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We set up a covariant renormalisation group equation on a foliated spacetime which preserves background diffeomorphism symmetry. As a first application of the new formalism, we study the effect of quantum fluctuations in Lorentz symmetry…

高能物理 - 理论 · 物理学 2019-03-27 Benjamin Knorr

Most current models of Lorentz symmetry violation (LSV) at the Planck scale involve power-like extrapolations of the Lorentz-beaking term down to accelerator and even much lower energies. It is therefore assumed that no intermediate energy…

高能物理 - 唯象学 · 物理学 2007-05-23 Luis Gonzalez-Mestres

We derive the Boltzmann equation in the synchronous gauge for massive neutrinos with a deformed dispersion relation. Combining the 7-year WMAP data with lower-redshift measurements of the expansion rate, we give constraints on the…

宇宙学与河外天体物理 · 物理学 2012-09-06 Zong-Kuan Guo , Qing-Guo Huang , Rong-Gen Cai , Yuan-Zhong Zhang

Relativistic deformed kinematics leads to a loss of the absolute locality of interactions. In previous studies, some models of noncommutative spacetimes in a two-particle system that implements locality were considered. In this work, we…

高能物理 - 理论 · 物理学 2025-04-07 J. J. Relancio

The Poincar\'e sector of a recently deformed conformal algebra is proposed to describe, after the identification of the deformation parameter with the Planck length, the symmetries of a new relativistic theory with two observer-independent…

高能物理 - 理论 · 物理学 2016-11-09 Nicola Rossano Bruno

The quest for a quantum gravity phenomenology has inspired a quantum notion of space-time, which motivates us to study the fate of the relativistic symmetries of a particular model of quantum space-time, as well as its intimate connection…

高能物理 - 理论 · 物理学 2023-07-21 Partha Nandi , Anwesha Chakraborty , Sayan Kumar Pal , Biswajit Chakraborty , Frederik G Scholtz

Quantum groups and non-commutative spaces have been repeatedly utilized in approaches to quantum gravity. They provide a mathematically elegant cut-off, often interpreted as related to the Planck-scale quantum uncertainty in position. We…

广义相对论与量子宇宙学 · 物理学 2011-08-09 Eugenio Bianchi , Carlo Rovelli

This article studies the breaking of the Lorentz symmetry at the Planck length in quantum mechanics. We use three-dimensional p-adic vectors as position variables, while the time remains a real number. In this setting, the Planck length is…

量子物理 · 物理学 2024-07-08 W. A. Zúñiga-Galindo

Studies of the effective regime of loop quantum gravity (LQG) revealed that, in the limit of Planckian curvature scales, spacetime may undergo a transition from the Lorentzian to Euclidean signature. This effect is a consequence of quantum…

高能物理 - 理论 · 物理学 2017-07-21 Jakub Mielczarek , Tomasz Trześniewski

Theories with Planck-scale deformed symmetries exhibit quantum time evolution in which purity of the density matrix is not preserved. In particular we show that the non-trivial structure of momentum space of these models is reflected in a…

高能物理 - 理论 · 物理学 2014-07-16 Michele Arzano

Constraints from clock-comparison experiments on violations of Lorentz and CPT symmetry are investigated in the context of a general Lorentz-violating extension of the standard model. The experimental signals are shown to depend on the…

高能物理 - 唯象学 · 物理学 2009-09-25 Alan Kostelecky , Charles Lane

A general formalism is presented for violations of Lorentz and CPT symmetry in the neutrino sector. The effective hamiltonian for neutrino propagation in the presence of Lorentz and CPT violation is derived, and its properties are studied.…

高能物理 - 唯象学 · 物理学 2009-09-25 Alan Kostelecky , Matthew Mewes

Lorentz symmetry violation (LSV) can be generated at the Planck scale, or at some other fundamental length scale, and naturally preserve Lorentz symmetry as a low-energy limit (deformed Lorentz symmetry, DLS). DLS can have important…

高能物理 - 理论 · 物理学 2007-05-23 Luis Gonzalez-Mestres

Possible signals for indirect CPT violation arising in experiments with neutral kaons are considered in the context of a general CPT- and Lorentz-violating standard-model extension. Certain CPT observables can depend on the meson momentum…

高能物理 - 唯象学 · 物理学 2007-05-23 Alan Kostelecky

We demonstrate a compatibility between the relativity principle and the clock postulate in deformed special relativity, by identifying the relevant deformed Lorentz transformations in position space between arbitrary frames. This result…

广义相对论与量子宇宙学 · 物理学 2023-12-18 Pedro H. Morais , Iarley P. Lobo , Christian Pfeifer , Rafael Alves Batista , Valdir B. Bezerra

A CP violating kinematic structure is presented. The essential physical input is to question the textbook wisdom, ``Now when a particle is at rest, one cannot define its spin as either left- or right-handed, so phi_R(0) = phi_L(0),'' as…

高能物理 - 唯象学 · 物理学 2011-06-16 D. V. Ahluwalia

Phenomenological approaches to quantum gravity try to infer model-independent laws by analyzing thought experiments and combining both quantum, relativistic, and gravitational ingredients. We first review these ingredients -three basic…

广义相对论与量子宇宙学 · 物理学 2013-08-21 Jean-Philippe Bruneton

Several phenomenological approaches to quantum gravity predict the existence of a minimal measurable length and/or a maximum measurable momentum near the Planck scale. When embedded into the framework of quantum mechanics, such constraints…

广义相对论与量子宇宙学 · 物理学 2023-05-30 Eissa Al-Nasrallah , Saurya Das , Fabrizio Illuminati , Luciano Petruzziello , Elias C. Vagenas

Lorentz symmetry violation (LSV) can be generated at the Planck scale, or at some other fundamental length scale, and naturally preserve Lorentz symmetry as a low-energy limit (deformed Lorentz symmetry, DLS). DLS can have important…

高能物理 - 理论 · 物理学 2007-05-23 Luis Gonzalez-Mestres

In the process of work it has been found that space-time quantum fluctuations are naturally described in terms of the deformation parameter introduced on going from the well-known quantum mechanics to that at Planck scales and put forward…

综合物理 · 物理学 2013-06-13 A. E. Shalyt-Margolin