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arXiv · 0710.4420

Fermion Systems in Discrete Space-Time Exemplifying the Spontaneous Generation of a Causal Structure

Alexander Diethert·Felix Finster·Daniela Schiefeneder
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Abstract

As toy models for space-time on the Planck scale, we consider examples of fermion systems in discrete space-time which are composed of one or two particles defined on two up to nine space-time points. We study the self-organization of the particles as described by a variational principle both analytically and numerically. We find an effect of spontaneous symmetry breaking which leads to the emergence of a discrete causal structure.

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Alexander Diethert, Felix Finster, Daniela Schiefeneder. 2007-10-24. Fermion Systems in Discrete Space-Time Exemplifying the Spontaneous Generation of a Causal Structure. https://doi.org/10.1142/s0217751x08041426

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