A Theorem Relative to the Centrifugal Force Exerted Over a Relativistic Quantum Particle

ABSTRACT

We prove that a free relativistic rotor (or rotator) Klein-Gordon field is massless. To this end, the magnitude of the centrifugal force and its associated quantum operator for a free particle with a circular motion are determined in Special Relativity. A partial differential equation including the centrifugal force operator is derived. Finally, from the conjunction of the above equation and the Klein-Gordon equation, the desired result is reached.

Keywords:

Centrifugal force, special relativity, centrifugal force operator, massless rotor Klein-Gordon field..