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.
The distance formula in algebraic spacetime theories / Canarutto D.; Minguzzi E.. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - STAMPA. - 1275:(2019), pp. 012045-1-012045-6. (Intervento presentato al convegno 9th International Workshop on Decoherence, Information, Complexity and Entropy: Spacetime Matter Quantum Mechanics, DICE 2018 tenutosi a Castello Pasquini, ita nel 2018) [10.1088/1742-6596/1275/1/012045].
The distance formula in algebraic spacetime theories
Canarutto D.;Minguzzi E.
2019
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.
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