Version 1
: Received: 14 November 2022 / Approved: 15 November 2022 / Online: 15 November 2022 (06:56:22 CET)
Version 2
: Received: 19 January 2023 / Approved: 20 January 2023 / Online: 20 January 2023 (07:50:16 CET)
How to cite:
Shvalb, N.; Frenkel, M.; Shoval, S.; Bormashenko, E. Universe as a Graph (Ramsey Approach to Analysis of Physical Systems). Preprints2022, 2022110277. https://doi.org/10.20944/preprints202211.0277.v1
Shvalb, N.; Frenkel, M.; Shoval, S.; Bormashenko, E. Universe as a Graph (Ramsey Approach to Analysis of Physical Systems). Preprints 2022, 2022110277. https://doi.org/10.20944/preprints202211.0277.v1
Shvalb, N.; Frenkel, M.; Shoval, S.; Bormashenko, E. Universe as a Graph (Ramsey Approach to Analysis of Physical Systems). Preprints2022, 2022110277. https://doi.org/10.20944/preprints202211.0277.v1
APA Style
Shvalb, N., Frenkel, M., Shoval, S., & Bormashenko, E. (2022). Universe as a Graph (Ramsey Approach to Analysis of Physical Systems). Preprints. https://doi.org/10.20944/preprints202211.0277.v1
Chicago/Turabian Style
Shvalb, N., Shraga Shoval and Edward Bormashenko. 2022 "Universe as a Graph (Ramsey Approach to Analysis of Physical Systems)" Preprints. https://doi.org/10.20944/preprints202211.0277.v1
Abstract
Application of the Ramsey graph theory to the analysis of physical systems is reported. Physical interactions may be very generally classified as attractive and repulsive. This classification creates the premises for the application of the Ramsey theory to the analysis of physical systems built of electrical charges, electric and magnetic dipoles. The notions of mathematical logic, such as transitivity and intransitivity relations, become crucial for understanding of behavior of physical systems. The Ramsey approach may be applied to the analysis of mechanical systems, when actual and virtual paths between the states in configurational space are considered. Irreversible mechanical and thermodynamic processes are seen within the reported approach as directed graphs. Chains of irreversible processes appear as transitive tournaments. These tournaments are acyclic; the transitive tournaments necessarily contain the Hamiltonian path. The set of states in the phase space of the physical system, between which irreversible processes are possible, is considered. Hamiltonian path of the tournament emerging from the graph uniting these states is a relativistic invariant. Applications of the Ramsey theory to the general relativity become possible when the discrete changes in the metric tensor are assumed. Reconsideration of the concept of “simultaneity” within the Ramsey approach is reported.
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.
