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Theory of Gravity as Theory of Local Inertial Frames — arXiv:2609.22354

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.22354
License (as archived): CC0-1.0
Archived: 2026-10-09T23:57:38.129Z
SHA-256 of the archived text: 232568c9a6a87322442ee795fb73b2f18e8b0cc884cc990eb667277eb578ddb5
Stable URL of this page: https://metraipolis.com/documento/dc_dbaff841cb35

How to cite

Theory of Gravity as Theory of Local Inertial Frames — arXiv:2609.22354 — arXiv (en), https://arxiv.org/abs/2609.22354 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_dbaff841cb35 (Metraipolis archive dc_dbaff841cb35, sha256 232568c9a6a87322442ee795fb73b2f18e8b0cc884cc990eb667277eb578ddb5)

BibTeX

@misc{dcdbaff841cb35,
  title = {Theory of Gravity as Theory of Local Inertial Frames — arXiv:2609.22354},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.22354},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_dbaff841cb35; sha256 232568c9a6a87322442ee795fb73b2f18e8b0cc884cc990eb667277eb578ddb5},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.22354. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

It is proved that the affine theory of the full Riemann tensor constitutes the extended theory of gravity. The fundamental object here is a spacetime symmetric connection. Its physical interpretation is that of a field of local inertial frames. In this approach, gravity arises, in a natural way, as a local version of Newton's First Law. A variational formulation of the theory is presented, based on the results introduced in the article co-authored by the present author and one of the supervisors. The general framework is supported by several examples. A central result of the dissertation is the transition from the affine picture to the metric picture. A simplified version of this procedure -- valid for a specific class of Lagrangians. It was proved there that the non-metricity in the affine picture can be interpreted as a matter field in the metric picture. This is precisely Hermann Weyl's interpretation of electromagnetism. Here, the transformation from the full Riemann tensor theory to the conventional metric theory is examined in full generality for the first time and illustrated using the previously introduced examples.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-22 in gr-qc).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc).
Pagina del lavoro: https://arxiv.org/abs/2609.22354 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-09T22:51:15.726Z dalla pagina https://arxiv.org/catchup/gr-qc/2026-09-22?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).