Version 19 — Release Notes This version introduces rigorous mathematical reformulations throughout the manuscript, replacing narrative-level arguments with derivations grounded in established theoretical physics. Major changes: (1) Collapse cost formula reformulated. The thermodynamic cost of quantum collapse now follows the Sagawa–Ueda framework, incorporating measurement back-action and decoherence. The total cost includes three explicit components (erasure, decoherence, and correlation), yielding a factor-of-2 enhancement over the naive Landauer bound for pure states (Eq. 1). This constitutes a new testable prediction (Prediction 4). (2) Gravity derivation via entanglement equilibrium. Einstein's field equations are now derived through two complementary routes: an entanglement entropy action principle (Section 4. 2) and the Jacobson thermodynamic route via local Rindler horizons (Section 4. 3). Unlike previous versions, matter enters through a proper variational principle rather than being inserted independently. (3) Gravitational subsidy quantified via phase-space reduction. The claim that gravity reduces collapse cost is now formulated using explicit phase-space volume reduction with NFW dark matter profiles. The subsidy is quantified as ΔD = log₂ (Ωfree/Ωgrav), with numerical estimates yielding ~30N bits per particle for a Milky Way-like halo (Section 3. 3, 6. 3). (4) Optimal subsidy fraction derived from optimization theory. The 85–98% structural subsidy pattern is now analytically derived as f* = 1 − γ/μ (Eq. 21), explaining both why the pattern appears in certain systems and why it should not appear in others (Section 6. 1). (5) Five falsifiable predictions listed with assessment of current experimental feasibility (Section 6. 5). (6) Limitations section expanded with explicit discussion of retroactive parameter estimation, classical phase-space assumptions, and alternative explanations (Section 6. 6).
Jordi Martínez Serra (Mon,) studied this question.