Karlsruhe 2024 – scientific programme

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T: Fachverband Teilchenphysik

T 122: Miscellaneous

T 122.4: Talk

Friday, March 8, 2024, 09:45–10:00, Geb. 30.41: HS 1

Particle models established in cylindrical eigenspaces with D = 6, 10 and 26 dimensions — •Hans-Dieter Herrmann — Berlin

Particles observable in space-time are assumed to exist also in cylindrical eigenspaces. The building stones are rotons (entities consisting of masses and charges circulating with the velocity of light) with 4 dimensions. A two-dimensional noncommutative circulation plane, a spin axis and time give D = 4. Two rotons with common spin axis and time (called biroton) make up a lepton model with D = 6 dimensions. The small mass of the electron appears as the mass difference of a roton with positive and an antiroton with negative energy.

N coupled rotons or antirotons have eigenspaces with D = 2N + 2 dimensions. Models of mesons have two rotons and two antirotons with N = 4; D = 10, models of baryons have 12 rotons or 12 antirotons and D = 26. The dimensions of the models are known from little string theories (D = 6), superstring theories (D = 10) and bosonic string theories (D = 26).

Masses and magnetic moment anomalies of lepton and baryon models as well as masses of meson models are presented. Neutrino oscillation and weak parity violation are discussed within the framework of the models. Single rotons of positive and negative energy are suspected of representing dark matter and dark energy. They cannot exist in space-time, but interact by gravitation.

Keywords: geometric particle model; cylindrical eigenspace; magnetic moment anomaly; meson mass scale; dark matter