New Pathways in High-Energy Physics I pp 15-120 | Cite as

# Elementary Particles in the Generalized Theory of Gravitation

## Abstract

This paper contains, for the time independent spherically symmetric fields, various regular solutions of the field equations. An elementary particle structure consists of the entire spectrum of magnetic charges g_{n}, n=0,1,2,..., with alternating signs where g_{n} → 0 for n → ∞ and where \(\sum\limits_{n=0}^{\infty }{{{g}_{n}}}=0\). The screening caused by the stratified distribution generates short range magnetic forces. The strength of the coupling between the field and particle is described by e^{2}+g _{n} ^{2} where n=∞ corresponds to the distances of the order of a Compton wave length \(\frac{\hbar }{Mc}\)Mc. The observed mass M of particle or antiparticle is obtained, as a consequence of the equations of motion, in the form Mc^{2} = ½ mc^{2} +2E_{s}, where E_{s} is the finite selfenergy of particle (or antiparticle) and where m and E_{s} have opposite signs. The “bare gravitational mass” m, obtained as a constant of integration, is estimated to be of the order of 10^{21} Mev. The spectrum of fundamental lengths r_{on} [= \(\frac{/\left( 2{{G}_{o}} \right)}{{{c}^{2}}}/\left( {{e}^{2}}+\mathop{g}_{n}^{2} \right)\) ~ 10^{−33}cm] measure the deviation of the theory from general relativity. The selfenergy E_{s} in the limit r_{on} = 0 tends to infinity and the solutions reduce to the corresponding spherically symmetric solutions in general relativity. The spin ½ of an elementary particle is found to be the result of its neutral magnetic structure and the latter exists only for nonvanishing Γ _{[μν]} ^{ρ} , the antisymmetric part of the affine connection. The two states of spin correlate with the two possible sequences of signs of g_{n}, i.e g_{n} and — g_{n}, n=0,1,2,.... .

For the solutions where e=0 the symmetries of charge conjugation and parity are not conserved. The latter lead to the assumption of small masses for the two neutrinos ν_{e}, ν_{μ}. Conservation of the electric charge multiplicity i.e the existence of −1, +1, 0 units of electric charge, is found to be the basis for the existence of four massive fundamental particles p,e,ν_{e},ν_{μ} and the corresponding antiparticles
\(\overset{-}{\mathop p}\,,{{e}^{+}},\overset{-}{\mathop {{\nu }_{e}}}\,,\overset{-}{\mathop {{\nu }_{\mu }}}\,\)p. Based on a new concept of “vacuum” predicted by the theory it may be possible to construct all other elementary particles as bound or resonance states of the “fundamental quartet” p,e,ν_{e},ν_{μ} and the “antiquartet” \(\overset{-}{\mathop p}\,,{{e}^{+}},\overset{-}{\mathop {{\nu }_{e}}}\,,\overset{-}{\mathop {{\nu }_{\mu }}}\,\).

## Keywords

Elementary Particle Electric Charge Field Equation Gravitational Field Bianchi Identity## Preview

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