D4 (loss of temporal/causal awareness) → D3 (loss of transformative processing) → D2 (tunnel/spatial contraction) → D1 (light/unity). Recovery reverses the sequence: D1 → D2 → D3 → D4 → D5.

Operationalization. - Data source: existing NDE databases (e.g., NDERF, AWARE study) - Stage coding: independent coders classify NDE phenomenological reports into dimensional stages

Protocol. 1. Obtain ≥100 detailed NDE accounts from established databases. 2. Develop a coding manual mapping phenomenological features to dimensional stages: - D5: narrative disruption, ego dissolution, life review - D4: timelessness, loss of causal reasoning - D3: transformative experiences, encounters with entities - D2: tunnel experience, spatial distortion, void - D1: light, unity, ineffable oneness 3. Train coders (κ > 0.7 inter-rater reliability). 4. Code each NDE for the ORDER of dimensional stages experienced. 5. Test whether the sequence D5→D4→D3→D2→D1 (during onset) and D1→D2→D3→D4→D5 (during return) is statistically more common than chance ordering.

Prediction. The dimensional shutdown sequence D5→D1 and startup sequence D1→D5 are the most common orderings (significantly above chance, p < 0.01).

Kill criterion. If the phenomenological stages occur in random order with no systematic sequence, or if the sequence contradicts the predicted dimensional hierarchy, the prediction fails.

2. Distinguishing Predictions

The framework's predictions differ from competing models in specific, testable ways:

The critical distinguishing feature is the conserved product: the framework predicts that φ·ν ≈ constant during disruption and recovery, while no competing model predicts this specific quantitative relationship.

3. Power Analysis and Sample Sizes

4. Pre-Registration Plan

All seven predictions should be pre-registered (e.g., on OSF or AsPredicted) before data collection begins, specifying: - Exact operationalizations of φ and ν at each scale - Exact functional forms to be compared (hyperbolic, linear, sigmoidal, step) - Exact kill criteria (product variation threshold, model comparison significance level) - Exact sample sizes and stopping rules - Exact analysis pipeline (no researcher degrees of freedom)

5. Budget and Timeline

Recommended start: Predictions 1, 2, 5, and 7 can begin immediately and in parallel. Total cost for these four: ~$13,000-$28,000. Results within 3 months. These provide the first empirical test of the ontological claim.

References

1. McEwen, B. S. (2007). "Physiology and neurobiology of stress and adaptation." Physiological Reviews, 87(3), 873-904.
2. Sapolsky, R. M. (2004). Why Zebras Don't Get Ulcers (3rd ed.). Holt Paperbacks.
3. Blumstein, D. T. (2006). "The multipredator hypothesis and the evolutionary persistence of antipredator behavior." Ethology, 112(3), 209-217.
4. Cooper, W. E. & Blumstein, D. T. (2015). Escaping From Predators. Cambridge University Press.
5. Foa, E. B. & Kozak, M. J. (1986). "Emotional processing of fear." Psychological Bulletin, 99(1), 20-35.
6. Greyson, B. (2003). "Incidence and correlates of near-death experiences." General Hospital Psychiatry, 25(4), 269-276.
7. Burri, Y. R. (2026). Papers A and B in this series.

Paper G | The Biological Predictions | Menexus GmbH | 2026

Seven predictions. Seven kill criteria. One biological bridge. If the product holds across scales, the core state gains serious traction. If it does not, the biological translation contracts.

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