Galileo's Ship and the Relativity Principle

Fuente: arXiv
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Main Author: Ramírez, S. Murgueitio
Format: Preprint
Published: 2024
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author Ramírez, S. Murgueitio
author_facet Ramírez, S. Murgueitio
contents It is widely acknowledged that the Galilean Relativity Principle, according to which the laws of classical systems are the same in all inertial frames in relative motion, has played an important role in the development of modern physics. It is also commonly believed that this principle holds the key to answering why, for example, we do not notice the orbital velocity of the Earth as we go about our day. And yet, I argue in this paper that the precise content of this principle is ambiguous: standard presentations fail to distinguish between two principles that are ultimately inequivalent, the "External Galilean Relativity Principle" (EGRP) and the "Internal Galilean Relativity Principle" (IGRP). I demonstrate that EGRP and IGRP play distinct roles in physics and that many classical systems that satisfy IGRP fail to satisfy EGRP. I further show that the Relativity Principle introduced by Einstein in 1905-which is not restricted to classical systems-also leads to two inequivalent principles. I conclude by noting that the phenomenon originally captured by Galileo's famous ship passage is much more general than contemporary discussions in the philosophy of symmetries suggest.
format Preprint
id arxiv_https___arxiv_org_abs_2408_06439
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Galileo's Ship and the Relativity Principle
Ramírez, S. Murgueitio
History and Philosophy of Physics
Physics Education
It is widely acknowledged that the Galilean Relativity Principle, according to which the laws of classical systems are the same in all inertial frames in relative motion, has played an important role in the development of modern physics. It is also commonly believed that this principle holds the key to answering why, for example, we do not notice the orbital velocity of the Earth as we go about our day. And yet, I argue in this paper that the precise content of this principle is ambiguous: standard presentations fail to distinguish between two principles that are ultimately inequivalent, the "External Galilean Relativity Principle" (EGRP) and the "Internal Galilean Relativity Principle" (IGRP). I demonstrate that EGRP and IGRP play distinct roles in physics and that many classical systems that satisfy IGRP fail to satisfy EGRP. I further show that the Relativity Principle introduced by Einstein in 1905-which is not restricted to classical systems-also leads to two inequivalent principles. I conclude by noting that the phenomenon originally captured by Galileo's famous ship passage is much more general than contemporary discussions in the philosophy of symmetries suggest.
title Galileo's Ship and the Relativity Principle
topic History and Philosophy of Physics
Physics Education
url https://arxiv.org/abs/2408.06439