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The group structure bases of a foundational approach to physics

2001/10/31 by Peter Rowlands, Rowlands, Peter, J. P. Cullerne +4
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #General Physics (physics.gen-ph) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.physics/0110092

52 pages

arxiv created 2001/10/31 · openalex publication_date 2001/10/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Based on a fundamental symmetry between space, time, mass and charge, a series of group structures of physical interest is generated, ranging from C2 to E8. The most significant result of this analysis is a version of the Dirac equation combining quaternions and multivariate vectors, which is already second quantized and intrinsically supersymmetric, and which automatically leads to a symmetry breaking, with the creation of specific particle structures and a mass-generating mechanism.

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