The Consistency Functional K: Variational Unification of QM, Thermodynamics, GR

[westurner]

https://zenodo.org/records/17411038

[westurner]

"The Consistency Functional K: Variational Unification of Quantum Mechanics, Thermodynamics, and General Relativity" (2025) https://doi.org/10.5281/zenodo.17405041

From https://philarchive.org/archive/SABTCF-3 2025-10-16 draft :

> 9.6. The Unified Table of Correspondence

  Physical Domain
    Consistency Condition
    Emergent Law
  Quantum Mechanics
    \delta_\rho \mathcal{K} = 0
    Unitarity, Born Rule
  Thermodynamics
    CPTP monotonicity
    Second Law, Entropy
  Relativity
    \delta_\rho \mathcal{K} = 0 
    Einstein Equations
  Gauge Theory
    Symmetry Invariance
    Yang–Mills Equations
  Cosmology
    Global extremum of \mathcal{K}
    Friedmann Dynamics

IIUC, inferring due to a minor LaTeX table error:

  Causality
    I_{\rho}(A : C \mid B) = 0
    Quantum Conditional Mutual Information (QCMI)

> 9.7. The Fundamental Equation of Reality

> All of the above can be compactly expressed by the defining relation:

  \delta\mathcal{K}(\rho, g) = 0

[westurner → westurner]

From https://news.ycombinator.com/item?id=45606837 :

> "The Self-Consistent Coherence-Maximizing Universe: Complete Derivation of the Standard Model and General Relativity from Mathematical Self-Consistency" (2025) https://www.academia.edu/144466150/The_Self_Consistent_Coher... :

> Abstract: We derive the complete structure of fundamental physics from a single principle: Quantum coherence maximization under self-consistency constraints. [...]