High Energy Particle Physics


Inertial Motion of the Quantum Self-Interacting Electron

Authors: Peter Leifer

Attempts represent the self-interacting quantum electron as the cyclic motion on the stable attractor has been discussed. This motion subjects quantum inertia principle expressed by the parallel transported energy-momentum generator along a closed geodesic in the space of the unlocated quantum states $CP(3)$ . The affine gauge potential in the complex projective state space (similar to the Higgs potential) seriously deforms the Jacobi fields in the vicinity of the ``north pole". It was assumed that the divergency of the Jacobi field may be compensated by the fields of the Poincar\'e generators representing EM-like ``field shell" of the electron in the dynamical spacetime. Thereby, the spacetime looks as ultimately deprecated in the role of the ``container of matter" and it appears as the accompanied to the quantum electron functional space (dynamical spacetime). Meanwhile, the dynamics of the self-interacting electron is essentially non-linear and deterministic.

Comments: 21 Pages.

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Submission history

[v1] 2020-01-13 03:45:31

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