| Issue |
EPL
Volume 120, Number 1, October 2017
|
|
|---|---|---|
| Article Number | 10007 | |
| Number of page(s) | 7 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/120/10007 | |
| Published online | 29 December 2017 | |
Biquadrics configure finite projective geometry into a quantum spacetime
Institut für Theoretische Physik, Universität Erlangen-Nürnberg - 91058 Erlangen, Germany
Received: 1 August 2017
Accepted: 29 November 2017
Minkowski spacetime with signature 
and an internal space with a gauge symmetry 
emerge inevitably in finite projective geometry 
when equipped with a biquadric 
. These quadratic forms define neighbourhood, order and distances of points in which is thereby refolded in many world sheets overlaying each other. Elementary particle fields occur as geometric degrees of freedom deviating from a homogeneous space. They exhibit quantum effects such as non-locality, interference and fluctuations due to the superposition of points in induced by the biquadric .
PACS: 04.60.-m – Quantum gravity / 02.40.Dr – Euclidean and projective geometries / 03.65.Ta – Foundations of quantum mechanics; measurement theory
© EPLA, 2017
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