Kinetic energy properties and weak equivalence principle in a space with GUP
arXiv:1907.07057 · doi:10.1142/S0217732320500960
Abstract
A space with deformed commutation relations for coordinates and momenta leading to generalized uncertainty principle (GUP) is studied. We show that GUP causes great violation of the weak equivalence principle for macroscopic bodies, violation of additivity property of the kinetic energy, dependence of the kinetic energy on composition, great corrections to the kinetic energy of macroscopic bodies. We find that all these problems can be solved in the case of arbitrary deformation function depending on momentum if parameter of deformation is proportional inversely to squared mass.
References in corpus (33)
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- A Generalized Uncertainty Principle in Quantum Gravity
- Discreteness of Space from the Generalized Uncertainty Principle
- Nonpointlike Particles in Harmonic Oscillators
- A proposal for testing Quantum Gravity in the lab
- Torsion-balance tests of the weak equivalence principle
- The MICROSCOPE mission: first results of a space test of the Equivalence Principle
- Short Distance vs. Long Distance Physics: The Classical Limit of the Minimal Length Uncertainty Relation
- A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum
- Hydrogen-atom spectrum under a minimal-length hypothesis
- Lunar Laser Ranging Tests of the Equivalence Principle
- Corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
- Quantum corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
- A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum II: Applications
- Composite system in deformed space with minimal length
- Classical and quantum mechanics of the nonrelativistic Snyder model
- Exact solutions of the (2+1) Dimensional Dirac equation in a constant magnetic field in the presence of a minimal length
- Quantum Gravity Effects in Geodesic Motion and Predictions of Equivalence Principle Violation
- Deformed Heisenberg algebra with minimal length and equivalence principle
- Composite system in noncommutative space and the equivalence principle
- Multi-Particle States in Deformed Special Relativity
- Challenge to Macroscopic Probes of Quantum Spacetime Based on Noncommutative Geometry
- New generalized uncertainty principle from the doubly special relativity
- Particle Dynamics on Snyder space
- Weak equivalence principle in noncommutative phase space and the parameters of noncommutativity
- Parameters of noncommutativity in Lie-algebraic noncommutative space
- Snyder dynamics in a Schwarzschild spacetime
- Canonical DSR
- Deformed Heisenberg algebra and minimal length
- The Area Quantum and Snyder Space
- Quantum phase transitions of the Dirac oscillator in a minimal length scenario
- Macroscopic body in Snyder space and minimal length estimation
- Minimal length estimation on the basis of studies of the Sun-Earth-Moon system in deformed space