Article
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On the Quantification of Relativistic Trajectories
Version 1
: Received: 6 December 2021 / Approved: 8 December 2021 / Online: 8 December 2021 (14:49:36 CET)
How to cite: Laedermann, J.-P. On the Quantification of Relativistic Trajectories. Preprints 2021, 2021120142. https://doi.org/10.20944/preprints202112.0142.v1 Laedermann, J.-P. On the Quantification of Relativistic Trajectories. Preprints 2021, 2021120142. https://doi.org/10.20944/preprints202112.0142.v1
Abstract
The geodesics on a relativistic manifold are given by the well-known equation involving the Christoffel coefficients. This equation can be solved numerically step by step and transposed into a quantization. We study here the effect of this quantization on the Schwarzschild spacetime, more precisely in the Kruskal-Szekeres map.
Keywords
General relativity; geodesics; digitization; quantization; Schwarzschild; Kruskal-Szekeres; singularity; Lambert; tachyon; arbitrary precision calculation; complex time; Lorentz boost
Subject
Physical Sciences, Mathematical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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