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| Natura: | Recurso digital |
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Zenodo
2025
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| Accesso online: | https://doi.org/10.5281/zenodo.17199889 |
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Sommario:
- <p> One of the central motivations for extending General Relativity is its inability to explain the “missing mass” of galaxies and clusters without invoking an as-yet undetected form of matter. Observations of flat rotation curves, strong and weak gravitational lensing, the Bullet Cluster, and the Cosmic Microwave Background all suggest that either (i) vast amounts of non-baryonic “dark matter” are present, or (ii) our description of gravity breaks down on large, low-acceleration scales.</p> <p>The Process–Entropy Model (PEM) takes the second path. It posits that spacetime curvature and the gravitational “pull” both arise from a universal entropic field Ψ. High-entropy, diffuse configurations of Ψ correspond to smooth spacetime, while low-entropy concentrations of Ψ correspond to masses and potential wells. In this view, the extra acceleration attributed to dark matter is not produced by invisible particles but by “hidden gradients” of Ψ generated by the nonlinear dynamics of the field itself.</p> <p>This appendix formalizes that idea. We first write the PEM field equations in a form directly comparable to Einstein’s, showing how an additional stress–energy-like tensor Sμν[Ψ] appears alongside the usual matter tensor. We then derive the static, weak-field limit to obtain a modified Poisson equation. This equation reduces to Newtonian gravity when accelerations are high but naturally produces MOND-like behaviour and flat rotation curves in the low-acceleration regime without requiring any dark-matter particles. Finally, we outline how the same framework yields lensing deflections and “hidden” field gradients that map onto the inferred mass distributions of galaxies and clusters.</p>