6.4    THE EXPERIMENT AS A PROOF

The new theories proposed assume that the mass of the particles does not vary with their velocity (see Section 3.4).

They also assume that is valid the “Corrected De Broglie formula” λ = h/mf(v) which can be approximated by  λ = h/mv at high velocities and note that the constant mass is used.

It is proposed here that the Davisson-Germer experiment at high velocities would be a proof that no “relativistic effect” is actually present in the phenomenon. The experiment at high velocities will satisfy the formula λ = h/mv only if a constant value of m is used (term (1 – v²/c²)^1/2 not present).

At very small velocities the experiment can show that the function f(v) is really needed.

Important: As presented in Section 6.3 a modified apparatus with an added velocity selector is needed to measure more directly the velocity of the electrons.

NOTE:

It must be remembered that in the original Davisson-Germer experiment the electrons were accelerated by just about 54 volts reaching velocities about 0.2% of C only where the classical formulas apply. It would be easy to accelerate them more to reach higher velocities.

The proposed experiment is then very feasible and would give very important results for Physics.

NOTE:

If, as stated above, the experiment determines that the valid relation at high velocities is well approximated by λ = h/m_ev for a constant value for the mass m_e of the electron then another consideration against Relativity Theory would be obtained since this relation is not invariant under a Lorentz-transform.

A mathematical relation is invariant under a change of coordinates if after applying the correspondent transformation to all the variables the new obtained relation as a function of the new variables in the new referential is exactly the same as the original one respect to the original variables.

It is easy to show that as λ is a length when applying the Lorentz-transforms of relativistic distance and velocity to λ and v the resultant formula would not be the same as the original relation.

We would have one law of Physics that does not satisfies the first principle of Relativity Theory which states that all the laws of Physics must be invariant under a change of any referential of observation.

It could be then stated that the first principle of the theory would be actually not valid and so the theory would be just a wrong one.

NOTE:

The experiment will also show that the classical computation and measurement of the Electric Potential between the acceleration plates of the apparatus does not apply and that a new definition of the Electric and Magnetic Fields is needed.

The definitions proposed in this new theory are presented in Section 2.2.