Physics is simple only when analyzed locally

Fuente: arXiv
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Auteur principal: Ruggiero, Matteo Luca
Format: Preprint
Publié: 2025
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author Ruggiero, Matteo Luca
author_facet Ruggiero, Matteo Luca
contents The definition of a reference frame in General Relativity is achieved through the construction of a congruence of time-like world-lines. In this framework, splitting techniques enable us to express physical phenomena in analogy with Special Relativity, thereby realizing the local description in terms of Minkowski spacetime in accordance with the equivalence principle. This approach holds promise for elucidating the foundational principles of relativistic gravitational physics, as it illustrates how its 4-dimensional mathematical model manifests in practical measurement processes conducted in both space and time. In addition, we show how, within this framework, the Newtonian gravitational force naturally emerges as an effect of the non-geodesic path of the reference frame.
format Preprint
id arxiv_https___arxiv_org_abs_2511_07447
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Physics is simple only when analyzed locally
Ruggiero, Matteo Luca
General Physics
The definition of a reference frame in General Relativity is achieved through the construction of a congruence of time-like world-lines. In this framework, splitting techniques enable us to express physical phenomena in analogy with Special Relativity, thereby realizing the local description in terms of Minkowski spacetime in accordance with the equivalence principle. This approach holds promise for elucidating the foundational principles of relativistic gravitational physics, as it illustrates how its 4-dimensional mathematical model manifests in practical measurement processes conducted in both space and time. In addition, we show how, within this framework, the Newtonian gravitational force naturally emerges as an effect of the non-geodesic path of the reference frame.
title Physics is simple only when analyzed locally
topic General Physics
url https://arxiv.org/abs/2511.07447