Abstract
We show that if the field equation for a Dirac particle is extended to (7 + 1) flat dimensions, and a harmonic oscillator potential and a large constant are introduced in the four extra dimensions \(\tilde R^4\) to confine the particle, then “orbital” times “spin” solutions are generated in \(\tilde R^4\) which exhibit approximate SU(4) × SU(2) symmetry. We show that these representations bear some resemblance to quarks and leptons.
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Bryan, R. (2000). Standard-Model Dirac Particles Trapped in Flat (Noncompact) Higher Dimensions. In: MacKenzie, R., Paranjape, M.B., Zakrzewski, W.J. (eds) Solitons. CRM Series in Mathematical Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1254-6_3
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DOI: https://doi.org/10.1007/978-1-4612-1254-6_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7063-8
Online ISBN: 978-1-4612-1254-6
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