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Proposed Modification to the Blackett Conjecture and Formula for the Schuster-Wilson-Blackett Number

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We 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. We argue that the charge so developed is an important contributory factor to planetary magnetism and propose models to predict a celestial body’s magnetic field strength and magnetic moment. We further show that both Blackett’s empirical formula (P/U= β√(πGε_0 )) for the gyromagnetic ratio of celestial bodies and the well-known relationship between fundamental constants of particle physics e = √(2αhcε_0) can be derived from our proposed equation for charge development. In the latter derivation, we assume that the electron is a hollow 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. The paper ends with a conclusion and recommendation for further study.
Center for Open Science
Title: Proposed Modification to the Blackett Conjecture and Formula for the Schuster-Wilson-Blackett Number
Description:
We 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.
We argue that the charge so developed is an important contributory factor to planetary magnetism and propose models to predict a celestial body’s magnetic field strength and magnetic moment.
We further show that both Blackett’s empirical formula (P/U= β√(πGε_0 )) for the gyromagnetic ratio of celestial bodies and the well-known relationship between fundamental constants of particle physics e = √(2αhcε_0) can be derived from our proposed equation for charge development.
In the latter derivation, we assume that the electron is a hollow 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.
The paper ends with a conclusion and recommendation for further study.

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