Velocity-dependent deformations of the energy spectrum of a quantum cavity from Lorentz symmetry violations
arXiv:1812.06047 · doi:10.1103/PhysRevD.100.064002
Abstract
Several approaches to quantum gravity suggest that Lorentz invariance will be broken at high energy. This can lead to modified dispersion relations for wave propagation, which can be concretely realized in effective field theories where the equation of motion involves higher order spatial derivatives in a preferred frame. We consider such a model in the presence of a finite cavity whose walls follow parallel inertial trajectories of speed with respect to the preferred frame. We find evidence that when the cavity wall speed exceeds the phase velocity, the system becomes classically unstable. For dispersion relations that do not lead to an instability, the energy levels of the cavity are non-trivial functions of . In other words, an observer could in principle measure their velocity with respect to the preferred frame by studying the energy spectra of a quantum cavity, which is a stark violation of the principle of relativity. We also find that the energy levels of the cavity become infinitely large as its velocity approaches light speed.
arXiv comment17 pages, many references added, introduction expanded, discussion on instabilities expanded. Matches version published in PRD
References in corpus (68)
- String Theory and Noncommutative Geometry
- Lorentz-Violating Extension of the Standard Model
- Noncommutative Field Theory
- CPT Violation and the Standard Model
- Data Tables for Lorentz and CPT Violation
- Gravity, Lorentz Violation, and the Standard Model
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- Modern tests of Lorentz invariance
- Noncommutative Field Theory and Lorentz Violation
- Nonstandard optics from quantum spacetime
- Gravity with a dynamical preferred frame
- Ghost Condensation and a Consistent Infrared Modification of Gravity
- Testable scenario for Relativity with minimum-length
- Signals for Lorentz Violation in Electrodynamics
- Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
- Stability, Causality, and Lorentz and CPT Violation
- Electrodynamics with Lorentz-violating operators of arbitrary dimension
- Quantum gravity corrections to neutrino propagation
- CPT Violation Implies Violation of Lorentz Invariance
- Tests of Lorentz invariance: a 2013 update
- Hawking Spectrum and High Frequency Dispersion
- Einstein-Aether Waves
- Constraints on Lorentz violation from clock-comparison experiments
- Loop quantum gravity and light propagation
- Modern Michelson-Morley experiment using cryogenic optical resonators
- Perturbative analysis on infrared aspects of noncommutative QED on R^4
- Expectation Values, Lorentz Invariance, and CPT in the Open Bosonic String
- Construction of non-Abelian gauge theories on noncommutative spaces
- CPT and Lorentz Tests in Penning Traps
- Introduction to Doubly Special Relativity
- Deformed Boost Transformations That Saturate at the Planck Scale
- Testing CPT with Anomalous Magnetic Moments
- Constraints on Lorentz Invariance Violation from Fermi-Large Area Telescope Observations of Gamma-Ray Bursts
- Testing Non-commutative QED, Constructing Non-commutative MHD
- Rotating optical cavity experiment testing Lorentz invariance at the 10^{-17} level
- Low-energy Limits on the Antisymmetric Tensor Field Background on the Brane and on the Non-commutative Scale
- Quantum Gravity Phenomenology, Lorentz Invariance and Discreteness
- Bounding Noncommutative QCD
- Comments on Non-Commutative Phenomenology
- Test of constancy of speed of light with rotating cryogenic optical resonators
- Overview of the SME: Implications and Phenomenology of Lorentz Violation
- Can We See Lorentz-Violating Vector Fields in the CMB?
- Test of the isotropy of the speed of light using a continuously rotating optical resonator
- Quantum gravity and spin 1/2 particles effective dynamics
- Improved Test of Lorentz Invariance in Electrodynamics
- Direct Terrestrial Test of Lorentz Symmetry in Electrodynamics to 10
- Improved test of Lorentz Invariance in Electrodynamics using Rotating Cryogenic Sapphire Oscillators
- Off-shell structure of the string sigma model
- Electromagnetic cavities and Lorentz invariance violation
- Lorentz Violation and Ultrahigh-Energy Photons
- Testing Lorentz invariance by use of vacuum and matter filled cavity resonators
- A New Limit on Planck Scale Lorentz Violation from Gamma-ray Burst Polarization
- Spontaneous Breaking of Lorentz Invariance
- Lorentz and CPT Tests with Clock-Comparison Experiments
- Improved limits on Lorentz invariance violation from astrophysical gamma-ray sources
- Optical-cavity tests of higher-order Lorentz violation
- Bounds on Stringy Quantum Gravity from Low Energy Existing Data
- High energy modifications of blackbody radiation and dimensional reduction
- Mesoscopic Fluctuations in Stochastic Spacetime
- Low energy Lorentz violation from modified dispersion at high energies
- Constraining Anisotropic Lorentz Violation via the Spectral-Lag Transition of GRB 160625B
- Extended Hamiltonian Formalism and Lorentz-Violating Lagrangians
- Bounds on higher-order Lorentz-violating photon sector coefficients from an asymmetric optical ring resonator experiment
- Lorentz breaking Effective Field Theory and observational tests
- Quantization of Space-like States in Lorentz-Violating Theories
- Testing Relativity with Orbiting Oscillators
- Probing Relativity using Space-Based Experiments
- Some Considerations Regarding Lorentz-Violating Theories