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license: cc-by-nc-sa-4.0
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# 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:

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

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](https://doi.org/10.5281/zenodo.22081616). CC BY-NC-SA 4.0.

**DOI:** [10.5281/zenodo.22081616](https://doi.org/10.5281/zenodo.22081616)

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

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