## A Hidden Dimension, Clifford Algebra, and Centauro Events

**Authors:** Carl Brannen

This paper
eshes 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 follow: A hidden dimension is useful for explaining the phase velocity of quantum waves. The
hidden dimension corresponds to the proper time parameter of standard relativity. This theory has
been developed into a full gravitational theory, "Euclidean Relativity" by other authors. Euclidean
relativity matches the results of Einstein's gravitation theory. This article outlines a compatible
theory for elementary particles.
The massless Dirac equation can be generalized from an equation of matrix operators operating
on vectors to an equation of matrix operators operating on matrices. This allows the Dirac equation
to model four particles simultaneously. We then examine the natural quantum numbers of the
gamma matrices of the Dirac equation, and generalize this result to arbitrary complexified Clifford
algebras. Fitting this "spectral decomposition" to the usual elementary particles, we find that one
hidden dimension is needed as was similarly needed by Euclidean relativity, and that we need a set
of eight subparticles to make up the elementary fermions. These elementary particles will be called
\binons", and each comes in three possible subcolors.
The details of the binding force between binons will be given as a paper associated with a talk
by the author at the APSNW 2005 meeting at the University of Victoria, at British Columbia,
Canada on May 15, 2005. After an abbreviated introduction, this paper will concentrate on the
phenomenological aspects of the binons, particularly as applied to the Centauro type cosmic rays,
and gamma-ray bursts.

**Comments:** recovered from sciprint.org

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### Submission history

[v1] 25 Mar 2007

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