Dimensional Reduction

Details Dimensional Reduction Dimensional Reduction

1998-07-06

arxiv.org/abs/hep-th/9807044v1

Mod.Phys.Lett. A14 (1999) 99-104

Physics

High Energy Physics

High Energy Physics - Theory

Honorable Mention, 1998 Gravity Research Foundation essay contest (REVTeX, 3 pages)

Scientific paper

10.1142/S0217732399000134

Using an octonionic formalism, we introduce a new mechanism for reducing 10 spacetime dimensions to 4 without compactification. Applying this mechanism to the free, 10-dimensional, massless (momentum space) Dirac equation results in a particle spectrum consisting of exactly 3 generations. Each generation contains 1 massive spin-1/2 particle with 2 spin states, 1 massless spin-1/2 particle with only 1 helicity state, and their antiparticles --- precisely one generation of leptons. There is also a single massless spin-1/2 particle/antiparticle pair with the opposite helicity and no generation structure. We conclude with a discussion of some further consequences of this approach, including those which could arise when using the formalism on a curved spacetime background, as well as the implications for the nature of spacetime itself.

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