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The Standard-Model Extension (SME) provides a comprehensive effective field-theory framework for the study of CPT and Lorentz symmetry. This work reviews the structure and philosophy of the SME and provides some intuitive examples of…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Jay D. Tasson

A model of spontaneous Lorentz violation in four dimension is given, which seems to provide a Lorentz invariant effective theory. An SU(2) Yang-Mills gauge field and an auxiliary U(1) vector field generate gravity and other interactions…

General Physics · Physics 2021-03-31 Kimihide Nishimura

Theories that spontaneously break Lorentz invariance also violate diffeomorphism symmetries, implying the existence of extra degrees of freedom and modifications of gravity. In the minimal model (``ghost condensation'') with only a single…

High Energy Physics - Theory · Physics 2009-11-11 Hsin-Chia Cheng , Markus A. Luty , Shinji Mukohyama , Jesse Thaler

Lorentz symmetry is one of the pillars of both General Relativity and the Standard Model of particle physics. Motivated by ideas about quantum gravity, unification theories and violations of CPT symmetry, a significant effort has been put…

General Relativity and Quantum Cosmology · Physics 2016-12-02 Aurélien Hees , Quentin G. Bailey , Adrien Bourgoin , Hélène Pihan-Le Bars , Christine Guerlin , Christophe Le Poncin-Lafitte

Complementing previous theoretical and experimental work, we explore new types of short-range modifications to Newtonian gravity arising from spacetime-symmetry breaking. The first non-perturbative, i.e., to all orders in coefficients for…

General Relativity and Quantum Cosmology · Physics 2023-03-15 Quentin G. Bailey , Jennifer L. James , Janessa R. Slone , Kellie O'Neal-Ault

We investigate the problem of metric fluctuations in the presence of the vacuum fluctuations of matter fields and critically assess the usual assertion that vacuum energy implies a Planckian cosmological constant. A new stochastic classical…

General Relativity and Quantum Cosmology · Physics 2008-06-19 Charles H. -T. Wang , Paolo M. Bonifacio , Robert Bingham , J. Tito Mendonca

Finsler geometry has been recently re-discovered as an interesting possibility to describe spacetime geometry beyond Riemannian geometry. The most evident effect of this class of models is the prediction of modified dispersion relations for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 L. Sindoni

We investigate uncertainty relations for quantum observables evolving under non-Hermitian Hamiltonians, with particular emphasis on the role of metric operators. By constructing appropriate metrics in each dynamical regime, namely the…

Quantum Physics · Physics 2026-04-13 Yanet Alvarez , Mariela Portesi , Romina Ramirez , Marta Reboiro

In quantum mechanics, the variance-based Heisenberg-type uncertainty relations are a series of mathematical inequalities posing the fundamental limits on the achievable accuracy of the state preparations. In contrast, we construct and…

Quantum Physics · Physics 2015-06-15 Yao Yao , Xing Xiao , Xiaoguang Wang , C. P. Sun

Within a self-consistent framework of q-deformed Heisenberg algebra and its equivalent framework of q-deformed boson commutation relations, which relate to the under-cutting phenomenon of Heisenberg's minimal uncertainty relation, special…

High Energy Physics - Theory · Physics 2009-10-31 Per Osland , Jian-zu Zhang

Working in the context of a Lorentz-violating extension of the standard model we show that estimates of Lorentz symmetry violation extracted from ultra-high energy cosmic rays beyond the Greisen-Kuzmin-Zatsepin (GZK) cutoff allow for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 O. Bertolami , C. S. Carvalho

We analyze a dynamics of ultracold neutrons (UCNs) caused by interactions violating Lorentz invariance within the Standard Model Extension (SME) (Colladay and Kostelecky, Phys. Rev. D55, 6760 (1997) and Kostelecky, Phys. Rev. D69, 105009…

High Energy Physics - Phenomenology · Physics 2019-09-04 A. N. Ivanov , M. Wellenzohn , H. Abele

Lorentz symmetry (LS), one of the most fundamental physical symmetries, has been extensively studied in the context of quantum gravity and unification theories. Many of these theories predict a LS violation, which could arise from the…

General Relativity and Quantum Cosmology · Physics 2023-10-16 Cheng-Gang Qin , Jun Ke , Qin Li , Ya-Fen Chen , Jie Luo , Yu-Jie Tan , Cheng-Gang Shao

We discuss the Generalized Uncertainty Principle and the Extended Uncertainty Principle in the context of black hole solutions coming from non-local theories of gravity, focusing, specifically, on Infinite Derivative Gravity. We argue that…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Salvatore Capozziello , Giuseppe Meluccio , Jonas R. Mureika

We analyse the implications of the presence of spatial curvature in modified gravity models. As it is well known, the current standard cosmological model, the $\Lambda$CDM, is assumed to be spatially flat based on the results of many…

General Relativity and Quantum Cosmology · Physics 2024-12-03 Serena Gambino , Francesco Pace

By invoking quantum estimation theory we formulate bounds of errors in quantum measurement for arbitrary quantum states and observables in a finite-dimensional Hilbert space. We prove that the measurement errors of two observables satisfy…

Quantum Physics · Physics 2013-05-29 Yu Watanabe , Takahiro Sagawa , Masahito Ueda

In this work we investigate the spontaneous symmetry breaking (SSB) induced by a classical background spacetime's curvature, via the 2 particle irreducible (2PI) non-perturbative effective action formalism. We use the standard…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Vishal Nath , Kinsuk Roy , Sourav Bhattacharya

We investigate the Lorentz symmetry breaking effects (LSBE) on the deflection of light by a rotating cosmic string spacetime in the weak limit approximation. We first calculate the deflection angle by a static cosmic string for a fixed…

General Relativity and Quantum Cosmology · Physics 2017-08-02 Kimet Jusufi , İzzet Sakallı , Ali Övgün

We show that the Euclidean Snyder non-commutative space implies infinitely many different physical predictions. The distinct frameworks are specified by generalized uncertainty relations underlying deformed Heisenberg algebras. Considering…

High Energy Physics - Theory · Physics 2014-11-18 Marco Valerio Battisti , Stjepan Meljanac

Recently, [10,11], the Heisenberg Uncertainty relation and the No-Cloning property in Quantum Mechanics and Quantum Computation, respectively, have been extended to versions of Quantum Mechanics and Quantum Computation which are…

General Physics · Physics 2010-05-19 Elemer E Rosinger