|Carlo Santagata theoretical physics|
From Coulomb to Yukawa throught Plank
On the unification of known interactions
The resolution of the classic singleness
|Perhaps it’s possible to
reconduct the mesonic interaction of Yukawa to the coulombian field in basis to
unknown implications of the Black Body Problem proposed at that time by Planck.
As it’s immediate to show, the
mentioned solution of Planck eliminates the innate and congenital singleness of
which Coulomb’s formula (
for , where e is the electron charge and y is the average distance between the two charges. It will be immediate to deduce from Planck’s relations according to the coulombian force that
In it we can see ho Coulomb’s force extends to infinite, by extending , while the force law deducted by Planck’s solution, at first reaches the maximum, and then it entirely annuls. For big distances it extends to Coulomb’s macroscopic formula.
having a course deducible from the following graph.
So we immediately deduce that the total work of annihilation of the couple of charges is equal to
where can also coincide with light’s speed, but, it’s generally different from it. Besides from these new relations we draw that joining energy is given by the relation
that, by neglecting -1, is simile to the formula hypothesized by Nobel Yukawa in the case of the nuclear forces, by having posed .
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