The algebraic dynamics

The Tully-Fisher relation as quantum gravitational effect?

Document on zenodo.org

A triple statement:

  1. A gravitational field due to a massive spinning source creates a Thirring-Lense effect which modifies the g0a for a = 1, 2, 3, coefficients of the four-dimensional metric. This prediction has been confirmed with the Gravity Probe B satellite.

  1. The ADM treatment of the Klein-Gordon equation isolates the same coefficients and give them a specific role.

  1. The analysis of that 3 + 1 decomposition with the binoculars of the theory of the deformed tensor (resp. Lie) products allows to connect that equation with the concept of deformed angular momentum. For now, that concept is only a mathematical creation.

A courageous hypothesis with a strange consequence:

If I identify the components of the vector g (Thirring-Lense = ADM decomposition of the Klein-Gordon equation), then I get an equation of motion of which the graphical representation exhibits a strong resemblance with the arms of spiral galaxies. Not only that; that new equation is like the experimental Tully-Fisher relation describing these galaxies.

A scenario:

That mathematical confrontation suggests a scenario: the center of any spiral galaxy (sometimes, it is a black hole) acts like a giant spinning turbine taking the geometric frame with it (Thirring-Lense effect), creating Klein-Gordon-like massive waves, and generating successive branches along which the matter granulates in forming stars.

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© Thierry PERIAT.

Last edited: 20/09/2021