7. Some fundamental constants
7.1
Introduction ......................................................................................................... 43
7.2 The
vacuum permittivity e0. .................................................................................44
7.3 The fine
structure constant a ................................................................................45
7.4 Conclusion ............................................................................................................46
All of the fundamental constants used
in the current physics theories may be calculated according to the speed of
light. Some of those constants, such as electrons mass and charge as well as
the first generation quarks have been calculated earlier.
In this section, we will calculate the vacuum permittivity e0 and the fine structure constant a, which
are necessary to determine the position and quantity of movement of the
electrons in the atoms, mainly in hydrogen and helium.
Obviously, once the vacuum permittivity has been calculated, both the
Coulomb’s law constant K as well as the magnetic field constant m0 are determined.
7.1 Introduction
In the particle physics standard
model, the interactions depend upon 28 fundamental constants of which we
highlight the ones below.
·
The gravitational constant G
·
The fine structure constant a
·
The mass of the three charged leptons, electron, muon, and the tau.
·
The mass of the six quarks up, down, charm, strange, top and bottom.
·
Etc.
The QM shows that there is
a variety of possible observations, each of them with a different probability,
in a way that the value of those constants is due to the chance.
On the other hand,
physicist are progressively being more able to measure their value with more
accuracy. Nonetheless, the current physics has never predicted a single one of
such constants and has neither being able to explain why they do have those
values and no other. If the constants had different values, complex structures
made of atoms would not exist. The different theories of physics are built upon
those constants.
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7.4 Conclusion
We can see once again
that the constants are related and that they can be calculated when applying
the appropriate boundary conditions in the electron as for Coulomb’s constant
law calculus.
In the same way we
notice that even’s in the fine-structure constant verifies the equality in the
Heisenberg’s uncertainty principle.
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