Chapter XXVII

 

FORMULA OF THE UNIFIED THEORY

 

"The number dominates the Universe."

- Pythagoras -

     

      What if we did find the Final Theory of the Universe, the Great Unified Theory? ...

      What would that discover mean? ... What would we do with it? ... What would that change?

      Would we be absolutely certain that we did find the correct theory? ...

       If we had in our hands a mathematically consistent theory, which could make the correct predictions of physical events, always in agreement with the observations, we could acquire a reasonable degree of confidence, we could think that maybe this is the true theory, we could fall into the illusion that we have conquered the absolute understanding of our Universe ...

      "However, if we discover a complete theory, which shell be understood within a few time, in its general concepts, by everyone and not just by some scientists. So all of us, philosophers, scientists and just ordinary people, will be able to take part in the discussion of knowing why we and the Universe exist. If we find the answer to this, it will be the ultimate triumph of Human reason, because, with the knowledge of this theory we will understand the mind of God. "- Stephen Hawking -.

      Physics will be mature when it reaches a Unified Formula that fits within a T-Shirt. Something more or less of this type:

 

F = m a ... or ... E = m c2

 

      A Unified Formula that will be an authentic work of art and which will immortalize its author ... contained in one single constant that will also reveal the reason of all the other constants that surround us.

      Understanding the origin of our constants is one of the big questions of Physics ...

... This formula could be contained in one fundamental constant, as simple as …

 

FORMULA OF THE UNIFIED THEORY:

 

a  =  2 α

 

 

0,0144 = 2 .  1 / 137

 

0,0144 = 2 . 0,007

 

0,0144 = 0,0144

 

 

      From this simple number follows the full complexity of our Universe:

 

a = Q c2 = 2 α

 

 a =   2 α  =   2 .   ___e2___    =       __e2__

                            2. ε0. h . c            ε0. h . c

 

      And from here arises the most fundamental constants that surround us:

 

Charge of the electron ... ... ... ... ... ... ... ... ... ... ... ... ... … e = 1.602 x 10-19 C

Electric Permittivity of vacuum ... ... ... ... ... … … … … … …ε0 = 8.854 x 10-12 F / m

Planck constant ... ... ... ... ... ... ... ... .... .... ... … … … … … …h = 6.626 x 10-34 Js

Speed of light ... ... ... ... ... ... ... ... ... ... ... ... ... .. ... … … … .c = 3 x 108 m / s

 

      All these constants can be practically reduced into one:

Fine Structure constant ... ... ... ... ... ... ... ... … … … … α = 7.297 x 10-3 ≈ 1 / 137

    ... Which has a direct relationship with all the forces of Nature that surround us ...   The classical equation of the electric field is given by the Coulombs law, in which:

 

Fe = K. Q2

            r2

 

      But this equation can also be defined as the following relation:

 

Fe = K. Q2

            λe2

 

    In which it is replaced the value of the distance r by the length of Compton λe. The Compton wavelength relates three fundamental constants:

 

λe =    h_    

       me.c    

 

      Replacing in the previous equation, we obtain the following development:

 

Fe = K. Q2. me2.c2

            h2

 

FeQ2. me2.c2

        4π. ε0. h2

 

      Where ‘m' is the particle which emits and receives the corresponding radiation. In this case, me is the mass-energy of the electron and is related with the Electromagnetic Radiation.

      In the case of Gravitational Radiation, we could first begin to evaluate our 'gravitational constant’ G.

     Let us try to determine the origin of this constant…