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Calling Time on Digital Clocks

Sloan, David (2013) Calling Time on Digital Clocks. In: UNSPECIFIED.

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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.

NB : At this point this paper is a draft, citations and formatting are not completed.

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Item Type: Conference or Workshop Item (UNSPECIFIED)
Keywords: Discrete time, quantum gravity, cosmology
Subjects: Specific Sciences > Physics > Cosmology
Depositing User: Dr David Sloan
Date Deposited: 16 Apr 2013 01:21
Last Modified: 16 Apr 2013 01:21
Item ID: 9680
Subjects: Specific Sciences > Physics > Cosmology
Date: 14 April 2013

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