Foundations of Physics

, Volume 49, Issue 2, pp 107–143 | Cite as

Quaternion Algebra on 4D Superfluid Quantum Space-Time: Gravitomagnetism

  • Valeriy I. SbitnevEmail author


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.


Superfluid quantum vacuum Gravitomagnetic Electromagnetism Wave function Vorticity Vortex Cosmic microwave radiation 



It is pleasant to note useful discussions with Marco Fedi concerning the Universe. The author thanks Mike Cavedon and Sridhar Bulusu for useful and valuable discussions, remarks, and offers.


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Authors and Affiliations

  1. 1.St. Petersburg B. P. Konstantinov Nuclear Physics InstituteNRC Kurchatov InstituteGatchinaRussia
  2. 2.Department of Electrical Engineering and Computer SciencesUniversity of California, BerkeleyBerkeleyUSA

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