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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 |
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| **An emergent quantum-gravity framework reconciling general relativity and quantum mechanics, with cosmological applications.** |
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| Author: **Yue Xiangrui (岳祥瑞)** · Independent Researcher · April 2026 (v2 formal reconstruction) |
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| ## What this theory proposes |
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| 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: |
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| $$\Delta S = S_{BH} - S_{vN}, \qquad \eta = \frac{\Delta S}{S_{BH}} = 1 - \frac{S_{vN}}{S_{BH}}$$ |
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| From four axioms (holography, unitarity, thermodynamics, equivalence principle) the framework derives **without free parameters**: |
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| - 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 |
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| 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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| ## Files |
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| | File | Language | Format | |
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| | `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 | |
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| Equations and numbering are identical across the three editions. |
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| ## Citation |
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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](https://doi.org/10.5281/zenodo.22081616). CC BY-NC-SA 4.0. |
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| **DOI:** [10.5281/zenodo.22081616](https://doi.org/10.5281/zenodo.22081616) |
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| Original concept © Yue Xiangrui, April 2026. License: **CC BY-NC-SA 4.0**. |
| ## Contact |
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| - QQ: 406218898 |
| - WeChat: a13546076748 |
| - Google Email: yuexiangruiyue@gmail.com |
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