Structured Vacuum Theory in Palatini Form: Dynamics from Non-Metricity and Multiscale Consistency
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2025
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| author | ACOSTA PADILLA, ALFREDO LUIS |
| author_facet | ACOSTA PADILLA, ALFREDO LUIS |
| contents | <p>This work develops a metric-affine theory of gravity in which the vacuum possesses intrinsic dynamical structure, modelled by an independent symmetric metric tensor $\Xi_{\mu\nu}$ and affine connection $\Gamma^\lambda{}<em>{\mu\nu}$. Unlike General Relativity, where vacuum dynamics are trivial, this framework employs non-metricity $Q</em>{\alpha\mu\nu}$ as the central dynamical entity, enabling genuine propagating degrees of freedom in the spacetime geometry.<br>A quadratic, parity-even action in non-metricity is constructed and the full field equations are derived. The healthy parameter region, identified via linear analysis, guarantees absence of ghosts and luminal propagation for gravitational waves.<br>A falsifiable principle of <strong>multiscale physical consistency</strong> is introduced: the same solution must explain galactic rotation curves and gravitational lensing, while remaining consistent with Solar-System and binary pulsar tests—without retuning parameters.<br>This establishes a physically unified framework where dark matter and dark energy phenomena emerge naturally from vacuum dynamics, rather than from unseen components. Full technical details, weak-field limits, and observational tests are included.</p> <p> </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17211427 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
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| spellingShingle | Structured Vacuum Theory in Palatini Form: Dynamics from Non-Metricity and Multiscale Consistency ACOSTA PADILLA, ALFREDO LUIS metric-affine gravity, non-metricity, Palatini formalism, gravitational waves, post-Newtonian constraints, vacuum structure, galactic dynamics, gravitational lensing, cosmological constant, unified dark sector, field equations, falsifiability, solar system tests <p>This work develops a metric-affine theory of gravity in which the vacuum possesses intrinsic dynamical structure, modelled by an independent symmetric metric tensor $\Xi_{\mu\nu}$ and affine connection $\Gamma^\lambda{}<em>{\mu\nu}$. Unlike General Relativity, where vacuum dynamics are trivial, this framework employs non-metricity $Q</em>{\alpha\mu\nu}$ as the central dynamical entity, enabling genuine propagating degrees of freedom in the spacetime geometry.<br>A quadratic, parity-even action in non-metricity is constructed and the full field equations are derived. The healthy parameter region, identified via linear analysis, guarantees absence of ghosts and luminal propagation for gravitational waves.<br>A falsifiable principle of <strong>multiscale physical consistency</strong> is introduced: the same solution must explain galactic rotation curves and gravitational lensing, while remaining consistent with Solar-System and binary pulsar tests—without retuning parameters.<br>This establishes a physically unified framework where dark matter and dark energy phenomena emerge naturally from vacuum dynamics, rather than from unseen components. Full technical details, weak-field limits, and observational tests are included.</p> <p> </p> |
| title | Structured Vacuum Theory in Palatini Form: Dynamics from Non-Metricity and Multiscale Consistency |
| topic | metric-affine gravity, non-metricity, Palatini formalism, gravitational waves, post-Newtonian constraints, vacuum structure, galactic dynamics, gravitational lensing, cosmological constant, unified dark sector, field equations, falsifiability, solar system tests |
| url | https://doi.org/10.5281/zenodo.17211427 |