AngelWarmSmile123/coupling-entropy-difference-gravity

Coupling Entropy Difference Gravity (CEDG) / 耦合熵差引力 / 結合エントロピー差重力

An emergent quantum-gravity framework reconciling general relativity and quantum mechanics, with cosmological applications.

Author: Yue Xiangrui (岳祥瑞) · Independent Researcher · April 2026 (v2 formal reconstruction)

What this theory proposes

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:

$$\mathrm{\Delta }S=S_{BH}-S_{vN},\eta =\frac{\mathrm{\Delta }S}{S_{BH}}=1-\frac{S_{vN}}{S_{BH}}\backslash Delta\; S\; =\; S\_\{BH\}\; -\; S\_\{vN\},\; \backslash qquad\; \backslash eta\; =\; \backslash frac\{\backslash Delta\; S\}\{S\_\{BH\}\}\; =\; 1\; -\; \backslash frac\{S\_\{vN\}\}\{S\_\{BH\}\}$$

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.

Files

File	Language	Format
CEDG_paper_EN.pdf	English	PDF (7 pp.)
CEDG_paper_ZH.pdf	简体中文	PDF
CEDG_paper_JA.pdf	日本語	PDF
cedg.en.md / cedg.zh-CN.md / cedg.ja.md	full sources	Markdown + LaTeX

Equations and numbering are identical across the three editions.

Citation

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.

DOI: 10.5281/zenodo.22081616

Original concept © Yue Xiangrui, April 2026. License: CC BY-NC-SA 4.0.

Contact

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