Master Equations and Majorana Spinors

TL;DR

This paper explores the representation of discrete automata states as Majorana spinors in a spacetime framework, discussing quantization, unconventional quantum mechanics, and implications for quantum gravity.

Contribution

It introduces a novel representation of automata states as Majorana spinors and discusses their quantization and relation to alternative quantum mechanics formulations.

Findings

States represented as Majorana spinors in (p,p) spacetime

Connections to Jordan's spinorial quantum mechanics

Implications for quantum gravity and the problem of time

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.