Quaternion algebra on 4D superfluid quantum space-time. Dirac and Majorana relativistic fermion fields

Abstract: Gravitomagnetic equations result from applying quaternion differential operators to the energy-momentum tensor written in the quaternion basis. These equations are similar to Maxwell’s EM equations. They are parent ones generating a series of equations describing the real physical processes. The vorticity equation gives solutions of vortices with nonzero vortex cores and infinite lifetime. The Hamilton-Jacobi equation loaded by the quantum potential opens the hydrodynamic approach on the fermionic fields. In the relativistic limit, this equation (together with the continuity one) underlies fermionic fields leading to the emergence of the Dirac equation. Analysis of its solutions discloses the existence of the paired Majorana fermions having integer spins 1 or 0 as, for example, ortho- and para- hydrogens. One more solution of the Dirac equation leads to the existence of the particle-antiparticle pair. The electron-positron pairs ordered into a macroscopic coherent Bose-Einstein condensate give a simple example of the existence of Wilczek's time crystals. The pairs of proton-antiprotons, loaded by accompanying electron-positron buffers, can pose long-lived ordered quantum objects. These objects representing the Bose-Einstein condensate look like Wilczek's time crystals as well. These macroscopic coherent ensembles are discussed in the light of the ball lightning manifestations capable of tunneling across hard obstacles, for example, window glasses.

mathematical physicsgeneral physicsquantum physics

Audience: researchers in the topic

( paper | slides )

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QM Foundations & Nature of Time seminar

Series comments: Description: Physics foundations discussion seminar

Current access link in th.if.uj.edu.pl/~dudaj/QMFNoT

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