Murgueitio Ramírez, Sebastián (2023) On Symmetries and Springs. [Preprint]

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Abstract

Imagine that we are on a train playing with some mechanical systems. Why can’t we detect any differences in their behavior when the train is parked versus when it is moving uniformly? The standard answer is that boosts are symmetries of Newtonian systems. In this paper, I use the case of a spring to argue that this answer is problematic because symmetries are neither sufficient nor necessary for preserving its behavior. I also develop a new answer according to which boosts preserve the relational properties on which the behavior of a system depends, even when they are not symmetries.

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Item Type:	Preprint
Creators:	Creators Email ORCID Murgueitio Ramírez, Sebastián smurguei@nd.edu 0000-0003-0035-0150
Keywords:	Dynamical symmetry boost differential equations Galileo' ship Newtonian mechanics classic harmonic oscillator
Subjects:	Specific Sciences > Physics > Classical Physics Specific Sciences > Physics Specific Sciences > Physics > Symmetries/Invariances
Depositing User:	Dr. Sebastián Murgueitio Ramírez
Date Deposited:	29 Nov 2023 02:32
Last Modified:	29 Nov 2023 02:32
Item ID:	22803
Subjects:	Specific Sciences > Physics > Classical Physics Specific Sciences > Physics Specific Sciences > Physics > Symmetries/Invariances
Date:	27 November 2023
URI:	https://philsci-archive.pitt.edu/id/eprint/22803

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