Gravity emerges macroscopically from the difference between the Bekenstein–Hawking holographic entropy ceiling of a spacetime region and the von Neumann entropy of its quantum interior:
From four axioms (holography, unitarity, thermodynamics, equivalence principle) the framework derives without free parameters:
Entropic force law $F = \eta, GMm/R^{2}$ — Newton recovered exactly at $\eta \to 1$
Modified field equation $G_{\mu\nu} = \eta,(8\pi G/c^{4}),T_{\mu\nu}$
Singularity avoidance ($\eta \to 0$ at Planckian saturation)
Nucleon force hierarchy $\sim 10^{-38}$ reproduced
Galaxy rotation-curve flatness, Bullet-Cluster gravity–baryon separation, vacuum-energy suppression (~120 orders), late-time self-acceleration — no dark particles, no cosmological constant
Four exclusive falsifiable predictions (P1–P4) are stated, including local-type primordial non-Gaussianity $f_{NL} = 2!-!5$. All results are labeled Theorem / Proposition (+ auxiliary hypothesis) / Conjecture so the empirical exposure is explicit.
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Yue Xiangrui, "Coupling Entropy Difference Gravity: An Emergent Quantum-Gravity Framework Reconciling General Relativity and Quantum Mechanics, with Cosmological Applications," preprint v2, 2026. DOI: 10.5281/zenodo.22081616. CC BY-NC-SA 4.0.
