Farnsworth, Shane (2025) The n-point exceptional universe. JOURNAL OF MATHEMATICAL PHYSICS, 66 (11): 111701. ISSN 0022-2488, 1089-7658
Full text not available from this repository. (Request a copy)Abstract
We solve an open problem in spectral geometry: the construction of finite-dimensional, discrete geometries coordinatized by non-simple, exceptional Jordan algebras. The approach taken is readily generalisable to broad classes of nonassociative geometries, opening the door to the spectral geometric desciption of gauge theories with exceptional symmetries. We showcase a proof-of-principle 2-point geometry corresponding to the internal space of an F4 x F4 gauge theory with scalar content restricted by novel conditions arising from the associative properties of the coordinate algebra. We then formally establish a setting for generalizing to n-point exceptional Jordan geometries with distinct points coupled via an action on 1-forms constructed as split Jordan bimodules.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUANTUM GEOMETRY; STANDARD MODEL; ALGEBRAS; SPACES |
| Subjects: | 500 Science > 500 Natural sciences & mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 18 Jun 2026 06:55 |
| Last Modified: | 18 Jun 2026 06:55 |
| URI: | https://pred.uni-regensburg.de/id/eprint/66338 |
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