On physical meaning of Weyl vector

TL;DR

This paper explores the physical significance of the Weyl vector within conformal geometrodynamics, aiming to connect quantum phenomena with gravitational theory and extend understanding beyond general relativity.

Contribution

It proposes a novel interpretation of the Weyl vector's physical meaning and investigates its role in unifying quantum physics concepts with gravitational theories.

Findings

Identifies a correspondence between Weyl degrees of freedom and half-integer spin phenomena.

Suggests potential for new insights into quantum-gravity unification.

Describes phenomena arising from Weyl space that relate to observed quantum effects.

Abstract

The present paper considers if the new proposed conformal geometrodynamics (CGD) can extend the Nature features compared with general theory of relativity (GTR). The answer for this question can be connected with unique phenomenon arising from Riemann space transition used in GTR, to Weyl space used in CGD. We have in mind the possibility to set up the perfect correspondence in certain spatial regions between the equations of different physical phenomena: (1) Phenomena associated with Weyl degrees of freedom in a plane space. (2) Phenomena described in terms of half-integer spin particles and observed quantities corresponding to the full set of bispinors. The said phenomenon is described in the present paper. Analyzed here are the new prospects in the problem of combination of quantum physics concepts and GTR, unification of physical interactions and understanding of many of the effects known from the experiments but not properly understood yet.