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A class of gravity theories respecting spatial covariance and in the presence of non-dynamical auxiliary scalar fields with only spatial derivatives is investigated. Generally, without higher temporal derivatives in the metric sector, there…

General Relativity and Quantum Cosmology · Physics 2026-02-13 Jun-Cheng Zhu , Shu-Yu Li , Xian Gao

In Horava's theory of gravity, Lorentz symmetry is broken in exchange for renormalizability, but the original theory has been argued to be plagued with problems associated with a new scalar mode stemming from the very breaking of Lorentz…

High Energy Physics - Theory · Physics 2015-05-18 Tsutomu Kobayashi , Yuko Urakawa , Masahide Yamaguchi

In this paper, the issue how to introduce matter in Ho\v{r}ava-Lifshitz theories of gravity is addressed. This is a key point in order to complete the proper definition of these theories and, what is very important, to study their possible…

High Energy Physics - Theory · Physics 2011-11-04 Sante Carloni , Emilio Elizalde , Pedro J. Silva

The deformation of the relativistic dispersion relation caused by noncommutative (NC) Quantum Mechanics (QM) is studied using the extended phase-space formalism. The introduction of the additional commutation relations induces Lorentz…

Quantum Physics · Physics 2019-05-01 P. Leal , O. Bertolami

In Ashtekar's Hamiltonian formulation of general relativity, and in loop quantum gravity, Lorentz covariance is a subtle issue that has been strongly debated. Maintaining manifest Lorentz covariance seems to require introducing either…

General Relativity and Quantum Cosmology · Physics 2012-06-01 Steffen Gielen , Derek K. Wise

Some Quantum Gravity (QG) theories allow for a violation of Lorentz invariance (LIV), manifesting as a dependence of the velocity of light in vacuum on its energy. If such a dependence exists, then photons of different energies emitted…

We study the effects of explicit spacetime-symmetry breaking on primordial tensor fluctuations using an effective-field theory for Lorentz/CPT violation. We find that the graviton is still massless, but that the propagation speed of tensor…

General Relativity and Quantum Cosmology · Physics 2022-11-30 Nils A. Nilsson

We present a consistent, generally covariant quantization of light for non-vacuum birefringent, Lorentz-symmetry breaking electrodynamics in the context of the Standard Model Extension. We find that the number of light quanta in the field…

Quantum Physics · Physics 2012-10-19 Michael A. Hohensee , David F. Phillips , Ronald L. Walsworth

Short distance structure of spacetime may show up in the form of high freqency dispersion. Although such dispersion is not locally Lorentz invariant, we show in a scalar field model how it can nevertheless be incorporated into a generally…

High Energy Physics - Theory · Physics 2008-11-26 Ted Jacobson , David Mattingly

When four scalar fields with global Lorentz symmetry are coupled to gravity and take a vacuum expectation value breaking diffeomorphism invariance spontaneously, the graviton becomes massive. This model is supersymmetrized by considering…

High Energy Physics - Theory · Physics 2013-08-09 Ola Malaeb

We explore the possibility to geometrize the interaction of massive fermions with the quantum structure of space-time, trying to create a theoretical background, in order to explain what some recent experimental results seem to implicate on…

High Energy Physics - Phenomenology · Physics 2019-09-24 M. D. C. Torri , S. Bertini , M. Giammarchi , L. Miramonti

We consider the propagation of both fully coherent and partially coherent complex scalar fields, through linear shift-invariant imaging systems. The state of such imaging systems is characterized by a countable infinity of aberration…

Optics · Physics 2018-02-28 David M. Paganin , Timothy C. Petersen , Mario A. Beltran

We studied the low energy motion of particles in the general covariant version of Horava-Lifshitz gravity proposed by Horava and Melby-Thompson. Using a scalar field coupled to gravity according to the minimal substitution recipe proposed…

High Energy Physics - Theory · Physics 2011-12-22 Elcio Abdalla , Alan M. da Silva

In quantum theory of gravity, we expect the Lorentz Invariance Violation (LIV) and the modification of the dispersion relation between energy and momentum for photons. The effect of the energy-dependent velocity due to the modified…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-24 Yu Pan , Yungui Gong , Shuo Cao , He Gao , Zong-Hong Zhu

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…

General Relativity and Quantum Cosmology · Physics 2019-10-15 Jarod George Kelly , Sanjeev S. Seahra

Horava-Lifshitz gravity, a recent proposal for a UV-complete renormalizable gravity theory, may lead to a bouncing cosmology. In this note we argue that Horava-Lifshitz cosmology may yield a concrete realization of the matter bounce…

High Energy Physics - Theory · Physics 2013-05-29 Robert Brandenberger

Lorentz violation (LV) is predicted by some quantum gravity (QG) candidates, wherein the canonical energy-momentum dispersion relation, $E^2=p^2+m^2$, is modified. Consequently, new phenomenons beyond the standard model are predicted.…

High Energy Physics - Phenomenology · Physics 2010-12-07 Lijing Shao , Bo-Qiang Ma

A method is presented for deducing classical point-particle Lagrange functions corresponding to a class of quartic dispersion relations. Applying this to particles violating Lorentz symmetry in the minimal Standard-Model Extension leads to…

High Energy Physics - Theory · Physics 2015-09-25 Neil Russell

A consistent theory of faster-than-light particles (tachyons) can be built replacing the standard Lorentz-invariant approach to the quantum field theory of tachyons by the Lorentz-covariant one, invoking a concept of the preferred reference…

General Physics · Physics 2019-06-17 Vassili F. Perepelitsa

We study possible links between quantum gravity phenomenology encoding Lorentz violations as nonlinear dispersions, the Einstein-Finsler gravity models, EFG, and nonholonomic (non-integrable) deformations to Ho\v{r}ava-Lifshitz, HL, and/or…

Mathematical Physics · Physics 2013-03-15 Sergiu I. Vacaru