## A Theory of the Elementary Particles

**Authors:** Michael P. Dotson

A new formulation of particle physics is developed in which the fermion field amplitudes are constructed directly as functionals of boson fields. The properties of conventional field theory are established through a system of definitions for the state function and for the field operators, demonstrating the origin and essential purpose of the commutation rules for fields, and providing an explanation for the role of probability in quantum field theory.
Predictions for the kinds of interactions and field equations that can exist are more restrictive than usual, and the resulting field equations are dissimilar from common expectations. Fortunately, corrections using perturbative expansion show that for energies much less than the Planck energy the fields behave as gauge fields. The fields specifically allowed in this theory correspond to a simple extension of the Standard Model, giving a better understanding for various aspects of its structure: the left-handed coupling of the weak bosons; the existence of the four forces; the necessity for three generations of fermions; and also some details of the fermion mass spectrum, such as the large mass of the top quark and zero mass for neutrinos. Relationships between the various parameters of the theory allow semi-empirical calculations of the fermion masses as well as the Cabibbo angle and the coupling constants of the fields. New particles are predicted, some of which may be good candidates for dark matter and dark energy.
KEY WORDS: gauge invariance, commutation rules, renormalization, quantum gravity, quantization, probability, particle models

**Comments:** 71 Pages.

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### Submission history

[v1] 2011-12-08 20:08:11

[v2] 2012-06-09 13:29:12

[v3] 2012-10-15 21:47:31

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