Spontaneous Symmetry Breaking and the Vacuum Displacement Principle: From Galactic Scales to Cosmic Fine-Tuning
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918465848213504 |
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| author | Maier, Rodrigo |
| author_facet | Maier, Rodrigo |
| contents | We present a modified gravity framework where the vacuum is modeled as a Higgs-type scalar field $χ$ undergoing spontaneous symmetry breaking. By introducing a coupling $Q^ν= αT \nabla^νχ$, we formalize a displacement principle where baryonic matter acts as an impurity in the vacuum substrate. This interaction leads to a restorative buoyancy force that modifies the geodesic equation and violates the Weak Equivalence Principle. We show that this mechanism naturally recovers the Schwarzschild metric in the vacuum limit while providing a Yukawa-corrected Newtonian potential in the presence of matter. This correction offers a dynamical explanation for flat galactic rotation curves and a tracking mechanism for the cosmological constant, potentially resolving the coincidence and fine-tuning problems without the need of dark sectors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_21050 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spontaneous Symmetry Breaking and the Vacuum Displacement Principle: From Galactic Scales to Cosmic Fine-Tuning Maier, Rodrigo General Relativity and Quantum Cosmology High Energy Physics - Theory We present a modified gravity framework where the vacuum is modeled as a Higgs-type scalar field $χ$ undergoing spontaneous symmetry breaking. By introducing a coupling $Q^ν= αT \nabla^νχ$, we formalize a displacement principle where baryonic matter acts as an impurity in the vacuum substrate. This interaction leads to a restorative buoyancy force that modifies the geodesic equation and violates the Weak Equivalence Principle. We show that this mechanism naturally recovers the Schwarzschild metric in the vacuum limit while providing a Yukawa-corrected Newtonian potential in the presence of matter. This correction offers a dynamical explanation for flat galactic rotation curves and a tracking mechanism for the cosmological constant, potentially resolving the coincidence and fine-tuning problems without the need of dark sectors. |
| title | Spontaneous Symmetry Breaking and the Vacuum Displacement Principle: From Galactic Scales to Cosmic Fine-Tuning |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.21050 |