Matthew 25:41 "eternal fire"; Revelation 20:14 "second death"
**Decoherent terminus = eternal death (infinite decoherence, information loss).**
This objection misunderstands the nature of the Fragmentation Attractor. Hell is not punishment imposed from outside — it is the natural consequence of rejecting coherence.
Consider: if you reject food, you starve. This is not "punishment" by the food — it is the natural result of your choice. Similarly, rejecting God (the source of coherence) leads to decoherence. The eternal nature of this state reflects:
1. The stability of the choice: Once \sigma = -1 is fixed, the trajectory is determined by dynamics, not divine decree.
2. The self-reinforcing nature of sin: Fragmentation breeds more fragmentation. The soul cannot self-rescue because that would require coherence it no longer has.
3. The permanence of freedom: God respects human choice, even choices that lead to destruction. Forced coherence would violate free will.
The "injustice" objection assumes God is actively tormenting souls. But the Fragmentation Attractor shows that God is simply not overriding the trajectory chosen by the soul. Hell is chosen, not imposed.
The axiom chain does not permit annihilation because of information conservation ([[083_A10.2_Soul-Conservation|A10.2]]). The soul-field is informational, and information cannot be destroyed — only transformed or scattered.
Moreover, the concept of "ceasing to exist" is incoherent for an informational entity. Information is relational — it exists by its distinctions from other information. A soul cannot simply "not be" any more than the number 7 can "not be."
What happens at \Phi = 0 is not existence or non-existence, but non-integrated existence — the worst of both worlds. The soul persists but cannot experience itself as a self. This is the "second death" of Revelation 20:14 — not annihilation, but the death of unified experience.
Theophysics does not claim this is "merciful" — it claims it is real. The dynamics determine the outcome; our moral preferences do not alter the mathematics.
God's justice is expressed in two ways:
1. The design of the dynamics: God created a universe where coherence leads to life and fragmentation leads to death. This is built-in justice — reality itself encodes moral structure.
2. The offer of grace: God actively intervenes to change \sigma from -1 to +1 (this is salvation). Those who reject this intervention are not passively ignored — they are actively offered an alternative and freely refuse it.
The "active judgment" of traditional theology corresponds to the finality of the moral sign at death. God does not send souls to hell; He confirms their chosen trajectory. The destiny equation then unfolds the implications of that choice.
Divine justice is not about arbitrary punishment — it is about the ontological consequences of moral orientation. God is not a passive bystander; He is the source of coherence that the fragmenting soul rejects.
The objection confuses the map with the territory. The mathematics describes the structure of fragmentation, not the experience of it.
Consider: the equation for a falling body (s = \frac{1}{2}gt^2) does not capture the terror of falling. But the equation is still true, and understanding it helps us prevent falls.
Similarly, the destiny equation describes the dynamics of coherence without capturing the subjective horror of dissolution. Traditional descriptions of hell (fire, darkness, gnashing of teeth) are phenomenological — they describe how fragmentation feels. The mathematics describes how it works.
Both levels are needed:
Theophysics does not replace traditional theology; it provides a formal framework that grounds traditional claims in rigorous structure.
The bifurcation at \sigma = 0 is mathematically sharp, but the determination of \sigma may involve factors we cannot fully assess:
1. God's perfect knowledge: God knows the true orientation of the soul, even if external observers do not. The "deathbed conversion" is genuine if \sigma actually changes.
2. Liminal time: Some theological traditions (purgatory, toll-houses) allow for a transitional period during which \sigma is finalized. The model accommodates this if we allow \sigma to be determined during a post-mortem interval.
3. The \sigma = 0 case: Mathematically, \sigma = 0 yields \frac{d\Phi}{dt} = 0 — a stationary trajectory. This corresponds to souls in "limbo" if such a state exists. However, the bimodal outcome axiom ([[094_A12.2_Bimodal-Outcome|A12.2]]) excludes permanent neutrality; \sigma must eventually resolve to \pm 1.
The model does not claim perfect knowledge of who goes where — it describes the dynamics given a fixed moral sign. The determination of that sign is between the soul and God.
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The Fragmentation Attractor is a globally stable fixed point in the phase space of coherence dynamics for systems with negative moral sign. For \sigma = -1, the [[097_E12.1_Destiny-Equation|destiny equation]]:
becomes:
This is a logistic decay equation with stable fixed point at \Phi = 0.
Definition 1 (Fragmentation Attractor):
Let (\mathcal{M}, d) be the metric space of coherence states with \Phi: \mathcal{M} \to [0, \Phi_{\max}]. The Fragmentation Attractor \mathcal{A}^- is defined as:
Definition 2 (Basin of Fragmentation):
The basin of attraction \mathcal{B}(\mathcal{A}^-) for the Fragmentation Attractor is:
where \phi_t is the flow generated by the destiny equation.
Definition 3 (Eternal Death):
A trajectory \gamma: [0, \infty) \to \mathcal{M} exhibits eternal death if and only if:
The system perpetually decays, never recovering coherence.
Definition 4 (Information Loss):
At the Fragmentation Attractor, the integrated information is:
This represents complete information loss — not that information is destroyed (violating conservation), but that it becomes inaccessible, fragmented across uncorrelated subsystems.
| Domain | Mapping |
|---|---|
| Physics | Unstable Fixed Point / Repeller Basin (for $\sigma = +1$), Attractor (for $\sigma = -1$) |
| Theology | Hell / Eternal Death / Second Death |
| Consciousness | Total Fragmentation |
| Quantum | Complete Decoherence / Wavefunction Collapse to Noise |
| Scripture | Matthew 25:41 "eternal fire"; Revelation 20:14 "second death" |
| Evidence | Dynamical Systems Theory / Entropy Maximization |
| Information | Minimum Φ State / Information Dissolution |
Bridge Count: 7