Abstract
The essence of electric charge has been a mystery. So far, no theory has been able to derive the attributes of electric charge, which are: bivalency, stability, quantization, equality of the absolute values of the bivalent charges, the electric field it creates and the radii of the bivalent charges. Our model of the electric charge and its field (this paper) enables us (in additional papers), for the first time, to derive simple equations for the radii and masses of the electron/positron muon/anti-muon and quarks/anti-quarks. These equations contain only the constants G, c, ℏ  and α (the fine structure constant). The calculated results based on these equations comply accurately with the experimental results. In this paper, which serves as a basis for the other papers, we define electric charge density, based on space density. This definition alone, without any phenomenology, yields the theory of Electrostatics. Electrostatics together with Lorentz Transformation is known to yield the entire Maxwell Electromagnetic theory.
Highlights
In our model, of the electric charge and its field, a positive elementary electric charge is a contracted zone of space, whereas a negative elementary electric charge is a dilated zone of space
This new idea, of charge as curved space, enables us to use the theory of General Relativity (GR) in our derivations
Our definition of Electric Charge Density is based on the concept of space density
Summary
Of the electric charge and its field, a positive elementary electric charge is a contracted zone of space, whereas a negative elementary electric charge is a dilated zone of space. Our definition of electric charge density alone yields electrostatics, without any phenomenology, and together with the Lorentz Transformation - the entire Maxwell theory This result encourages us to further pursue, in additional papers, our idea; an effort that yields important results, which some of them are presented below. We consider charge to be a deformed zone of space, and since the geometry of both deformed spaces and bent manifolds is Riemannian, we can attribute curvature to an electric charge This new idea, of charge as curved space, enables us to use the theory of General Relativity (GR) in our derivations. For the electron/positron charge, which is a white/black hole, s is light velocity at the event horizon, as the far-away observer measures, Susskind and Lindesay (2005) This is a deviation of 0.06% from the measured CODATA value, Olive (2014). Note that EM waves, in our theory, are space transverse vibrations
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