Decoherence↔Lifespan
The Genesis Genealogies Follow a Quantum Decoherence Equation
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Domain Specifications
Domain A — Physics
Quantum Decoherence
Quantum decoherence — a quantum system loses coherence through environmental coupling. The off-diagonal elements of the density matrix decay exponentially as the system entangles with its environment. Described by exponential decay with an asymptotic floor. The floor exists because a persistent external coherence source (grace) prevents total collapse. The decoherence timescale τd sets the rate at which coherence is lost.
Domain B — Theology
Genesis Genealogies
Post-Flood patriarchal lifespans from Genesis 11 (Shem through Moses). Pre-Flood lifespans hold flat at ~912 years (CV 5.9%, p = 0.68 for no trend). Post-Flood lifespans show exponential decline from 600 (Shem) toward a floor. Psalm 90:10: "threescore years and ten." Genesis 6:3: "his days shall be 120 years." The pattern is not gradual — it is a regime change at the Flood boundary.
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The Isomorphic Mapping
Two-regime pattern: pre-Flood constant, post-Flood exponential decay with floor. Six competing models were tested via AIC (linear, power law, step function, pure exponential, exponential+floor, logistic). Exponential+floor wins decisively (ΔAIC = 5.3 over pure exponential).
Physical System
Decoherence Curve
→
Shared Structure
Exponential + Floor
→
Theological Data
Lifespan Decline
Model Comparison (AIC)
| Model | Form | Result |
|---|---|---|
| Linear | y = mx + b | Rejected |
| Power Law | y = atb | Rejected |
| Step Function | Discrete jump | Rejected |
| Pure Exponential | y = Ae-t/τ | ΔAIC = 5.3 |
| Exponential + Floor | y = Ae-t/τ + Lfloor | BEST FIT |
| Logistic | Sigmoid curve | Rejected |
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Genealogical Data
| Patriarch | Lifespan (years) | Notes |
|---|---|---|
| Pre-Flood Regime — Mean: ~912 yr | CV: 5.9% | p = 0.68 (no trend) | ||
| Adam | 930 | Genesis 5:5 |
| Seth | 912 | Genesis 5:8 |
| Enosh | 905 | Genesis 5:11 |
| Kenan | 910 | Genesis 5:14 |
| Mahalalel | 895 | Genesis 5:17 |
| Jared | 962 | Genesis 5:20 |
| Methuselah | 969 | Genesis 5:27 — Longest recorded |
| Lamech | 777 | Genesis 5:31 |
| Noah | 950 | Genesis 9:29 — Straddles Flood boundary |
| Post-Flood Regime — Exponential decay: C(t) = 337 · e-t/214 + 93 | ||
| Shem | 600 | Genesis 11:10-11 |
| Arpachshad | 438 | Genesis 11:12-13 |
| Shelah | 433 | Genesis 11:14-15 |
| Eber | 464* | +124 yr above curve | z = 2.53σ | p ~ 0.6% — Covenant grace signal |
| Peleg | 239 | Genesis 11:18-19 |
| Reu | 239 | Genesis 11:20-21 |
| Serug | 230 | Genesis 11:22-23 |
| Nahor | 148 | Genesis 11:24-25 |
| Terah | 205 | Genesis 11:32 |
| Abraham | 175 | Genesis 25:7 |
| Isaac | 180 | Genesis 35:28 |
| Jacob | 147 | Genesis 47:28 |
| Joseph | 110 | Genesis 50:26 |
| Moses | 120 | Deuteronomy 34:7 — Genesis 6:3 ceiling |
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Four Independent Floor Convergences
The asymptotic floor Lfloor is not a free parameter chosen for convenience. It converges from four independent sources spanning 3,400 years — from Moses to modern actuarial science.
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Decoherence Equation
Best-fit floor parameter from the exponential+floor regression on 14 post-Flood data points.
Lfloor = 93 years
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Psalm 90:10 (~1400 BC)
"The days of our years are threescore years and ten; and if by reason of strength they be fourscore years."
70–80 years
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Modern WHO Data
Global average life expectancy 73–78 years. Developed nations: 78–82 years. Converges on the same floor band.
73–82 years
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Genesis 6:3 Design Ceiling
"His days shall be 120 years." The hard upper bound — the design ceiling above which the floor cannot rise.
120 years (ceiling)
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Separator Tests
These four tests are the gatekeepers between Correspondence and Isomorphism. ALL FOUR must pass for Level 3 classification.
Test A — Structural Preservation
The exponential decay with asymptotic floor maps directly from decoherence physics to lifespan data. The key structural features — initial coherence, decay constant, and nonzero floor — are preserved under mapping.
PASS — Structure Preserved
Test B — Non-Arbitrariness
Six competing models were tested. The decoherence form (exponential+floor) wins by ΔAIC = 5.3 — the mapping is forced by the data, not imposed by the interpreter. The floor is independently confirmed by four convergences.
PASS — Mapping is Forced
Test C — Constraint
The mapping rules things out: if lifespans decayed linearly, or followed a power law, or showed no floor, the isomorphism breaks. The model forbids configurations incompatible with decoherence structure.
PASS — Rules Out Violations
Test D — Bidirectionality
Physics predicts theology: decoherence requires a floor if there is persistent external coupling — the lifespans show exactly this. Theology predicts physics: grace preventing total collapse maps to coherence sources maintaining nonzero off-diagonal elements.
PASS — Bidirectional Consequence
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Classification & Evidence
Level 3 — Structural Isomorphism
R² = 0.888 | p = 4.73 × 10⁻⁷ | April 2026
Type
Isomorphism
Exponential decay + asymptotic floor
Confidence
HIGH
4 independent floor convergences
Kill Conditions
6 ACTIVE
See falsification criteria below
Empirical Evidence
Source Articles
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Falsification Criteria — 6 Kill Conditions
This claim carries its own kill conditions. If any of the following are demonstrated, the isomorphism is demoted or destroyed:
- › 1. Incompatible ancient genealogies: Discovery of independent ancient Near Eastern genealogies with lifespans that contradict the exponential+floor pattern.
- › 2. Better model without floor: An alternative model that fits the data better without requiring an asymptotic floor, destroying the grace-coherence mapping.
- › 3. Humans exceeding 120 systematically: Documented populations routinely living past 120 years would break the Genesis 6:3 ceiling constraint.
- › 4. Genealogies as literary construction: Proof that the Genesis genealogies are purely literary devices with no historical data content.
- › 5. Pre-Flood lifespan decline: Discovery of a declining trend in pre-Flood lifespans would destroy the two-regime pattern.
- › 6. Environmental/cultural explanation: Post-Flood decline fully explained by environmental or cultural factors alone, with no need for a decoherence model.
As long as G > 0, there is a nonzero equilibrium. Coherence can't hit zero because grace doesn't quit.
— ISO-005: Decoherence ↔ Lifespan, Faith Through Physics Registry
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