Approach of physics through groups
Geometrization of physics
1 - Generalities. Axioms of groups
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2 - Generalities, continuation
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3 - The first matrix groups: translation, rotation
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4 - The concept of momentum, first approach
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5 - Actions and Anti-actions. Axiomatics
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6 - Construction of the coadjoint action of the Poincaré group on its momentum space
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7 - Continuation of these calculations
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( a bug in some equations, which I will correct. Character encoding accident )
8 - Continuation of the calculation. Matrix representation of momentum
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9 - Spin particles. Evocations of the coadjoint action of the Bargmann group
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10 - Elimination of the "passage" in the matrix description via coordinate change.
Spin, a geometric object
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11 -
The photon
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12 - Particles with non-zero mass. Connected components of the Lorentz group
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13 - Orthochronous and antichronous components of the Poincaré group
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14 - Non-trivial extension of the Poincaré group. Action in a number of dimensions greater than 4. Charges
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15 - Return to the concept of momentum. The Bargmann group
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16 - Continuation of this theme
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17 - Continuation of this theme
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18 - Didactic image: space of motions – space of momenta
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19 - Continuation of this theme
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20 - Orthochronous and antichronous motions
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21 - Antimatter
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22 - 23 - 24 - 25 - 26 - 27 - 28 -
The following pages correspond to approaches dating from 1992 and have been better clarified in
the 2005 paper.
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