A Machian definition of particle mass in higher-dimensional gravity
Paul S. Wesson
TL;DR
This paper introduces a Machian approach to defining particle mass in five-dimensional gravity, linking mass to the scalar field of the extra dimension, which aligns with Mach's Principle.
Contribution
It proposes a novel method using the effective wave function to define particle mass in higher-dimensional gravity, emphasizing the scalar field's role.
Findings
Mass is inversely proportional to the scalar field magnitude.
The definition aligns with Mach's Principle.
Mass depends on the global scalar field, varying with coordinates.
Abstract
A new method involving the effective wave function is used to define the mass of a particle in a standard five-dimensional extension of general relativity. The mass is inversely proportional to the magnitude of the scalar field of the extra dimension. Since the scalar field is global and depends on the coordinates, this definition for the particle mass agrees with Machs Principle.
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Geophysics and Gravity Measurements