Coadjoint action on photons and their energy

En résumé (grâce à un LLM libre auto-hébergé)

  • The article explores the impact of z-symmetry on photons, noting that it has no effect because photons do not have an antiparticle.
  • The coadjoint action of the orthochronous components modifies the motion and momentum of photons, but not their energy.
  • The achronous elements reverse the direction of time for photons, giving them negative energy and making them travel backwards.

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...Now, examine the impact on the photon's movement and momentum. The z-symmetry has no effect: there is no "antiphoton." Since all the photon's charges are zero, this does not change anything. It is identical to its antiparticle.

...The coadjoint action of the orthochronous components modifies the photon's movement and momentum, but leaves its energy unchanged. See figure (408)
. Coadjoint action of orthochronous elements on the photon's movement and momentum.

(409) . The coadjoint action of antichronous elements on the photon's movement and momentum reverses its energy: it travels backward in time.

...The antichronous elements of the group act on the momentum via coadjoint action. These elements transform the normal photon, traveling forward in time in the z = 0 plane of the fold F, into a motion in the corresponding plane of the fold F*. This photon travels backward in time. Its energy is negative.

On the contents of the two folds.

They can be summarized in the following tables.
(410) . Zoo of classical particles-antiparticles.

We now obtain the zoo of ghost particles:
(411) ** ** Zoo of ghost particles-ghost-antiparticles.

Index Dynamic Groups Theory