Theorem · Chain Position 98 of 346

HEAVEN AS HIGH-PHI ATTRACTOR

Matthew 25:46 eternal

+1 states asymptote to maximal coherence (heaven)

Scripture Bridge
Matthew 25:46 eternal: The theological grounding for this concept.

Connections

Assumes

  • None

Enables

  • None
Objections & Responses
Objection: "Heaven is a place, not a state"
"You're reducing heaven to an abstraction. Heaven is where God is."
Response

Where God IS is maximal coherence. God is not in a location; God is the source of all coherence (the Logos). Being "with God" means being in coherent relationship with the source of coherence—which IS high Φ. The "place" language is metaphorical; the reality is informational. Heaven as high-Φ attractor is more precise than heaven as somewhere above the clouds.

Objection: "Some saints seem incomplete at death"
"People die mid-sanctification. Are they not in heaven?"
Response

The ASYMPTOTE is infinite time. Sanctification continues eschatologically. The soul at death may be at Φ = Φ₀ < Φ_max, but the dynamics pull it toward Φ_max. Purgatory (in some traditions) is this approach phase. The key is the DIRECTION and ATTRACTOR, not the state at the moment of death.

Objection: "Heaven might be static, not maximal"
"Maybe heaven is just eternal rest, not maximal anything."
Response

"Rest" in the beatific vision is not stasis but perfect activity—full engagement without strain. Maximal coherence means no wasted motion, no internal conflict, perfect harmony. This IS rest in the deepest sense. The attractor is dynamic equilibrium, not frozen stillness.

Objection: "What about different levels in heaven?"
"Dante and others describe gradations of heaven. Does everyone reach the same Φ?"
Response

Gradations may reflect the APPROACH rate or the MANNER of coherence, not the ultimate attractor. Or: different souls may have different "carrying capacities" for coherence (different maximum Φ given their structure). But all σ = +1 souls move toward their respective maxima. The attractor is individual maximum, not universal uniform.

Objection: "This makes heaven predictable"
"If it's just approaching an attractor, where's the mystery?"
Response

The mystery is in the CONTENT of maximal coherence, not its structure. Saying heaven is high-Φ attractor is like saying music is organized sound—true, but not a reduction. The equations describe the dynamics; they don't exhaust the experience. Knowing a sunset is wavelength combinations doesn't make it less beautiful.

Physics Layer

Attractor Dynamics

Definition: An attractor A is a set toward which a dynamical system evolves.

Properties:

  • Invariant: Once in A, stay in A
  • Attractive: Nearby states move toward A
  • Minimal: No proper subset is attractive

Heaven as attractor:

  • Invariant: Souls in heaven stay in heaven
  • Attractive: σ = +1 souls are drawn toward heaven
  • Minimal: Heaven is the unique maximal coherence state
Mathematical Layer

Formal Statement

Theorem ([[098_T12.1_Heaven-As-High-Phi-Attractor|T12.1]]): For soul states with σ = +1:

\lim_{t \to \infty} \Phi(t) = \Phi_{max}

Proof sketch:

1. From destiny equation: dΦ/dt > 0 when 0 < Φ < Φ_max and σ = +1

2. Φ is bounded above by Φ_max

3. Monotone bounded sequence converges

4. The only stable fixed point is Φ_max

5. ∴ Φ(t) → Φ_max ∎

Defeat Conditions

To Falsify This

  1. **Show +1 states decohere** — Demonstrate that σ = +1 souls decay to low coherence over time
  2. **Find stable medium-Φ heaven** — Show the +1 attractor is not maximal but intermediate
  3. **Prove no eschatological attractor** — Show souls wander in state space without converging
  4. **Demonstrate non-monotonic approach** — Show +1 souls oscillate rather than asymptote
Cross-Domain Mappings
Domain Mapping
Physics Attractors / Phase Space
Theology Eschatology
Consciousness Death attractor
Quantum Quantum Zeno
Scripture Matthew 25:46 eternal
Evidence Dynamical systems
Information Info flow dynamics

Bridge Count: 7