Architectural Multiplicity and Physical Representations From Green-Function Architectures to Quantum Theory and Statistical Physics
Borros Arneth
The first paper of this series introduced Green-Function Architectures as primitive mathematical objects and established an axiomatic framework for a restricted class of Green functions. The second paper developed a classification theory based on architectural invariants, equivalence classes, and morphisms. The purpose of the present paper is to investigate how Green-Function Architectures may be represented within established physical theories. Rather than modifying the equations of quantum mechanics, quantum field theory, or statistical physics, the present work studies representations of Green-Function Architectures in these existing mathematical frameworks. The central concept introduced is Architectural Multiplicity, an invariant intended to characterize structural complexity within an architectural equivalence class. The paper investigates how such invariants may be related to Green functions, spectra, statistical ensembles, and Hilbert-space representations. The emphasis is on mathematical representation rather than physical reinterpretation. Several open questions concerning the uniqueness, completeness, and physical significance of Architectural Multiplicity are identified.
•Jul 12, 2026•0 citations