Version 1
: Received: 31 January 2024 / Approved: 1 February 2024 / Online: 2 February 2024 (06:34:40 CET)
How to cite:
A Mageed, I. On the Trio Unification of Information Geometry, Einsteinian Relativity, and Transient Queues the Parthasarathian Case. Preprints2024, 2024020038. https://doi.org/10.20944/preprints202402.0038.v1
A Mageed, I. On the Trio Unification of Information Geometry, Einsteinian Relativity, and Transient Queues the Parthasarathian Case. Preprints 2024, 2024020038. https://doi.org/10.20944/preprints202402.0038.v1
A Mageed, I. On the Trio Unification of Information Geometry, Einsteinian Relativity, and Transient Queues the Parthasarathian Case. Preprints2024, 2024020038. https://doi.org/10.20944/preprints202402.0038.v1
APA Style
A Mageed, I. (2024). On the Trio Unification of Information Geometry, Einsteinian Relativity, and Transient Queues the Parthasarathian Case. Preprints. https://doi.org/10.20944/preprints202402.0038.v1
Chicago/Turabian Style
A Mageed, I. 2024 "On the Trio Unification of Information Geometry, Einsteinian Relativity, and Transient Queues the Parthasarathian Case" Preprints. https://doi.org/10.20944/preprints202402.0038.v1
Abstract
The current study characterizes the transient M/M/1 queue manifold info-geometrically, through devising Fisher Information matrix(FIM) and its inverse(IFIM). Additionally, the impact of stability on the existence of IFIM and explore the geodesic equations of motion has been revealed. More potentially, the paper discusses the relationship between stability and the Gaussian curvature, as well as the connections between queueing theory, information geometry, , Riemannian geometry, and the Theory of Relativity.
Keywords
Transient M/M/1; IG, statistical manifold (SM); QM; Geodesic equations of motion; Riemannian metric (RM); Fisher Information matrix (FIM); Inverse Fisher Information matrix (IFIM); threshold theorem
Subject
Computer Science and Mathematics, Probability and Statistics
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.