On Quantum Gravity Tests with Composite Particles

Abstract

Models of quantum gravity imply a fundamental revision of our description of position and momentum that manifests in modifications of the canonical commutation relations. Experimental tests of such modifications remain an outstanding challenge. These corrections scale with the mass of test particles, which motivates experiments using macroscopic composite particles. Here we consider a challenge to such tests, namely that quantum gravity corrections of canonical commutation relations are expected to be suppressed with increasing number of constituent particles. Since the precise scaling of this suppression is unknown, it needs to be bounded experimentally and explicitly incorporated into rigorous analyses of quantum gravity tests. We analyse this scaling based on concrete experiments involving macroscopic pendula and provide tight bounds that exceed those of current experiments based on quantum mechanical oscillators. Furthermore, we discuss possible experiments that promise even stronger bounds thus bringing rigorous and well-controlled tests of quantum gravity closer to reality.

arXiv comment9 pages, 1 figure. Comments are welcome. Updated to published version

References in corpus (33)

• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
• Quantum gravity and minimum length
• A Generalized Uncertainty Principle in Quantum Gravity
• Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
• Generalized Lorentz invariance with an invariant energy scale
• Universality of Quantum Gravity Corrections
• Discreteness of Space from the Generalized Uncertainty Principle
• Probing Planck-scale physics with quantum optics
• The algebraic structure of the generalized uncertainty principle
• On Gravity and the Uncertainty Principle
• A proposal for testing Quantum Gravity in the lab
• Minimal Length Uncertainty Relation and Hydrogen Atom
• Exact Solution of the Harmonic Oscillator in Arbitrary Dimensions with Minimal Length Uncertainty Relations
• Short Distance vs. Long Distance Physics: The Classical Limit of the Minimal Length Uncertainty Relation
• Gravitational tests of the Generalized Uncertainty Principle
• Probing deformed commutators with macroscopic harmonic oscillators
• Wave-Particle duality at the Planck scale: Freezing of neutrino oscillations
• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum II: Applications
• Room temperature test of the Continuous Spontaneous Localization model using a levitated micro-oscillator
• Testing of Generalized Uncertainty Principle With Macroscopic Mechanical Oscillators and Pendulums
• Motional Dynamical Decoupling for Matter-Wave Interferometry
• Cooling the Motion of a Silica Microsphere in a Magneto-Gravitational Trap in Ultra-High Vacuum
• Testing quantum gravity by nanodiamond interferometry with nitrogen-vacancy centers
• Challenge to Macroscopic Probes of Quantum Spacetime Based on Noncommutative Geometry
• Relative locality and the soccer ball problem
• Amplified transduction of Planck-scale effects using quantum optics
• Planck scale Corrections to the Harmonic Oscillator, Coherent and Squeezed States
• Quantum-optical tests of Planck-scale physics
• Coherent States of Harmonic Oscillator and Generalized Uncertainty Principle
• On the Stability of Planetary Circular Orbits in Noncommutative Spaces
• Coherent States in Gravitational Quantum Mechanics
• Indirect Probe of Quantum Gravity using Molecular Wave-packets

Cited by in corpus (35)

• Quantum gravitational decoherence from fluctuating minimal length and deformation parameter at the Planck scale
• 30 years in: Quo vadis generalized uncertainty principle?
• Massive quantum systems as interfaces of quantum mechanics and gravity
• High-Q magnetic levitation and control of superconducting microspheres at millikelvin temperatures
• Challenging theories of dark energy with levitated force sensor
• Bekenstein bound and uncertainty relations
• On the Significance of Interferometric Revivals for the Fundamental Description of Gravity
• Gravitationally induced uncertainty relations in curved backgrounds
• Universality of minimal length
• Spin operator, Bell nonlocality and Tsirelson bound in quantum-gravity induced minimal-length quantum mechanics
• Probing quantum gravity effects with quantum mechanical oscillators
• Gravitational interaction through a feedback mechanism
• Detecting the effects of quantum gravity with exceptional points in optomechanical sensors
• Improved constraints on minimum length models with a macroscopic low loss phonon cavity
• Constraining GUP Models Using Limits on SME Coefficients
• A framework for nonrelativistic isotropic models based on generalized uncertainty principles
• The Mass Gap of the Space-time and its Shape
• Quantum gravitational decoherence of a mechanical oscillator from spacetime fluctuations
• Theoretical and Observational Implications of Planck's Constant as a Running Fine Structure Constant
• A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
• Large amplitude mechanical coherent states and detection of weak nonlinearities in cavity optomechanics
• Reconciling microscopic and macroscopic tests of the Compton-Schwarzschild correspondence
• Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect
• Generalized Uncertainty Principle from the Regularized Self-Energy
• Many-body probes for quantum features of spacetime
• Towards quantum Mechanics on the curved cotangent bundle
• Generalized Uncertainty Principle: from the harmonic oscillator to a QFT toy model
• Non-Heisenbergian quantum mechanics
• Preons, Braid Topology, and Representations of Fundamental Particles
• Gravity as a classical channel and its dissipative generalization
• GUP/BEB correspondence
• Spontaneous Lorentz symmetry violation from infrared gravity
• Classifying deviation from standard quantum behavior using Kullback Leibler divergence
• A formula for the overlap between Generalized Coherent States of any rank one simple Lie algebra
• Revisiting the algebraic structure of the generalized uncertainty principle