7. Some fundamental constants


7.1 Introduction ......................................................................................................... 43. 43
7.2 The vacuum permittivity e0. 44 .................................................................................44
7.3 The fine structure constant a.. 45 ................................................................................45

7.4 Conclusion. 46 ............................................................................................................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 fine-structure constant is 𝞪 = K q2 / ħ c: where K is the constant of Coulomb's law K=1/4pe0 , q the charge of the electron, ħ Planck's reduced constant, e0  the electric permittivity of the vacuum, and c is the speed of light.

            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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