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The curvature argument.

Thomas William Barrett1

  • 1Department of Philosophy, UC Santa Barbara, United States of America.

Studies in History and Philosophy of Science
|May 17, 2021
PubMed
Summary
This summary is machine-generated.

This paper critiques Dasgupta's "curvature argument," finding it unsound for challenging Galilean spacetime in classical mechanics. It explores conditions for symmetry arguments to invalidate spacetimes for motion theories.

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Area of Science:

  • * Classical Mechanics
  • * Spacetime Theory
  • * Philosophy of Physics

Background:

  • * Dasgupta (2015) proposed the 'curvature argument' questioning Galilean spacetime's suitability for classical motion.
  • * Classical mechanics traditionally utilizes Galilean spacetime.
  • * The suitability of different spacetimes for physical theories is a key debate.

Purpose of the Study:

  • * To critically evaluate the soundness of Dasgupta's 'curvature argument'.
  • * To determine if Galilean spacetime is indeed an unsuitable setting for classical motion.
  • * To analyze the criteria for 'symmetry arguments' in spacetime invalidation.

Main Methods:

  • * Philosophical analysis of Dasgupta's 'curvature argument'.
  • * Logical examination of the relationship between spacetime structure and classical motion.
  • * Comparative analysis of 'curvature arguments' and 'symmetry arguments'.

Main Results:

  • * The paper concludes that Dasgupta's 'curvature argument' is not sound.
  • * Galilean spacetime remains a viable setting for classical theories of motion based on this analysis.
  • * Identified specific conditions under which symmetry arguments effectively challenge spacetime suitability.

Conclusions:

  • * The 'curvature argument' fails to demonstrate the inadequacy of Galilean spacetime for classical motion.
  • * The discussion clarifies the role and limitations of symmetry-based arguments in spacetime analysis.
  • * Further research may explore alternative arguments or refine existing ones for evaluating spacetimes.