On the Geometric Meaning of General Relativity and the Foundations of Newtonian Cosmology
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909849537740800 |
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| author | de Haro, Jaume Elizalde, Emilio |
| author_facet | de Haro, Jaume Elizalde, Emilio |
| contents | The geometric foundations of General Relativity are revisited, with particular attention to its gauge invariance, as a key to understanding the true nature of spacetime. Beyond the common image of spacetime as a deformable 'fabric' filling the Universe, curvature is interpreted as the dynamic interplay between matter and interacting fields; a view already emphasized by Einstein and Weyl, but sometimes overlooked in the literature. Building on these tools, a Newtonian framework is reconstructed that captures essential aspects of cosmology, showing how classical intuition can coexist with modern geometric insights. This perspective shifts the focus from substance to relationships, offering a fresh magnifying glass through which to reinterpret gravitational dynamics and the large-scale structure of the Universe. The similarities of this approach with other recent, more ambitious ones carried out at the quantum level are quite remarkable. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_13934 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Geometric Meaning of General Relativity and the Foundations of Newtonian Cosmology de Haro, Jaume Elizalde, Emilio General Relativity and Quantum Cosmology The geometric foundations of General Relativity are revisited, with particular attention to its gauge invariance, as a key to understanding the true nature of spacetime. Beyond the common image of spacetime as a deformable 'fabric' filling the Universe, curvature is interpreted as the dynamic interplay between matter and interacting fields; a view already emphasized by Einstein and Weyl, but sometimes overlooked in the literature. Building on these tools, a Newtonian framework is reconstructed that captures essential aspects of cosmology, showing how classical intuition can coexist with modern geometric insights. This perspective shifts the focus from substance to relationships, offering a fresh magnifying glass through which to reinterpret gravitational dynamics and the large-scale structure of the Universe. The similarities of this approach with other recent, more ambitious ones carried out at the quantum level are quite remarkable. |
| title | On the Geometric Meaning of General Relativity and the Foundations of Newtonian Cosmology |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2510.13934 |