Calling time on digital clocks:Cosmology and Time: Philosophers and Scientists in Dialogue

Sloan, David (2015) Calling time on digital clocks:Cosmology and Time: Philosophers and Scientists in Dialogue. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 52. pp. 62-68. ISSN 1355-2198

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Abstract

I explore two logical possibilities for the discretization of time, termed “instantaneous” and “smeared”. These are found by discretizing a continuous theory, and the resulting structure of configuration space and velocities are described. It is shown that results known in numerical methods for integration of dynamical systems preclude the existence of a system with fixed discrete time step which conserves fundamental charges universally, and a method of avoidance of this “no-go” theorem is constructed. Finally the implications of discrete time upon quantum cosmology are discussed.

Item Type:
Journal Article
Journal or Publication Title:
Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/1200/1202
Subjects:
?? DIGITAL TIMECLOCKSQUANTUM MECHANICSCOSMOLOGYFOUNDATIONS OF PHYSICSPERFECT ACTIONSHISTORY AND PHILOSOPHY OF SCIENCEPHYSICS AND ASTRONOMY(ALL)HISTORY ??
ID Code:
131195
Deposited By:
Deposited On:
11 Feb 2019 11:00
Refereed?:
Yes
Published?:
Published
Last Modified:
21 Sep 2023 02:33