Absolute Magnetic Force

The Magnetic Force generated by a static Magnetic Field B over a charged particle moving at velocity v is defined by the Lorentz formula:

F_B = q.vxB

The problem is which velocity must be considered.

The theory here agrees with Classical Physics and the v velocity that must be considered is the absolute velocity v_A relative to a frame at rest in the Universe. The Magnetic Force would be an Absolute Force.

We will consider an electromagnetic dynamics problem and study the classical and the relativistic predictions.

A beam of electrons is traveling in a straight line at some velocity (generating a current which generates a Magnetic Field around) in relation of some frame at rest for the Classical approach and just some frame for the relativistic approach.

Case 1:

The beam is traveling at velocity v₁ (generating a current q. v₁).

An electron is at rest in relation to the frame at some distance of the beam.

Case 2:

The electron now is moving parallel to the beam at some velocity w but the beam now is moving with a velocity v₂ = v₁ + w incremented exactly by w (generating a current q. v₂).

Classical Physics prediction is that in Case1 the Magnetic force is F_B = 0 since v_A = 0 while in Case 2 it will be equal to F_B = e.vxB₂ where e is the charge of the electron and B₂ the Magnetic Field generated by the current i₂ = e. v₂.

The total force that will act on the isolated electron is the addition of the Magnetic and the Electric Forces the beam generates and is different in each case. In the two cases the isolated electron will have a different trajectory in relation to the beam.

Both Classical Physics and Relativity agree and predict the same total force. The difference is the way the two approaches explain the phenomenon.

Classical Physics directly applies the Lorentz formula considering that in the two cases the beam and the electron have different absolute velocities relative to a frame at rest in the Universe and so they represent two different physical phenomena and the different trajectory of the movement is well justified.

Relativity applies Lorentz Transform with length and time contraction in the beam of electrons. The problem of the relativistic approach is that the Lorentz transform is just a change in the reference frame (the observer) and then we would be leaved to admit that just a change in the reference frame would change the relative trajectory of the electron. In other words, the change of a reference frame would change the intrinsic dynamics of relative trajectories of the movements in a system. This is a serious physics' inconsistence in the theory. It must be concluded that Relativity Theory is a wrong theory for the Physics of the Universe.

NOTE:

The problem also points out ways to determine experimentally a frame at rest in the Universe and Earth's absolute velocity.