Emergence of Gauge Symmetry from Minimal Information Relation Networks

Minimal Information Topology and the Emergence of Gauge Symmetry

抄録

We propose a theoretical framework in which gauge symmetries of particle physics emerge from the topology of information relation networks.
The model, called the Hierarchical Information Propagation Model (HIPM), starts from a minimal structure consisting of four information variables connected by six relations.
This structure naturally forms a simplicial complex whose triangular loops possess non-trivial homological properties.
We show that the number of independent loop phases is three, which provides a natural origin for SU(2) gauge symmetry.
Extending the loop phase space leads to a U(3) transformation structure, whose traceless sector corresponds to SU(3), suggesting a topological origin of color symmetry.
In this framework, gauge fields correspond to vector excitations of loop phases, while fermionic particles emerge as spinor excitations associated with the SU(2) structure of the loop phase space.
The model suggests that fundamental interactions may originate from the topology of information propagation rather than being imposed as fundamental symmetries.
The results suggest that gauge symmetries may originate from minimal relational structures of information.