Quelques rêveries cosmiques cosmoquant-fr

Cosmologie-et-formule-de-Koide

Title: The cosmology as origin of the Koide’s mass formula in particles physics.

Author: © Thierry PERIAT.

French matriculation: ISBN 978-2-36923-008-3, EAN 9782369230083.

Version: 1.

Language: GB/USA.

Number of pages: 11.

Publication: 11 July 2022.

Document: available in clicking on the link.

Nom du fichier : Isbn 978 2 36923 008 3 periat

Taille : 275.76 Ko

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Comments.

The context.

The Wikipedia article on that item starts with that sentence (citation, 14 December 2019): “The Koide formula is an unexplained empirical equation discovered by Yoshio Koide in 1981. In its original form, it relates the masses of the three charged leptons; later authors have extended the relation to neutrinos, quarks, and other families of particles”.

For many physicists, this formula is only understood as “numerology” without serious foundation. Therefore, some of them, [01], [02], have proposed (new citation): “… mechanisms to explain origins of the charged lepton spectrum as well as the Koide formula, e.g., by constructing an effective field theory in which a new gauge symmetry causes the pole masses to exactly satisfy the relation”.

My contribution.

The Theory of the (E) Question (alias: the TEQ) is a set of mathematical explorations focusing its attention on the deformations of tensor and wedge products.

This approach allows a new explanation for the Koide’s formula. In that context, the Koide’s formula appears to be a natural but peculiar consequence of a quite brighter model.

The main idea relies on the fact that the speed of light must be preserved in any type of vacuum. Due to the Morley and Michelson experiments, we already knew that it was true for a perfect Maxwell’s vacuum.

My exploration envisages what would happen in a FRW metric if that speed would be preserved, even when the vacuum is deformed; in extenso: when the spatial geometry and the definition of the cross-product are modified.

The condition allowing that presumed preservation exhibits a sub-condition that I confront with the condition equipping W3(A) = {E(3, K = R or C), ∧A} with a Lie algebra structure.

I prove that anti-symmetric deforming cubes A validate both conditions simultaneously; hence, they preserve the speed of light whatever happens to the universe.

As a matter of serendipity, and a by-product of this demonstration is that - in those cases- each of the three anti-symmetric matrices implicitly contained in such cubes A can be related to a vector, the components of which must be related to each other by a Koide’s ratio. 

To control my demonstration, please read the document on the page: “Le vide de Maxwell revisité” (at the bottom of the page).

© Thierry PERIAT. 

Go back to the page: “Quantum cosmology”.

Date de dernière mise à jour : 02/12/2022