Discrete mechanics, “time machines” and hybrid systems

Modifying the discrete mechanics proposed by T.D. Lee, we construct a class of discrete classical Hamiltonian systems, in which time is one of the dynamical variables. This includes a toy model of “time machines” which can travel forward and backward in time and which differ from models based on clo...

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Bibliographic Details
Main Author: Elze Hans-Thomas
Format: Article
Language:English
Published: EDP Sciences 2013-09-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/20135801013
Description
Summary:Modifying the discrete mechanics proposed by T.D. Lee, we construct a class of discrete classical Hamiltonian systems, in which time is one of the dynamical variables. This includes a toy model of “time machines” which can travel forward and backward in time and which differ from models based on closed timelike curves (CTCs). In the continuum limit, we explore the interaction between such time reversing machines and quantum mechanical objects, employing a recent description of quantum-classical hybrids.
ISSN:2100-014X