Two Arrows of Time in Nonlocal Particle Dynamics
Abstract
Considering what the world would be like if backwards causation were possible is usually mindbending. Here I discuss something that is easier to study: a toy model that incorporates a very restricted sort of backwards causation. It defines particle world lines by means of a kind of differential delay equation with negative delay. The model presumably prohibits signalling to the past and superluminal signalling, but allows nonlocality while being fully covariant. And that is what constitutes the model's value: it is an explicit example of the possibility of Lorentz invariant nonlocality. That is surprising in so far as many authors thought that nonlocality, in particular nonlocal laws for particle world lines, must conflict with relativity. The development of this model was inspired by the search for a fully covariant version of Bohmian mechanics.
 Publication:

arXiv eprints
 Pub Date:
 October 2002
 arXiv:
 arXiv:quantph/0210207
 Bibcode:
 2002quant.ph.10207T
 Keywords:

 Quantum Physics
 EPrint:
 8 pages LaTeX, 1 figure