scholarly journals Parameter estimation for a Lorentz invariance violation

2019 ◽  
Vol 28 (01) ◽  
pp. 1950028 ◽  
Author(s):  
H. A. S. Costa ◽  
P. R. S. Carvalho ◽  
I. G. da Paz
Keyword(s):  
Parameter Estimation ◽  
Lorentz Invariance ◽  
Planck Scale ◽  
Lorentz Violation ◽  
Quantum Fisher Information ◽  
3 Dimensional ◽  
Flat Spacetime ◽  
Invariance Violation ◽  
Lorentz Invariance Violation ◽  
Specific Momentum

We employ techniques from quantum estimation theory (QET) to estimate the Lorentz violation parameters in the (1+3)-dimensional flat spacetime. We obtain and discuss the expression of the quantum Fisher information (QFI) in terms of the Lorentz violation parameter [Formula: see text] and the momentum [Formula: see text] of the created particles. We show that the maximum QFI is achieved for a specific momentum [Formula: see text]. We also find that the optimal precision of estimation of the Lorentz violation parameter is obtained near the Planck scale.

scholarly journals Lorentz Violation Footprints in the Spectrum of High-Energy Cosmic Neutrinos—Deformation of the Spectrum of Superluminal Neutrinos from Electron-Positron Pair Production in Vacuum

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1419 ◽  
Author(s):  
José Manuel Carmona ◽  
José Luis Cortés ◽  
José Javier Relancio ◽  
Maykoll Anthonny Reyes
Keyword(s):  
Pair Production ◽  
Numerical Simulations ◽  
Lorentz Invariance ◽  
Lorentz Violation ◽  
High Energy ◽  
Energy Scale ◽  
Invariance Violation ◽  
Electron Positron ◽  
Lorentz Invariance Violation ◽  
Electron Positron Pair

The observation of cosmic neutrinos up to 2 PeV is used to put bounds on the energy scale of Lorentz invariance violation through the loss of energy due to the production of e + e - pairs in the propagation of superluminal neutrinos. A model to study this effect, which allows us to understand qualitatively the results of numerical simulations, is presented.

scholarly journals HIGH ENERGY NEUTRINO OSCILLATION AT THE PRESENCE OF THE LORENTZ INVARIANCE VIOLATION

2012 ◽  
Vol 27 (19) ◽  
pp. 1250104 ◽  
Author(s):  
IMAN MOTIE ◽  
SHE-SHENG XUE
Keyword(s):  
Neutrino Oscillation ◽  
Lorentz Invariance ◽  
Planck Scale ◽  
High Energy ◽  
Oscillation Pattern ◽  
High Energies ◽  
Invariance Violation ◽  
Lorentz Invariance Violation ◽  
Very High Energy ◽  
Very High

Due to quantum gravity fluctuations at the Planck scale, the space–time manifold is no longer continuous, but discretized. As a result the Lorentz symmetry is broken at very high energies. In this paper, we study the neutrino oscillation pattern due to the Lorentz invariance violation (LIV), and compare it with the normal neutrino oscillation pattern due to neutrino masses. We find that at very high energies, neutrino oscillation pattern is very different from the normal one. This could provide an possibility to study the Lorentz invariance violation by measuring the oscillation pattern of very high energy neutrinos from a cosmological distance.

COSMOLOGICAL MEASUREMENTS OF LORENTZ INVARIANCE VIOLATION AT THE LIFŠHITZ POINT

2012 ◽  
Vol 21 (08) ◽  
pp. 1250070 ◽  
Author(s):  
ORLANDO LUONGO ◽  
DAMIANO TOMMASINI
Keyword(s):  
Gamma Ray ◽  
Lorentz Invariance ◽  
A Priori ◽  
Planck Scale ◽  
Chaplygin Gas ◽  
Einstein Equations ◽  
Lifshitz Point ◽  
Invariance Violation ◽  
Lorentz Invariance Violation ◽  
Neutrino Fluxes

We consider the neutrino fluxes and photon lensing from Gamma Ray Bursts and galaxy shocks, in order to predict measurable quantum corrections at late times. In particular, changes of the Einstein shell condition are expected to modify the time delay of neutrinos and photons at the Planck scale. Hence, we study the consequences of the Lorentz invariance violation through the use of such photons and neutrinos. The Lorentz invariance violation is expected to depend on the cosmological model, considered a priori in the Einstein equations; therefore, we focus on the so-called Hořava model which has recently attracted great interest. In addition, we compare our results with the ΛCDM and modified Chaplygin gas models, respectively. We infer several theoretical constraints which could reveal such quantum gravity effects.

scholarly journals Signatures of Lorentz Violation in Continuous Gravitational-Wave Spectra of Ellipsoidal Neutron Stars

Galaxies ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 12
Author(s):  
Rui Xu ◽  
Yong Gao ◽  
Lijing Shao
Keyword(s):  
Neutron Stars ◽  
Second Harmonic ◽  
Lorentz Invariance ◽  
Lorentz Violation ◽  
Wave Spectra ◽  
Standard Model Extension ◽  
Invariance Violation ◽  
Model Extension ◽  
Lorentz Invariance Violation ◽  
Frequency Components

We studied the effects of the Lorentz invariance violation on the rotation of neutron stars (NSs) in the minimal gravitational Standard-Model Extension framework, and calculated the quadrupole radiation generated by them. Aiming at testing Lorentz invariance with observations of continuous gravitational waves (GWs) from rotating NSs in the future, we compared the GW spectra of a rotating ellipsoidal NS under Lorentz-violating gravity with those of a Lorentz-invariant one. The former were found to possess frequency components higher than the second harmonic, which does not happen for the latter, indicating those higher frequency components to be potential signatures of Lorentz violation in continuous GW spectra of rotating NSs.

scholarly journals A Planck-scale limit on spacetime fuzziness and stochastic Lorentz invariance violation

2015 ◽  
Vol 11 (4) ◽  
pp. 344-346 ◽  
Author(s):  
Vlasios Vasileiou ◽  
Jonathan Granot ◽  
Tsvi Piran ◽  
Giovanni Amelino-Camelia
Keyword(s):  
Lorentz Invariance ◽  
Planck Scale ◽  
Invariance Violation ◽  
Lorentz Invariance Violation ◽  
Scale Limit

scholarly journals LORENTZ INVARIANCE VIOLATION MATRIX FROM A GENERAL PRINCIPLE

2010 ◽  
Vol 25 (29) ◽  
pp. 2489-2499 ◽  
Author(s):  
LINGLI ZHOU ◽  
BO-QIANG MA
Keyword(s):  
General Principle ◽  
Lorentz Invariance ◽  
Lorentz Violation ◽  
Mathematical Background ◽  
Effective Lagrangian ◽  
Invariance Violation ◽  
Physical Independence ◽  
Lorentz Invariance Violation ◽  
The Common ◽  
Minimal Standard

We show that a general principle of physical independence or physical invariance of mathematical background manifold leads to a replacement of the common derivative operators by the covariant co-derivative ones. This replacement naturally induces a background matrix, by means of which we obtain an effective Lagrangian for the minimal standard model with supplement terms characterizing Lorentz invariance violation or anisotropy of spacetime. We construct a simple model of the background matrix and find that the strength of Lorentz violation of proton in the photopion production is of the order 10-23.

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