Project T Volume VII The Hecke-Clifford Bridge How Geometry Emerges from Algebra

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Authors: Sami Allaghi
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Abstract

This volume reveals a fundamental discovery: the Clifford algebra — long considered the foundation of spacetime geometry and fermionic physics — is not fundamental. It emerges from the more primitive Hecke algebra H₀(Ã₂) through the bridge parameter λ = -1. The fermionic sign (anti-commutation) is not postulated; it is derived from algebraic consistency. This represents a paradigm shift: geometry is not the foundation of physics; algebra is.

Fields of Study & Subjects

Algebraic and Geometric Analysis Algebraic structures and combinatorial models Advanced Topics in Algebra

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
31 January 2026
Document type
Preprint