Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Calling time on digital clocks
T2 - Cosmology and Time: Philosophers and Scientists in Dialogue
AU - Sloan, David
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
KW - Digital time
KW - Clocks
KW - Quantum mechanics
KW - Cosmology
KW - Foundations of physics
KW - Perfect actions
U2 - 10.1016/j.shpsb.2015.03.009
DO - 10.1016/j.shpsb.2015.03.009
M3 - Journal article
VL - 52
SP - 62
EP - 68
JO - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics
JF - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics
SN - 1355-2198
ER -