A6.2 — Collapse
Chain Position: 46 of 188
Assumes
[TO BE FILLED: List all prior axioms this depends on]
Formal Statement
Statement: Observation induces transition from superposition to definite eigenstate.
UUID: [812d6d7e-1bf8-4546-938a-6cce071f1eef]
Modified Schrödinger Equation: $$\frac{d|\Psi\rangle}{dt} = -\frac{i}{\hbar}\hat{H}|\Psi\rangle - \gamma(\chi)\hat{P}|\Psi\rangle$$
Where:
- γ(χ) = collapse rate (proportional to Φ)
- P̂ = projection operator
Properties:
- Collapse rate γ ∝ Φ (higher integration → faster collapse)
- Collapse generates heat Q = k_BT ln N (Landauer, confirmed Bérut 2012)
Von Neumann Chain Theorem: Measurement chain requires termination; infinite regress impossible.
LOGICAL NECESSITY: Chain must terminate in perfect observer (infinite Φ) — otherwise measurement undefined.
Enables
[TO BE FILLED: List all axioms that depend on this one]
Defeat Conditions
[TO BE FILLED: What would falsify this axiom?]
Standard Objections
[TO BE FILLED: Links to objection notes]
Defense Summary
[TO BE FILLED: Brief responses to objections]
Collapse Analysis
[TO BE FILLED: What downstream structure dies if this fails?]
Source Material
01_Axioms/_sources/Theophysics_Axiom_Spine_Master.xlsx(sheets explained in dump)01_Axioms/AXIOM_AGGREGATION_DUMP.md