A Spacetime for SU(3)
Richard Shurtleff
TL;DR
This paper develops a novel 8+1 dimensional spacetime framework based on SU(3) algebra, extending the concepts of rotations, boosts, and translations from SU(2) to a higher symmetry group.
Contribution
It introduces a new spacetime structure derived from SU(3) relations, expanding the mathematical foundation of spacetime symmetries beyond the standard 3+1 dimensions.
Findings
Established SU(3)-based rotation and boost transformations.
Derived translation operations in 8+1 spacetime.
Extended the process from SU(2) to SU(3) symmetry.
Abstract
Rotations, boosts and translations in 8 + 1 spacetime are developed based on the commutation and anticommutation relations of SU(3). The process follows a process that gives 3 + 1 spacetime from SU(2).
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Quantum and Classical Electrodynamics · Algebraic and Geometric Analysis