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Wednesday 31 December 2014

Non-existence of magnetic mono poles from classical mechanics

As a start in the New year, I made a basic outline of my theory regarding Magnetic mono poles. Now, I am getting into the mathematical structure of it. But this theory gave me a little satisfaction over on it. And the abstract starts in a hypothetical manner,

Abstract (Hypothesis):
Over a period of time, if a physical vector rotates with respect to some fixed axis in a plane then the physical vectors associated with that vector will also rotate with respect to some fixed axis in any physical process.

Mechanical Example:
The definitions of any physical vector in rotational mechanics serves as the perfect example.
If we consider the definition of linear velocity in a rotating object,
linear velocity = radius from the rotating axis * the angular velocity
v = r * w

where,
linear velocity, radius and angular  velocity are interconnected and all this vectors rotate with respect to some fixed axis in any plane.

Similar examples could be seen in Rotational mechanics.

Analogous example in Electrodynamics:
The Lorentz force acting on a charged particle is given by,

F = q ( v cross B)
where,
F - force acting on the charge
q- magnitude of electric charge
v- velocity of the particle
B- magnetic field acting on the particle

Here,  the vectors namely force acting on the body,  velocity of the particle and the magnetic field acting on the particle are related to each other obeying Lorentz force law.

From the experimental evidence, we know that, the force acting on the particle and the velocity of the particle in a magnetic field rotates about some fixed axis in a plane.

From the abstract (Hypothesis) given above, it needs to be the third vector i.e. The Magnetic field acting on the charge should be rotating with respect to some fixed axis in a plane.

Hence, the magnetic field acting on a charged particle should be rotating about some fixed axis through time and provides that the curl of the magnetic field should be non-zero.
Divergence of curl is always zero.

Thus, the divergence of magnetic field should always be zero, which in turn, avoids the existence of magnetic mono poles.

Divergence of a magnetic field should always be zero.

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