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arXiv · 0707.4323

Is the Mass Scale for Elementary Particles Classically Determined?

Peter R. Phillips
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Abstract

We investigate whether a mass scale for elementary particles can be derived from interactions of particles with distant matter in the Universe, the mechanism of the interaction being the classical vector potential, propagating in a space of negative curvature. A possible context for such a mass scale is conformal gravity. This theory may prove to be renormalizable, since all coupling constants are dimensionless; conversely, however, there is no coupling constant analogous to the conventional G to provide a starting point for a mass scale calculation. We obtain the equations for propagation of the vector potential of a charged particle moving in a plasma in a curved space. We then show that distant matter will contribute to A**2, and that this non-thermal part will eventually dominate the ordinary thermal part. At this point a symmetry breaking transition of the Coleman-Weinberg type is possible, and particle masses can be generated with m**2 of order A**2.

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Peter R. Phillips. 2007-07-29. Is the Mass Scale for Elementary Particles Classically Determined?. https://arxiv.org/abs/0707.4323

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