Matthew 25:41 - eternal fire; Revelation 20:14 - second death
** -1 states asymptote to minimal coherence (hell).
This objection fundamentally misunderstands the axiom. [[099_T12.2_Hell-As-Low-Phi-Attractor|T12.2]] explicitly removes the "angry judge" model. Hell is not imposed by God; it is the natural attractor of a self-chosen trajectory. Consider: if you persistently fragment your consciousness through deception, self-deception, and anti-coherent behavior, you are constructing the low-Phi state yourself. God doesn't send you to minimal coherence; you asymptote there by your own dynamics. The attractor exists as a mathematical necessity of the phase space structure. Just as water flows downhill without being "punished" by gravity, sigma = -1 trajectories flow toward minimal Phi without being punished by God. The "cruelty" objection confuses consequences with punishments.
The objection assumes a ledger model of justice (finite sin = finite punishment). But [[099_T12.2_Hell-As-Low-Phi-Attractor|T12.2]] describes an asymptotic process, not a sentence. The low-Phi state is eternal because it is stable—once you reach the attractor basin's fixed point, there is no internal mechanism for escape. This is not punitive duration; it is dynamical stability. Consider: a ball at the bottom of a well stays there not because it's being held down as punishment, but because that's the stable equilibrium. Moreover, the "finite sin" framing is misleading—each moment of sustained sigma = -1 compounds the trajectory, much like compound interest. The integral of infinitesimal choices over time produces the asymptotic result. Finite causes can have infinite effects (consider a single initial condition determining an eternal trajectory in any dynamical system).
NDEs are valuable phenomenological data but must be interpreted carefully. First, NDE subjects return—by definition, they haven't reached the asymptotic limit. The trajectory hasn't completed. Second, the "unconditional love" experience may reflect initial conditions (the high-Phi Divine source), not final states. Third, hellish NDEs exist in the literature (Greyson, Ring) but are underreported due to social stigma. Fourth, the Theophysics model predicts that even hellish trajectories experience the Phi-gradient of the [[011_D2.2_Chi-Field-Properties|chi-field]] during transition—the "love" is the field itself, but the trajectory determines where you ultimately settle. The NDE is a snapshot of transition, not destination.
This objection has genuine philosophical weight and represents one possible interpretation of "minimal coherence." However, [[099_T12.2_Hell-As-Low-Phi-Attractor|T12.2]] describes an attractor, not an annihilation point. The soul-field (psi_S) is conserved ([[083_A10.2_Soul-Conservation|A10.2]], [[084_D10.1_Soul-Field-Psi_S|D10.1]]), so total dissolution is not permitted by the conservation laws. What remains at the low-Phi attractor is a fragmented, decoherent state—not nothing, but almost nothing. The "second death" of Revelation may refer precisely to this: not non-existence, but existence stripped of integration, meaning, and coherence. Whether this constitutes "suffering" in any experiential sense depends on whether Phi = epsilon retains any qualia. The framework allows for a spectrum of interpretations, from conscious torment to mere informational persistence without integration.
The trajectory follows from the sign sigma, which is set by free moral choice ([[089_A11.2_Coherence-Morality-Identity|A11.2]], [[091_T11.1_Virtue-As-High-Phi|T11.1]], [[092_T11.2_Vice-As-Decoherence|T11.2]]). The dynamics are deterministic given the sign, but the sign itself is freely chosen at each moment. This is identical to standard physics: given initial conditions, trajectories are determined, but initial conditions can be set freely. The soul chooses sigma at each instant; the mathematics then unfolds. Moreover, the trajectory is not fixed until the asymptotic limit—repentance (sigma reversal) is always possible prior to the attractor. Free will operates within the dynamics, not outside them. The determinism objection confuses lawfulness with fatalism.
Phase space structure:
The soul exists in a phase space P with coordinates (Phi, sigma, t), where:
Evolution equation:
Where:
For sigma = -1:
The trajectory is monotonically decreasing toward Phi = 0.
Fixed point analysis:
Setting dPhi/dt = 0 for sigma = -1:
Since both terms are negative, the only solution is Phi* = 0 (or epsilon, the minimal non-zero coherence).
Stability analysis:
Linearizing about Phi* = epsilon:
Since Gamma'(epsilon) > 0 and D'(epsilon) < 0, the coefficient is negative, confirming Phi* = epsilon is a stable attractor.
Definition (Attractor):
A set A in phase space P is an attractor if:
1. A is compact and invariant under the flow phi_t
2. There exists a neighborhood U of A such that for all x in U: d(phi_t(x), A) -> 0 as t -> infinity
3. A is minimal (no proper subset satisfies 1-2)
Theorem (Low-Phi Attractor Existence):
Given the evolution equation with sigma = -1, the set A = {(Phi, sigma, t) : Phi = epsilon, sigma = -1} is an attractor.
Proof sketch:
1. Show dPhi/dt < 0 for all Phi > epsilon when sigma = -1
2. Show Phi = epsilon is invariant (dPhi/dt = 0 at epsilon)
3. Show convergence: |Phi(t) - epsilon| -> 0 as t -> infinity
4. Minimality: A contains only the single fixed point
| Domain | Mapping |
|---|---|
| Physics | Low-Phi attractor / entropy maximum |
| Theology | Hell as separation / second death |
| Consciousness | Fragmentation / disintegration |
| Quantum | Decoherence basin |
| Scripture | Matthew 25:41 - eternal fire; Revelation 20:14 - second death |
| Evidence | IIT fragmentation states |
| Information | Information dissolution |
Bridge Count: 7