English

Master Equations and Majorana Spinors

General Relativity and Quantum Cosmology 2010-04-06 v1 High Energy Physics - Theory

Abstract

I describe how the states of a discrete automata with p sites, each of which may be off or on, can be represented as Majorana spinors associated to a spacetime with signature (p,p). Some ideas about the quantization of such systems are discussed and the relationship to some unconventional formulations and generalizations of quantum mechanics, particularly Jordan's spinorial quantum mechanics are pointed out. A connection is made to the problem of time and the complex numbers in quantum gravity.

Keywords

Cite

@article{arxiv.gr-qc/9611001,
  title  = {Master Equations and Majorana Spinors},
  author = {G W Gibbons},
  journal= {arXiv preprint arXiv:gr-qc/9611001},
  year   = {2010}
}

Comments

16 pages plain TEX, no figures to appear in the special issue of Classical and Quantum Gravity to celebrate the 64th birthday of A Trautmann

R2 v1 2026-07-22T12:52:23.487Z