2.2    NEW ELECTRIC AND MAGNETIC FIELDS AND FORCES

 

It is proposed that the Electric and Magnetic Fields and Forces formulas must be corrected.

 

We are going to make a modification on the fields’ formulas that will represent the behavior of the basic particles like the electron and the photons at high velocities. It is proposed that the Electric and Magnetic Fields and Forces are directly responsible for that behavior.

 

When particles travels trough Electric and Magnetic Fields, it has been experimentally determined that a factor s = (1 – v2/c2)1/2   appears, although it is only visible when large velocities are present in the particles. It is well known, for example, that when electrons are passed trough a strong magnet it describes a circular trajectory that verifies the equation:

 

qvB  =  (m0/s)(v2/r)

where s = (1 – v2/c2)1/2  

 

 c is the light velocity in vacuum emitted with a source at rest:

c ≈ 3x108 m/seg

 

It is proposed that the factor s is present both in the Magnetic and Electric Fields and Forces.

 

In the example above the equation should be rewritten to:

 

sqvB =  m0v2/r 

 

It is proposed that the factor belongs to the other side of the equation. This gives the same kinematics results but means a different cause to the behavior.

 

This is the alternative to the proposition of mass variation in the Relativity Theory.

 

Then, if we denote Bc and FBc the field and force of Classical Physics it is proposed that the actual Magnetic Field and Magnetic Force are:

B = sBc

FB = sFBc

 

Where is defined:

s = (1 – vR2/c2)1/2  for vR ≤ c

s = 0  for vR ≥ c

vR is the relative velocity between the source of the field B and the particle where the force is applied

 

For the Electric Field E and Force FE, the new theories propose the same modification, the factor s, to take into account the behavior when large relative velocities are present between the source of the field and the particles. If Ec and FEc are the classical Electric Field and Force then the actual ones should be:

 

E  =  sEc

FE = sFEc

 

Where in this case vR is the relative velocity between the source of the field E and the particle where the force is applied

 

It is interesting to note that the Electric and Magnetic Forces become zero for velocities greater than c. The new theories does not limit the velocity of every object to be less than the value c but as the forces becomes zero at this speed it seems not to be possible to accelerate something to a speed greater than c. As we noticed at the beginning of the text, the new theories determines that the Emission Theory must be valid and so velocities greater than c can be reached if the source of the forces is moving with an absolute velocity u>0.

 

NOTE

The new Electric and Magnetic Fields will verify the classical Maxwell Equations at small velocities (s ≈ 1). The validity of the equations at high velocities and the form they can have for the new fields in the general case is a subject for future study.

Next section describes well known experiments that can be successfully explained with the correction in the fields.