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# The Tully Fisher relation as quantum gravitational effect

PERIAT, Thierry

A. Einstein's general theory of relativity predicts that any spinning gravitational source drags the space-time structure with it. It is the so-called Thirring-Lense effect. This effect has been measured and confirmed with the Gravity Probe B experiment. This document goes a step further in proposing and analyzing the consequences of a simple hypothesis: The Thirring-Lense effect generates a Klein-Gordon massive wave''. A renewed mathematical analysis of the Klein-Gordon equation is realized. That analysis loans elements to the theory of deformed algebras and introduces usual tools appearing in a theory of quantum mechanics. A confrontation mixing the hypothesis and this new analysis yields a law which I propose to interpret as being the Tully-Fisher relation. This demonstration suggests that the kinetic behavior of arms in spiral galaxies is the macroscopic and amplified expression of a quantum gravitational phenomenon

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