The distance formula in algebraic spacetime theories
General Relativity and Quantum Cosmology
2019-11-12 v1 Mathematical Physics
math.MP
Abstract
The Lorentzian distance formula, conjectured several years ago by Parfionov and Zapatrin, has been recently proved by the second author. In this work we focus on the derivation of an equivalent expression in terms of the geometry of 2-spinors by using a partly original approach due to the first author. Our calculations clearly show the independence of the algebraic distance formula of the observer.
Keywords
Cite
@article{arxiv.1902.00591,
title = {The distance formula in algebraic spacetime theories},
author = {D. Canarutto and E. Minguzzi},
journal= {arXiv preprint arXiv:1902.00591},
year = {2019}
}
Comments
Latex2e, 5 pages. To appear in the proceedings of the conference: Ninth International Workshop DICE2018 "Spacetime - Matter - Quantum Mechanics'' Castello Pasquini/Castiglioncello (Tuscany), September 17-21, 2018