Algebraic Dynamics

The document: The Tully-Fisher relation as quantum gravitational effect.

PERIAT, Thierry. (2020, January 6). The Tully Fisher relation as quantum gravitational effect (Version v1). Zenodo. http://doi.org/10.5281/zenodo.3598456.

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.

  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.

What must yet be done:

This demonstration, its inner logic, and the coincidence must now be confirmed and deepened. Tables giving the radial speeds of stars in our galaxy will be helpful to reach that goal.


If my approach is confirmed, we now have a scenario concerning the history of spiral galaxies and the premises of a quantum gravity theory.

That scenario suggests that the center of any spiral galaxy acts like a giant spinning turbine taking the geometric frame with it, emitting Klein-Gordon-like massive waves, creating successive branches along which the matter granulates in forming stars. 

Correct or not? You decide. Discussions are welcome: contact form.

© Thierry PERIAT.

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Last edited: 20/11/2020