What type of study is this?

This is a Quantitative Study study.

September 30, 2025

Cylindrically symmetric solutions in Einstein-Schrödinger theory

Key Points

The study identifies a specific solution in the Einstein-Schrödinger framework, focusing on cylindrical geometries and various charge scenarios.
Analyzing geodesic equations reveals the motion law of test particles in fields produced by cylindrical charge sources.
Findings indicate the massless nature of source distribution and that universe expansion links to both the cosmological constant and existing electric charges.
Implications for quantum field theory and Yukawa potential further solidify connections within the unified theory context.

Abstract

A specific cylindrically symmetric solution of Einstein-Schrödinger' s unified field theory is obtained in the electric, magnetic and electromagnetic cases separately. The latter case is characterized by the use of Klotz' metric hypothesis. By analyzing the geodesic equations, we determine the law of motion of a test particle within the field produced by the cylindrical charge source. The consequences of this study are: (i) the source distribution is massless and (ii) the expansion of the source-particle universe does not result only from the cosmological constant of Einstein-Schrödinger' s unified theory but also from the existing charges. Possible connections to quantum field theory and the Yukawa potential are examined.

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