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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.
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Grado-Caffaro, M. (2013). A Theorem Relative to the Centrifugal Force Exerted Over a Relativistic Quantum Particle. The Open Nuclear & Particle Physics Journal, 6(1), 1–3. https://doi.org/10.2174/1874415x01306010001
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