TY - JOUR

T1 - Apriorics

T2 - Information and Graphs in the Description of the Fundamental Particles—A Mathematical Proof

AU - Shoshani, Yakir

AU - Yahalom, Asher

N1 - Publisher Copyright:
© 2024 by the authors.

PY - 2024/2

Y1 - 2024/2

N2 - In our earlier work, we suggested an axiomatic framework for deducing the fundamental entities which constitute the building block of the elementary particles in physics. The basic concept of this theory, named apriorics, is the ontological structure (OS)—an undirected simple graph satisfying specified conditions. The vertices of this graph represent the fundamental entities (FEs), its edges are binary compounds of the FEs (which are the fundamental bosons and fermions), and the structures constituting more than two connected vertices are composite particles. The objective of this paper is to focus the attention on several mathematical theorems and ideas associated with such graphs of order n, including their enumeration, showing what is the information content of apriorics.

AB - In our earlier work, we suggested an axiomatic framework for deducing the fundamental entities which constitute the building block of the elementary particles in physics. The basic concept of this theory, named apriorics, is the ontological structure (OS)—an undirected simple graph satisfying specified conditions. The vertices of this graph represent the fundamental entities (FEs), its edges are binary compounds of the FEs (which are the fundamental bosons and fermions), and the structures constituting more than two connected vertices are composite particles. The objective of this paper is to focus the attention on several mathematical theorems and ideas associated with such graphs of order n, including their enumeration, showing what is the information content of apriorics.

KW - fundamental particles

KW - graph theory

UR - http://www.scopus.com/inward/record.url?scp=85185929902&partnerID=8YFLogxK

U2 - 10.3390/math12040579

DO - 10.3390/math12040579

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AN - SCOPUS:85185929902

SN - 2227-7390

VL - 12

JO - Mathematics

JF - Mathematics

IS - 4

M1 - 579

ER -