The table wich speaks

Do you know it ? No need of long calculations, a simple "mathematicaled" table, thanks G3, allows to place, in a set of 48 huts, the 24 particles and the 24 elementary antiparticles and to understand, seeing it, why they rank in 3 generations of 2 branches each.

Indeed, this table has as model a mathematical table -based on set of the group of G3 -substitution- which recapitulates the 48 subsets of the 6 exchange of 3 elements: {a, b, c}.

The mathematical table has 48 huts because each of the 6 permutations of {a, b, c} possesses 8 subsets. Here is with, in Italic, their images in the other table where, besides its colour, each hut gets the letter that designates his contents in physics:

- 3 subsets with 1 element: (a) (b) (c) models of the 3 quarks (red) (yellow) (blue)

- 3 à 2 elements: (bc) (ac) (ab), respective complements of (a)(b)(c) and noted, to this motive: () () () models of the green antiquarks (yellow+blue), violet (red+ blue) orange (red+yellow) ( rouge+jaune ) respective complements of the red, of the yellow, of the blue and, for this motive, surmounted of a hyphen on their distinctive letters.

- 1 à 3 elements (abc) model of the electron, white by association of his 3 colors ( cf the electron in question ).

- 1 empty space, without element and, to this motive, appeared by a obstructed circle Ø. That is the model of the neutrino, that not contains any charge of colour, it is therefore symbolized in black.

Like one the sees below, to transform the mathematical table in table of the physics, it has sufficed of of it replaces the elements: (a)(b)(c) by the charges of colour of the quantum chromodynamique: {red )(yellow)( blue ) *,

Table of the 48 subsets of the 6 exchange of posts of E = {abc}

Table of the 48 particles and elementary antiparticles

An evident making, the tables include 6 lines distributed in 3 couples of 2 lines that become, in the coloured table, the 3 generations to 2 branches that the first symbolizes the matter and the second the antimatter. Why?

A simple exchange of posts in is the cause. The mathematical table the said clearly.

In the beginning of the first lign off, the 3 elements (a) (b) (c) and, under them, the 3 elements (a) (c) (b), do the demonstration.

One sees that (a) is to the same place, at the head of the two lines, one therefore calls it the invariant thing. On the other hand, on the second lign off, (b) and (c) exchanged their places, they exchanged posts. But how this exchange of posts can it transforms the matter in antimatter?

The permutation transforms the matter into antimatter by reversing its direction of rotation because, like showed it experiments, their directions opposite of rotation are the only difference between matter and antimatter.

The triangle-electron, representative of the G3 group, that appears at the head of the present site, allows to visualize the phenomenon, indeed, to his bases, the exchange of posts between b and c is equivalent to his turning that inverse his sense of rotation and therefore transforms the triangle-electron in triangle-positon.

The second generation has the same structure that the first but it begins by the exchange of posts (b) (a) (c) and the third by the exchange of posts (c) (a) (b).

At the origin of the mathematical table one sees the set {a, b, c}, no-arranged like indicate it his embraces, from where 6 arrows start that are at the origin of its 6 permutations.

At the origin of the coloured table, the image of {a, b, c} is a photon, , that, in a Big Bang creator, transforms his energy in 6 particles of matter and antimatter thanks to the 6 arrows that, in the operation, play the list of Bosons of Higgs.

To your mind, has the table well spoken?

*One preferred the colors of the painters to those of the physics of which some are less known.