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| Главный автор: | |
|---|---|
| Формат: | Recurso digital |
| Язык: | английский |
| Опубликовано: |
Zenodo
2025
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| Предметы: | |
| Online-ссылка: | https://doi.org/10.5281/zenodo.18050879 |
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- <p> </p> <p>The accelerated expansion of the Universe is commonly attributed to an unknown vacuum energy component termed Dark Energy. This paper proposes an alternative gravitational framework in which gravity itself possesses dual dynamical modes: a contractive (attractive) mode and an expansive (repulsive) mode of an elastic space field.</p> <p>We interpret cosmic expansion through a <strong>"Tug of War" mechanism</strong>: mass causes the space field to "fold" (generating attraction), while vacuum regions allow the field to "stretch" (generating repulsion). This framework derives a <strong>density-regulated gravitational force</strong> that naturally explains void-dominated cosmic acceleration, the stability of galaxies, and the geometric origin of spectral shifts without invoking a separate Dark Energy fluid.</p> <p><strong>Key Findings</strong></p> <ul> <li> <p><strong>Gravitational Duality:</strong> Gravity is redefined as a dual-mode response of the space field. High-density regions suppress repulsion (screening), while low-density voids allow it to dominate.</p> </li> <li> <p><strong>The "Tug of War" Mechanism:</strong> Mass tells space where to fold; emptiness tells space where to stretch. This explains why repulsion is absent in the Solar System but dominant in Cosmic Voids.</p> </li> <li> <p><strong>Critical Distance (<span>$r_c$</span>):</strong> A mathematically defined threshold (<span>$r_c = \sqrt[3]{GM/k}$</span>) separates bound systems (like the Milky Way) from expanding systems.</p> </li> <li> <p><strong>No Dark Energy Required:</strong> The acceleration predicted by the standard <span>$\Lambda$</span>CDM model is shown to be mathematically equivalent to the intrinsic repulsive mode of the space field derived in this framework.</p> </li> </ul> <p>Mathematical Framework</p> <p>The model is built upon a modified Poisson equation for the gravitational potential $\Phi$:</p> <p> </p> <div> <div>$$\nabla^2 \Phi = 4\pi G \rho - 3k \left( \frac{\rho_c}{\rho + \rho_c} \right)^{\!\gamma}$$</div> </div> <p>This field equation yields a combined force law that satisfies the Equivalence Principle:</p> <p> </p> <div> <div>$$F_{net} = -\frac{GMm}{r^2} + m \cdot k \cdot r \cdot \xi(\rho)$$</div> </div> <p> </p> <p>Where $\xi(\rho)$ is the environmental screening factor that ensures gravitational repulsion is active only at large, low-density scales.</p>