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A C*-Algebraic Zero Model for Emergent Space-Time, Standard-Model Sectors, and the Graviton

Authors: Murtazin, Ilgiz;

A C*-Algebraic Zero Model for Emergent Space-Time, Standard-Model Sectors, and the Graviton

Abstract

This article formulates a preliminary, mathematically explicit zero model for a possibleunified physical framework. The model is not claimed to be a completed theory of everything.Its purpose is more modest: to define a precise algebraic-geometric language in which mattersectors, gauge bosons, the Higgs field, effective space-time, and the graviton can be representedwithin one scheme. The fundamental input is a quadrupleT0 = (A, ω, αt,Dω),where A is a unital noncommutative C∗-algebra of observables, ω is a physical state, αt is aone-parameter group of automorphisms representing dynamics, and Dω is a state-dependentspectral operator acting in the GNS representation. Classical space-time is treated as aneffective commutative or almost-commutative limit. Fermions are represented as sectors ofthe GNS Hilbert space, gauge bosons as quanta of algebraic connections or inner fluctuations,the Higgs boson as an internal finite-geometric fluctuation, and the graviton as a quantum ofthe effective space-time spectral geometry. The article gives formal definitions, low-energyconsistency requirements, and falsifiability criteria for the proposed zero model.

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