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- Title
Quaternion Algebra on 4D Superfluid Quantum Space-Time: Gravitomagnetism.
- Authors
Sbitnev, Valeriy I.
- Abstract
Gravitomagnetic equations result from applying quaternionic differential operators to the energy-momentum tensor. These equations are similar to the Maxwell's EM equations. Both sets of the equations are isomorphic after changing orientation of either the gravitomagnetic orbital force or the magnetic induction. The gravitomagnetic equations turn out to be parent equations generating the following set of equations: (a) the vorticity equation giving solutions of vortices with nonzero vortex cores and with infinite lifetime; (b) the Hamilton-Jacobi equation loaded by the quantum potential. This equation in pair with the continuity equation leads to getting the Schrödinger equation describing a state of the superfluid quantum medium (a modern version of the old ether); (c) gravitomagnetic wave equations loaded by forces acting on the outer space. These waves obey to the Planck's law of radiation.
- Subjects
DIFFERENTIAL operators; ENERGY momentum relationship; ELECTROMAGNETIC induction; HAMILTON-Jacobi equations; PLANCK'S law; ELECTROMAGNETISM; WAVE functions; COSMIC background radiation
- Publication
Foundations of Physics, 2019, Vol 49, Issue 2, p107
- ISSN
0015-9018
- Publication type
Article
- DOI
10.1007/s10701-019-00236-4