Structured Vacuum Theory in Palatini Form: Dynamics from Non-Metricity and Multiscale Consistency
Year: 2025
Type: article
Abstract: 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 $\Gamma^\lambda{}{\mu\nu}$. Unlike General Relativity, where vacuum dynamics are trivial, this framework employs non-metricity $Q{\alpha\mu\nu}$ as the central dynamical entity, enabling genuine propagating degrees of freedom in the spacetime geometry.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.A falsifiable principle of multiscale physical consistency 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.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.
Author: ACOSTA PADILLA, ALFREDO LUIS
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7083498613
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