Effect of coordinate noncommutativity on the mass of a particle in a uniform field and the equivalence principle

Abstract

We consider the motion of a particle in a uniform field in noncommutative space which is rotationally invariant. On the basis of exact calculations it is shown that there is an effect of coordinate noncommutativity on the mass of a particle. A particular case of motion of a particle in a uniform gravitational field is considered and the equivalence principle is studied. We propose the way to solve the problem of violation of the equivalence principle in the rotationally invariant noncommutative space.

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Cited by in corpus (10)

• Composite system in rotationally invariant noncommutative phase space
• Weak equivalence principle in noncommutative phase space and the parameters of noncommutativity
• Effect of noncommutativity on the spectrum of free particle and harmonic oscillator in rotationally invariant noncommutative phase space
• Kinematic variables in noncommutative phase space and parameters of noncommutativity
• Noncommutative phase space with rotational symmetry and hydrogen atom
• Rotationally invariant noncommutative phase space of canonical type with recovered weak equivalence principle
• Features of free particles system motion in noncommutative phase space
• Influence of noncommutativity on the motion of Sun-Earth-Moon system and the weak equivalence principle
• Exact solutions for two-body problems in 1D deformed space with minimal length
• Exact continuity equation in a space with minimal length