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Time Regained: Volume 1: Symmetry and Evolution in Classical Mechanics

Online ISBN:
9780191861178
Print ISBN:
9780198822066
Publisher:
Oxford University Press
Book

Time Regained: Volume 1: Symmetry and Evolution in Classical Mechanics

Sean Gryb,
Sean Gryb
Lecturer, University of Groningen
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Karim Thébault
Karim Thébault
Associate Professor in Philosophy of Science, University of Bristol
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Published online:
18 January 2024
Published in print:
24 November 2023
Online ISBN:
9780191861178
Print ISBN:
9780198822066
Publisher:
Oxford University Press

Abstract

This book is the first volume of a two part project articulating a new approach to the analysis of time in modern physical theory. Our particular concern is with the Problem of Time as it occurs in theories which feature dynamical laws that are invariant under time reparametrization symmetries. The class of such theories includes both simple mechanical theories and the general theory of relativity, and prospective theories of quantum gravity. Our goal is to provide a solution to the problem of time such that determinate time ordering structure can be reconciled with reparametrization symmetry. The present volume is focused on the context of classical mechanical theory within analytical formulations. This restricted context will allow us to develop a new framework for the analysis of symmetry and structure in physical theory and provide a fully general and explicit resolution of the classical mechanical problem of time.

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