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A Non-Classical Linear Xenomorph as a Model for Quantum Causal Space

Ioannis Raptis
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Abstract

A quantum picture of the causal structure of Minkowski space M is presented. The mathematical model employed to this end is a non-classical version of the classical topos {H} of real quaternion algebras used elsewhere to organize the perceptions of spacetime events of a Boolean observer into M. Certain key properties of this new quantum topos are highlighted by contrast against the corresponding ones of its classical counterpart {H} modelling M and are seen to accord with some key features of the algebraically quantized causal set structure.

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Ioannis Raptis. 1999-09-20. A Non-Classical Linear Xenomorph as a Model for Quantum Causal Space. https://arxiv.org/abs/gr-qc/9909056

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