The Tully-Fisher law as quantum gravitational effect?

Title: The Tully-Fisher relation as quantum gravitational effect?

Author : Thierry PERIAT.

French matriculation: ISBN 978-2-36923-150-9, EAN 9782369231509.

Language: GB/USA.

Publication: 6 January 2020.

Version: 1. 

Document: on zenodo.org

Go to the French version: “La dynamique algébrique”.

Comments:

A triple statement:

1. A gravitational field due to a massive spinning source creates a Thirring-Lense effect which modifies the g_0a for a = 1, 2, 3, components of the four-dimensional metric; they can be considered as the components of some three-dimensional vector g. This prediction has been confirmed with the Gravity Probe B satellite.

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

3. 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.

A courageous hypothesis with a strange consequence:

If I identify the components of the vector g (i.e., I write: 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. 

© Thierry PERIAT.

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