
TL;DR
This paper derives the Standard Model from an 8-dimensional spacetime Clifford algebra, predicting new particles, explaining fundamental interactions, and avoiding common theoretical issues.
Contribution
It introduces a novel 8D spacetime framework embedding the Standard Model, predicting four fermion families, and explaining interactions via Clifford algebra automorphisms.
Findings
Predicts four fermion families with restricted mixing.
Explains strong force via Spin(8) triality.
Proposes a hierarchy governed by a generalized Koide formula.
Abstract
The Standard Model of particle physics is derived from first principles from the free Dirac Lagrangian in 8-dimensional spacetime. Motivated by second quantization arguments, we embed the 4-dimensional Clifford algebra of the Dirac Lagrangian into the Clifford algebra of 8-dimensional spacetime. We show this process carries a natural redundancy described by the SM gauge group and an additional symmetry. All known fermionic particle representations, with additional right handed neutrinos, arise as Dirac spinors transforming under this symmetry. Four particle families are predicted with mixing intrinsically restricted to the first three, while avoiding common challenges related to a fourth family. The strong force arises from Spin(8) triality, with chirality emerging as the property of rotations left invariant by this automorphism. The symmetry group acts internally and…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Relativity and Gravitational Theory · Space Science and Extraterrestrial Life
