Minimal Uncertainty in Momentum: The Effects of IR Gravity on Quantum Mechanics

Abstract

The effects of the IR aspects of gravity on quantum mechanics is investigated. At large distances where due to gravity the space-time is curved, there appears nonzero minimal uncertainty $\Delta p_0$ in the momentum of a quantum mechanical particle. We apply the minimal uncertainty momentum to some quantum mechanical interferometry examples and show that the phase shift depends on the area surrounded by the path of the test particle . We also put some limits on the related parameters. This prediction may be tested through future experiments. The assumption of minimal uncertainty in momentum can also explain the anomalous excess of the mass of the Cooper pair in a rotating thin superconductor ring.

8 pages, revised version accepted by PRD

References in corpus (3)

• Universality of Quantum Gravity Corrections
• Hydrogen-atom spectrum under a minimal-length hypothesis
• Aharonov-Casher effect for spin one particles in a noncommutative space

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• Minimal Scales from an Extended Hilbert Space
• Quantum Gravity Effects On Charged Micro Black Holes Thermodynamics
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• Visible Energy Alternative to Dark Energy
• Semiclassical resolution of the black hole singularity inspired in the minimal uncertainty approach
• Equivalence principle violation from large scale structure
• Particle in a cavity in one-dimensional bandlimited quantum mechanics
• Spontaneous Lorentz symmetry violation from infrared gravity