Quaternion algebra on 4d superfluid quantum space-time

World Congress on Quantum Physics - November 24-25, 2022 | Webinar

November 24-25, 2022 | Webinar

Valeriy I. Sbitnev

Petersburg Nuclear Physics Institute, Russia

Scientific Tracks Abstracts: J Laser Opt Photonics

Abstract :

Four quaternion matrices of rank 4 η0, ηx, ηy, ηz compose a basis of our 4D space-time. First, we write in this basis the energy-momentum density tensor loaded also by the 4D vector EM potential. Second, we define the generating differential operator D = ic-1∂tâ??η0+ ∂xâ??ηx+ ∂yâ??ηy+∂zâ??ηz, where ∂t = ∂/∂t, ... are partial differential operators, c is the speed of light, and i is the imaginary unit. The first step is the application of the differential generating operator D to the energymomentum density tensor to generate the force density tensor, see Fig. 1. This figure shows all steps of applying the differential generating operator D leading to the appearance of gravitomagnetic equations representing the gravito-torsion and the Maxwell EM equations.

Biography :

Valeriy Sbitnev has PhD in 1987 from Moscow State University. He is senior researcher in Saint-Petersburg Nuclear Physics Institute, Kurchatov NRC. He has published more than 70 papers in reputed journals shown in ORCID 0000-0001-6006-0214.