Wesson's IMT with a Weylian bulk
Mark Israelit (Univ. Haifa - Oranim)
TL;DR
This paper reinterprets Wesson's induced matter theory within a Weylian geometric framework, leading to a unified geometric description of gravity and electromagnetism on the 4D brane derived from a 5D Weylian bulk.
Contribution
It introduces a Weyl-Dirac extension of Wesson's theory, replacing the Riemannian bulk with a Weylian space and deriving unified field equations on the brane.
Findings
Weylian bulk replaces Riemannian assumptions
Unified gravitation and electromagnetism on the brane
Mass and currents induced by 5D Weylian geometry
Abstract
The foundations of Wesson's induced matter theory are analyzed. It is shown that the 5D empty bulk must be regarded rather as a Weylian space than as a Riemannian one.The framework of a Weyl-Dirac version of Wesson's theory is elaborated and discussed. The bulk possesses in addition to the metric tensor a Weylian connection vector as well Dirac's gauge function; there are no sources (mass, current) in the bulk. On the 4D brane one obtains a geometrically based unified theory of gravitation and electromagnetism with mass, currents and equations induced by the 5D bulk
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