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Causal rigid particles whose action includes an {\it arbitrary} dependence on the world-line extrinsic curvature are considered. General classes of solutions are constructed, including {\it causal tachyonic} ones. The Hamiltonian…

高能物理 - 理论 · 物理学 2009-10-22 Jan Govaerts

In this paper we introduce a new general framework for the study of phenomenological quantum gravity theories (PQG). The key idea is the introduction of two different types of spacetime, an observer-independent spacetime (modeled by a…

广义相对论与量子宇宙学 · 物理学 2026-04-21 Andrea Bevilacqua , Alice Boldrin

The causal set approach to quantum gravity is based on the hypothesis that the underlying structure of spacetime is that of a random partial order. We survey some of the interesting mathematics that has arisen in connection with the causal…

组合数学 · 数学 2015-10-20 Graham Brightwell , Malwina Luczak

In this paper we discuss Internal Relativity, a recent program to address the problem of quantum gravity. In our approach we change the relationship between spacetime and matter. Currently we view matter as propagating on spacetime.…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Olaf Dreyer

We discuss the notion of causality in Quantum Gravity in the context of sum-over-histories approaches, in the absence therefore of any background time parameter. In the spin foam formulation of Quantum Gravity, we identify the appropriate…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Daniele Oriti

A Lorentz invariant statistical model is presented for rotational fluctuations in the local inertial frame that arise from new quantum degrees of freedom of space-time. The model assumes invariant classical causal structure, and a Planck…

广义相对论与量子宇宙学 · 物理学 2017-06-09 Craig Hogan , Ohkyung Kwon , Jonathan Richardson

We begin with a brief summary of issues encountered involving causality in quantum theory, placing careful emphasis on the assumptions involved in results such as the EPR paradox and Bell's inequality. We critique some solutions to the…

量子物理 · 物理学 2017-05-23 Blake K Winter

Quantum field theory (QFT) in classical spacetime has revealed interesting and puzzling aspects about gravitational systems, in particular black hole thermodynamics and its information processing. Although quantum gravitational effects may…

量子物理 · 物理学 2018-05-24 Ding Jia

We pursue the view that quantum theory may be an emergent structure related to large space-time scales. In particular, we consider classical Hamiltonian systems in which the intrinsic proper time evolution parameter is related through a…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Hans-Thomas Elze

A systematic study of the different phases of Lorentz-breaking massive gravity in a curved background is performed. For tensor and vector modes, the analysis is very close to that of Minkowski space. The most interesting results are in the…

高能物理 - 理论 · 物理学 2009-09-01 D. Blas , D. Comelli , F. Nesti , L. Pilo

Subtle problems in the theory of neutrino oscillations in vacuum are discussed. It is shown that Lorentz invariance implies that in general flavor neutrinos in oscillation experiments are superpositions of massive neutrinos with different…

高能物理 - 唯象学 · 物理学 2007-05-23 C. Giunti

The last decade of research on $\kappa$-Minkowski noncommutative spacetime has been strongly characterized by a controversy concerning the speed of propagation of massless particles. Most arguments suggested that this speed should depend on…

高能物理 - 理论 · 物理学 2011-07-13 Giovanni Amelino-Camelia , Niccoló Loret , Giacomo Rosati

It has been known for some time now that error correction plays a fundamental role in the determining the emergence of semiclassical geometry in quantum gravity. In this work I connect several different lines of reasoning to argue that this…

高能物理 - 理论 · 物理学 2022-05-18 Deepak Vaid

We have recently argued that if one introduces a relational time in quantum mechanics and quantum gravity, the resulting quantum theory is such that pure states evolve into mixed states. The rate at which states decohere depends on the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Rodolfo Gambini , Rafael Porto , Jorge Pullin

After reviewing the definitions of classical and quantum singularities, it is shown by example that if zeroth-order curvature invariants are regular, a diverging higher-order curvature invariant does not necessarily imply the existence of a…

广义相对论与量子宇宙学 · 物理学 2010-06-21 D. A. Konkowski , T. M. Helliwell

A discrete model of Lorentzian quantum gravity is proposed. The theory is completely background free, containing no reference to absolute space, time, or simultaneity. The states at one slice of time are networks in which each vertex is…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Aron C. Wall

The possibility of variations of the values of fundamental constants is a phenomenon predicted by a number of scenarios beyond General Relativity. This can happen if ``our'' fundamental constants are not the actual constants of the…

广义相对论与量子宇宙学 · 物理学 2024-07-12 Cosimo Bambi

Analogue models of gravity have provided an experimentally realizable test field for our ideas on quantum field theory in curved spacetimes but they have also inspired the investigation of possible departures from exact Lorentz invariance…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Stefano Liberati

General relativity and its cosmological solution predicts the existence of tensor modes of perturbations evolving on top of our Friedman-Lema\^itre-Robertson-Walker expanding Universe. Being gauge invariant and not necessarily coupled to…

广义相对论与量子宇宙学 · 物理学 2023-01-20 Amaury Micheli , Patrick Peter

Trying to combine standard quantum field theories with gravity leads to a breakdown of the usual structure of space-time at around the Planck length, 1.6*10^{-35} m, with possible violations of Lorentz invariance. Calculations of…

广义相对论与量子宇宙学 · 物理学 2010-04-06 John Collins , Alejandro Perez , Daniel Sudarsky , Luis Urrutia , Héctor Vucetich