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| Главный автор: | |
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| Формат: | Recurso digital |
| Язык: | английский |
| Опубликовано: |
Zenodo
2026
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| Предметы: | |
| Online-ссылка: | https://doi.org/10.5281/zenodo.18170046 |
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- <p>Abstract:</p> <p>The Gravitational Constant ($G \approx 6.674 \times 10^{-11}$ m$^3$kg$^{-1}$s$^{-2}$) is the least precise fundamental constant in physics. The Standard Model offers no explanation for its extreme weakness relative to other forces (The Hierarchy Problem), nor does it provide a way to derive its value from first principles.</p> <p>This paper presents the final proof of the <strong>SDRIS Unification Trilogy</strong> (Papers 111–113). We demonstrate that Gravitation is not a fundamental force, but the <strong>entropic elasticity</strong> (Bulk Modulus) of the 26-dimensional vacuum lattice.</p> <p>By modeling the gravitational interaction as the "dimensional dilution" of information flux from the <strong>Bulk (<span>$N=408$</span>)</strong>through the <strong>String-Anchor (<span>$N=26$</span>)</strong> to the physical <strong>Projection (<span>$N=3$</span>)</strong>, we derive the exact geometric scaling exponent:</p> <div> <div>$$E_{grav} = \frac{408}{\sqrt{5}} - \frac{1}{26} - \frac{1}{288} \approx 182.421$$</div> <div> </div> <div> <p>Where:</p> <ul> <li> <p><strong><span>$408/\sqrt{5}$</span>:</strong> The Golden Geodesic through the bulk (Fibonacci dilation).</p> </li> <li> <p><strong><span>$-1/26$</span>:</strong> The topological resistance of the Bosonic String dimensions.</p> </li> <li> <p><strong><span>$-1/288$</span>:</strong> The torsion correction due to particle spin (<span>$1/2F_{12}$</span>).</p> </li> </ul> <p>Applying this exponent to the quantum scale (<span>$\hbar, c, m_p$</span>) yields a theoretical value for <span>$G$</span>:</p> <div> <div>$$G_{SDRIS} = 6.67440 \times 10^{-11} \, \text{m}^3\text{kg}^{-1}\text{s}^{-2}$$</div> </div> <p>This prediction matches the <strong>CODATA 2018</strong> recommended value (<span>$6.67430 \times 10^{-11}$</span>) with a precision of <strong>99.9985%</strong>. This result suggests that the hierarchy of forces is a deterministic consequence of the vacuum's recursive topology.</p> <p><strong>Supplementary Material:</strong></p> <p>This entry includes the SDRIS Gravity Calculator (v2.0) (Python Jupyter Notebook), which performs the high-precision numerical derivation of G and validates the geometric exponent against the CODATA benchmarks.</p> </div> </div>