Equation for Emergence of Electric Charge from Spin

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Abstract

I propose that electric charge is an emergent property of a spinning body. Specifically, an elementary particle or celestial body whose surface rotates about its axis or centre develops a charge Q = kmω√(ε_0/ρ), where k is a dimensionless constant, m is the mass of the sphere, ω is the angular velocity of its surface, ρ its density, and ε_0 the permittivity of free space. I argue that the charge so developed is an important contributory factor to planetary magnetism and propose a calculation for the component of a planet’s magnetic field strength that arises from its orbital motion. I also reframe Coulomb’s law to express the electrostatic force between two charged particles in terms of their masses, densities, and angular velocities. I further show that our proposed equation of charge development leads to the well-known relationship e = √(2αhcε_0) if we assume that the electron is a spherical particle and that every point on its surface revolves about its centre at velocity c – effectively suggesting that the electron has a fluid-like surface and is not a point particle. This said assumption also enables us to not only visualize electron spin for the very first time but also to calculate both the intrinsic magnetic dipole moment of the electron and its spin angular momentum without invoking laborious mathematical methods or attributing infinite energy to the electron, thus according with the principle of parsimony. The paper ends with a conclusion and recommendation for further study.

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