# The Geometry of Fermions

@inproceedings{Brannen2004TheGO, title={The Geometry of Fermions}, author={Carl A. Brannen}, year={2004} }

The Geometry of Fermions Carl Brannen (Dated: December 2, 2004) This paper analyzes the structure of the elementary fermions using the Geometric Algebras derived from several candidates for the manifold of space-time. One candidate, the Proper Time Geometry, is shown to be consistent with a simple interpretation of the fermions that requires subparticles here called \binons." An explicit solution for the fermion structure is shown. The result is a fully geometric version of the standard model…

## 3 Citations

The Geometric Speed of Light

- Mathematics, Physics
- 2004

This paper uses the Geometric Algebra (GA) on the Proper Time Geometry [1] to repeat Dirac's derivation of the Dirac equation from the Klein-Gordon equation. A GA is a type of Cli ord Algebra. These…

A Hidden Dimension, Clifford Algebra, and Centauro Events

- Physics
- 2007

This paper fleshes out the arguments given in a 20 minute talk at the Phenomenology 2005 meeting at the University of Wisconsin at Madison, Wisconsin on Monday, May 2, 2005. The argument goes as…

Qutrit Bound States, Mesons, and Baryons

- Physics
- 2008

In the 1950s, Julian Schwinger defined what he called the “measurement algebra.” This was designed around the algebra of Stern-Gerlach experiments, that is, it described how Stern-Gerlach experiments…

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The Geometric Speed of Light

- Mathematics, Physics
- 2004

This paper uses the Geometric Algebra (GA) on the Proper Time Geometry [1] to repeat Dirac's derivation of the Dirac equation from the Klein-Gordon equation. A GA is a type of Cli ord Algebra. These…

The Proper Time Geometry

- Physics
- 2004

Historically, quantum mechanics was developed on the same geometry of space-time that Einstein described in his 1904 paper on Special Relativity (SR), the LorentzMinkowski Geometry (LMG). Since then,…

Standard-model symmetry in complexified spacetime algebra

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Complexified spacetime algebra is defined as the geometric (Clifford) algebra of spacetime with complex coefficients, isomorphic $\mathcal{G}_{1,4}$. By resorting to matrix representation by means of…

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