"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