Is Ampere's Law is Just a "Relativistic Charge Effect" ?
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Magnetism is not a real force and does not really exist.
Magnetism is just as Einstein had stated a "relativistic
effect " of common charge.Magnetism is the result of the
movement of charges.

If we assume that charge increases with relative velocity we can
explain magnetism in a much simpler and direct way .

We shall assume that charge varies as

q=q0/(1-(v/c)^2)^.5 (1)

This equation is similar to the increase of mass with velocity.

At low velocities it becomes ;

q=q0+1/2*q0*v^2/c^2 (2)

Magnetism is simply the unbalance of the various charges w.r.t. one another.

In a simple two-wire case we have four charge forces to consider.

We simply need to add them up to determine the resultant force.

For example two parallel wires with the current in the same direction.
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We have the positive-positive charges which do not change with the current.
We have the positive-negative and negative-positive charges which are
stronger due to the relative motion w.r.t. each other.
The negative-negative charges do not change as they both move together
with the same speed.

The result of the unballance is an attraction.

For two parallel wires with the current in the opposite direction.
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We have the positive-positive charges which do not change with the current.
We have the positive-negative and negative-positive charges which are
stronger due to the relative motion w.r.t. each other.
The negative-negative charges increase as v^2 and are thus 4 times stronger
than the positive-negative and negative-positive charges.

The result of the unballance is an repulsion.

We can treat magnets as well by simply considering the currents that
make them.

This method is much more direct , and does not use a "hypothetical" magnetic
field. We also do not need to use a right-hand rule.

The reason for an attraction or repulsion is also clearer.