Gauss’s Law for Magnetism & Law of Universal Magnetism: Calculate the Charge of a Monopole

Author(s)
Greg Poole
Affiliation
Industrial Tests, Inc., Rocklin, CA, USA.

ABSTRACT
This paper describes a mathematical proof that Gauss’s Law for Magnetism can be derived from the Law of Universal Magnetism [1]. A second reciprocal proof also shows that the Law of Universal Magnetism can be derived from Gauss’s Law for Magnetism. These two complimentary proofs confirm that the Law of Universal Magnetism is a valid equation rooted in Gaussian law. The paper also confirms the theoretical existence of the magnetic monopole and calculates its magnetic charge using the ratio of the electromagnetic field and the speed of light. Using the mass-to-charge ratio of an electron, the mass and radius of the magnetic monopole are determined. The monopole is found to have the same radius as the electron and can also be found in the electromagnetic spectrum range known as gamma rays. Lightning is a natural source of gamma rays and could prove fruitful in the search for monopoles.
KEYWORDS
Gauss’s Law for Magnetism, Law of Universal Magnetism, Magnetic Charge Density, Permeability, Monopole

Introduction

The Law of Universal Magnetism was recently formulated and published earlier this year [1]. In this paper, a proof is offered to determine if the law aligns with Gauss’s law for magnetism. Gauss’s law for magnetism is a physical application of Gauss’s theorem, also known as the divergence theorem in calculus, which was independently discovered by Lagrange in 1762, Gauss in 1813, Ostrogradsky in 1826, and Green in 1828 [2].Gauss’s law for magnetism is one of the four Maxwell’s equations that underlie classical electrodynamics. It states that the magnetic field B has divergence equal to zero [3], is a solenoidal vector field and is equivalent to the statement that magnetic monopoles do not exist [4]. Rather than magnetic charges, the basic entity for magnetism is the magnetic dipole. If magnetic monopoles exist, then Gauss’s law for magnetism would state that the divergence of B would be proportional to the magnetic charge density ρm, analogous to Gauss’s law for electric field. If magnetic monopoles do not exist, then for zero net magnetic charge density (ρm = 0), the original form of Gauss’s magnetism law, is the result. If monopoles are ever found, Gauss’s law would have to be modified, as elaborated in this paper.It was pointed out by Pierre Curie in 1894 that magnetic monopoles could theoretically exist, despite not having been seen so far [5]. Physicist Paul A. M. Dirac, in 1931, proposed the quantum theory of magnetic charge in his paper, Dirac showed that if any magnetic monopoles exist in the universe, then all electric charge in the universe must be quantized [6].

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