Theophysics Registry

ISO-005: Decoherence ↔ Lifespan

Classification Level 3 — Isomorphism

Confidence HIGH

Version v1.0 | April 2026

⚛ ISO-005 — Decoherence Curve

Decoherence ↔ Lifespan

The Genesis Genealogies Follow a Quantum Decoherence Equation

"As long as G > 0, there is a nonzero equilibrium. Coherence can't hit zero because grace doesn't quit."

Decoherence Mapping

C(t) = A · e^-t/τ_d + L_floor

                            A = 337  |  τd = 214 years  |  Lfloor = 93 years
                        

R² = 0.888 p = 4.73 × 10⁻⁷ 23 Data Points

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 τ_d 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.

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 = at^b	Rejected
Step Function	Discrete jump	Rejected
Pure Exponential	y = Ae^-t/τ	ΔAIC = 5.3
Exponential + Floor	y = Ae^-t/τ + L_floor	BEST FIT
Logistic	Sigmoid curve	Rejected

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

Four Independent Floor Convergences

The asymptotic floor L_floor is not a free parameter chosen for convenience. It converges from four independent sources spanning 3,400 years — from Moses to modern actuarial science.

Decoherence Equation

Best-fit floor parameter from the exponential+floor regression on 14 post-Flood data points.

L_floor = 93 years

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

Modern WHO Data

Global average life expectancy 73–78 years. Developed nations: 78–82 years. Converges on the same floor band.

73–82 years

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)

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

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

📊 Genesis 5 & 11 (23 data points)

📈 AIC Model Comparison (6 models)

⚠ Eber Anomaly (z = 2.53σ)

🌎 Modern Actuarial Data

👤 Jeanne Calment (122 yr — under 120+buffer)

Source Articles

GTQ-04 Lifespan Decay Analysis GTQ-04a Extended Data & Methods

⚠ 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, Theophysics Registry