English

Discrete mechanics, time machines and hybrid systems

Quantum Physics 2013-10-11 v1 General Relativity and Quantum Cosmology Classical Physics

Abstract

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.

Keywords

Cite

@article{arxiv.1310.2862,
  title  = {Discrete mechanics, time machines and hybrid systems},
  author = {Hans-Thomas Elze},
  journal= {arXiv preprint arXiv:1310.2862},
  year   = {2013}
}

Comments

14 pages; invited talk at the conference The Time Machine Factory (Torino, October 2012)