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

Research output: Contribution to journalJournal article

Published
<mark>Journal publication date</mark>2015
<mark>Journal</mark>Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics
Volume52
Number of pages7
Pages (from-to)62-68
Publication StatusPublished
<mark>Original language</mark>English

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.