2001/06/19 by Peter Rowlands, Rowlands, Peter, John P. Cullerne +2 · 3 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0106111
29 pages
arxiv created 2001/06/19 · arxiv updated 2009/12/01
A representation of the Dirac algebra, derived from first principles, can be related to the combinations of unit charges which determine particle structures. The algebraic structure derives from a broken symmetry between 4-vectors and quaternions which can be applied to the broken symmetry between the three nongravitational interactions. The significance of this relation for Grand Unification is derived by explicit calculation of the running values of the fine structure constants, with suggestions for the calculation of particle masses.