Extra Force in Brane Worlds

TL;DR

This paper investigates how test particles in brane world models experience an extra force due to higher-dimensional effects, leading to deviations from standard particle mechanics in lower-dimensional spacetime.

Contribution

It provides explicit equations for the motion of bulk particles as observed in lower dimensions, revealing the higher-dimensional origin of non-gravitational forces.

Findings

Identification of an extra force in brane world scenarios.

Explicit equations for particle motion in lower dimensions.

Evidence of higher-dimensional effects violating conventional mechanics.

Abstract

By carefully analyzing the geodesic motion of a test particle in the bulk of brane worlds, we identify an extra force which is recognized in spacetime of one lower dimensions as a non-gravitational force acting on the particle. Such extra force acts on the particle in such a way that the conventional particle mechanics in one lower dimensions is violated, thereby hinting at the higher-dimensional origin of embedded spacetime in the brane world scenario. We obtain the explicit equations describing the motion of the bulk test particle as observed in one lower dimensions for general gravitating configurations in brane worlds and identify the extra non-gravitational force acting on the particle measured in one lower dimensions.