Project T Volume IV The Uniqueness of K=3 Why Reality Requires Exactly Three Algebraic Dimensions

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Authors: Sami Allaghi
Cited by: 0

Abstract

This volume addresses a deceptively simple question: why three? Why does our universe have three spatial dimensions? Why are there three generations of fermions? Why three color charges in QCD? We will prove that the number 3 is not arbitrary — it is mathematically forced. Any attempt to build a consistent algebraic structure with 2, 4, 5, or more fundamental generators fails. Only 3 works.

Fields of Study & Subjects

Advanced Mathematical Theories and Applications Particle physics theoretical and experimental studies Relativity and Gravitational Theory

Publication details

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