Physics group matrix moment

Physics approach through groups Geometrization of physics

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paper from 2005.

1 - Generalities. Group axioms

2 - Generalities, continuation

3 - The first matrix groups: translation, rotation

4 - The concept of momentum, first approach

5 - Actions and Anti-actions. Axiomatic

6 - Construction of the coadjoint action of the Poincaré group on its momentum space

7 - Continuation of these calculations

( a bug in some equations, which I will correct. Character police accident )

8 - Continuation of the calculation. Matrix representation of momentum

9 - Spin particles. Evocations of the coadjoint action of the Bargmann group

10 - Elimination of the "passage" in the matrix description by coordinate change.

The spin, a geometric object

11 -

The photon

12 - Particles with non-zero mass. Connected components of the Lorentz group

13 - Orthochronous and antichronous components of the Poincaré group

14 - Non-trivial extension of the Poincaré group. Action in a number of dimensions greater than 4. Charges

15 - Return to the concept of momentum. Bargmann group

16 - Continuation of this theme

17 - Continuation of this theme

18 - Didactic image: space of movements - space of momenta

19 - Continuation of this theme

20 - Orthochronous and antichronous movements

21 - Antimatter

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23 -

24 -

25 -

26 -

27 -

28 -

These following pages correspond to approaches dating from 1992 and which have been better defined in

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