Composite system in noncommutative space and the equivalence principle

Abstract

The motion of a composite system made of N particles is examined in a space with a canonical noncommutative algebra of coordinates. It is found that the coordinates of the center-of-mass position satisfy noncommutative algebra with effective parameter. Therefore, the upper bound of the parameter of noncommutativity is re-examined. We conclude that the weak equivalence principle is violated in the case of a non-uniform gravitational field and propose the condition for the recovery of this principle in noncommutative space. Furthermore, the same condition is derived from the independence of kinetic energy on the composition.

arXiv comment12 pages

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Cited by in corpus (25)

• Composite system in rotationally invariant noncommutative phase space
• Weak equivalence principle in noncommutative phase space and the parameters of noncommutativity
• Parameters of noncommutativity in Lie-algebraic noncommutative space
• Hydrogen atom in rotationally invariant noncommutative space
• Effect of coordinate noncommutativity on the mass of a particle in a uniform field and the equivalence principle
• Effect of noncommutativity on the spectrum of free particle and harmonic oscillator in rotationally invariant noncommutative phase space
• Upper bound on the momentum scale in noncommutative phase space of canonical type
• 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
• Perturbation of the ns energy levels of the hydrogen atom in rotationally invariant noncommutative space
• Macroscopic body in Snyder space and minimal length estimation
• Two-particle system in noncommutative space with preserved rotational symmetry
• Physical quantities and spatial parameters in the complex octonion curved space
• Features of free particles system motion in noncommutative phase space
• Contrastive analysis of two energy gradients in the ultra-strong magnetic fields
• System of interacting harmonic oscillators in rotationally invariant noncommutative phase space
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