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George Jaroszkiewicz

Print publication date: 2016

Print ISBN-13: 9780198718062

Published to Oxford Scholarship Online: January 2016

DOI: 10.1093/acprof:oso/9780198718062.001.0001

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Absolute time

Absolute time

Chapter:
(p.133) 14 Absolute time
Source:
Images of Time
Author(s):

George Jaroszkiewicz

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198718062.003.0014

This chapter discusses Newton’s concept of absolute time and its use in classical mechanics. It defines clocks and our freedom to change them, that is, reparametrization of time. The chapter goes on to discuss Aristotelian and Galilean–Newtonian space-times. It explains how Newton’s first law of motion is required to correlate successive copies of space. It discusses the differences between the Newtonian paradigm of motion and the use of Lagrangians in the Calculus of Variations that gives the Euler–Lagrange equations of motion in advanced mechanics. The chapter concludes with a discussion of phase space, Hamiltonians, Poisson brackets, and the role of the Hamiltonian as a generator of translation in time.

Keywords:   absolute time, Aristotelian space-time, Galilean–Newtonian space-time, Lagrangians, Calculus of Variations, Euler-Lagrange equations, phase space, Hamiltonians, Poisson brackets, generators, time translation

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