The Concept of Electric Charge and the Hypothesis of Magnetic Poles
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In this paper, a generic field theory in which the field particle has two couplings was examined, where the observed leptons and quarks are composed of e-preons and are in agreement with the observed charge spectrum.Abstract:
We examine a generic field theory in which the field particle has two couplings. It is of particular interest when these are the electroweak, e, and the hypothetical magnetoweak, g. The new field operators are obtained by replacing the field operators $\Psi (x)$ of the standard model or of similar models by $\tilde{\Psi} (x) D^j_q (m,m')$ where $ D^j_q (m,m')$ is an element of the $2j+1$ dimensional representation of the SLq(2) algebra, which is also the knot algebra. The field is assumed to exist in two phases distinguished by two values of $q$: $q_e = \frac{e}{g}$ and $q_g = \frac{g}{e}$ which label the electroweak and magnetoweak phases respectively.
We assume that the observed leptons and quarks are composed of e-preons and are in agreement with the observed charge spectrum of leptons and quarks. It is now proposed that there is also a g-phase where g-leptons and g-quarks are composed of g-preons. It is assumed that the g-charge is very large compared to the e-charge and the mass of the g charged particle is even larger since the mass of all of these particles is partially determined by the eigenvalues of $\bar{D}^j_q (m,m') D_q^j (m,m')$, a polynomial in $q$, that multiplies the Higgs mass term and where \begin{equation*} \frac{q_g}{q_e} = \left ( \frac{\hbar c}{e^2} \right)^2 \approx (137)^2. \end{equation*}
These values of $q$ indicate that particles in the g-phase are much more massive, they should be harder to produce or to observe.read more
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References
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A Schematic Model of Quarks and Leptons
TL;DR: In this paper, the authors considered a scheme in which all quarks and leptons are composites of only two types of fundamental spin 1 2 objects with electric charges 1 3 and 0.
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TL;DR: In this paper, a heuristic model is presented, treating leptons and quarks as composites of spin 1 2 fields with charges 0, ± e 3, which leads to the emergence of three quark colors.
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A Field Theory of Elementary Particles
TL;DR: In this paper, a classical field theory of the electron is reviewed and it is shown that hitherto it has not been possible to combine the two conditions: gauge-invariance and freedom from singularities.
Journal ArticleDOI
A Model of Lepton and Quark Structure
TL;DR: In this paper, a model of particles with two very massive fundamental constituents, maxons, is proposed, where one of them is a fractionally charged color triplet and the other is neutral color singlet.