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We propose uncertainty relations for the different coordinates of spacetime events, motivated by Heisenberg's principle and by Einstein's theory of classical gravity. A model of Quantum Spacetime is then discussed where the commutation…

High Energy Physics - Theory · Physics 2015-06-26 Sergio Doplicher , Klaus Fredenhagen , John E. Roberts

The spin supplementary conditions are constraints on spin degrees of freedom in classical relativity which restricts physical degrees of freedom to rotations. It is argued that the equivalent constraints in quantum field theory are the…

High Energy Physics - Theory · Physics 2023-07-11 Jung-Wook Kim , Jan Steinhoff

We generalize the formerly proposed relationship between a special complex geometry (originating from the structure of biquaternion algebra) and induced real geometry of (extended) space-time. The primordial dynamics in complex space allows…

General Physics · Physics 2011-05-17 Vladimir V. Kassandrov

A review is given of recent work on topology changing solutions to the first order form of general relativity. These solutions have metrics which are smooth everywhere, invertible almost everywhere, and have bounded curvature. The…

High Energy Physics - Theory · Physics 2007-05-23 Gary T. Horowitz

Without a complete theory of quantum gravity, the question of how quantum fields and quantum particles behave in a superposition of spacetimes seems beyond the reach of theoretical and experimental investigations. Here we use an extension…

We discuss the interplay of wave packet decoherence and decoherence induced by quantum gravity via interactions with spacetime foam for high energy astrophysical neutrinos. In this context we point out a compelling consequence of the…

High Energy Physics - Phenomenology · Physics 2022-03-23 Dominik Hellmann , Heinrich Päs , Erika Rani

To investigate the possibility that intrinsic gravitational decoherence can be theoretically demonstrated within canonical quantum gravity, we develop a model of a self-gravitating interferometer. We search for evidence in the resulting…

General Relativity and Quantum Cosmology · Physics 2014-09-05 Cisco Gooding , William G. Unruh

Quantum coherence constitutes a foundational characteristic of quantum mechanics and is integral to emerging quantum resource theories. However, quantum coherence is severely restricted by environmental noise in general quantum processing,…

Quantum Physics · Physics 2024-05-24 Qing-Hua Zhang , Shao-Ming Fei

We consider a wave packet of a spin-1/2 particle in a gravitational field, the effect of which can be described in terms of a succession of local inertial frames. It is shown that integrating out of the momentum yields a spin mixed state,…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Yue Dai , Yu Shi

We study the pairing correlations in a finite Fermi system from quantum entanglement point of view. We investigate the relation between the order parameter, which has been introduced recently to describe both finite and infinite…

Superconductivity · Physics 2009-11-07 Zafer Gedik

In this review, we discuss the decoherence and thermalization of a quantum spin system interacting with a spin bath environment, by numerically solving the time-dependent Schr\"{o}dinger equation of the whole system. The effects of the…

Quantum Physics · Physics 2010-05-27 Shengjun Yuan

Canonical methods allow the derivation of effective gravitational actions from the behavior of space-time deformations reflecting general covariance. With quantum effects, the deformations and correspondingly the effective actions change,…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Martin Bojowald , George M. Paily

The conformal transformation in the Einstein - Hilbert action leads to a new frame where an extra scalar degree of freedom is compensated by the local conformal-like symmetry. We write down a most general action resulting from such…

High Energy Physics - Theory · Physics 2010-11-01 Ilya L. Shapiro , Hiroyuki Takata

It is commonly accepted that the combination of quantum mechanics and general relativity gives rise to the emergence of a minimum uncertainty both in space and time. The arguments that support this conclusion are mainly based on…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Pablo Galan , Guillermo A. Mena Marugan

Given a quantum system consisting of many parts, we show that symmetry of the system's state, i.e., invariance under swappings of the subsystems, implies that almost all of its parts are virtually identical and independent of each other.…

Quantum Physics · Physics 2011-11-09 Renato Renner

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…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Eissa Al-Nasrallah , Saurya Das , Fabrizio Illuminati , Luciano Petruzziello , Elias C. Vagenas

In this article, we study the Sagnac effect for spin-$1/2$ particles through local Wigner rotations according to the framework developed by [H. Terashima and M. Ueda, Phys. Rev. A 69, 032113 (2004)]. Since the spin of the particle plays the…

Quantum Physics · Physics 2022-01-21 Marcos L. W. Basso , Jonas Maziero

A general theory of preparational uncertainty relations for a quantum particle in one spatial dimension is developed. We derive conditions which determine whether a given smooth function of the particle's variances and its covariance is…

Quantum Physics · Physics 2016-10-18 Spiros Kechrimparis , Stefan Weigert

In this paper we study the nonlocal effects of noncommutative spacetime on simple physical systems. Our main point is the assumption that the noncommutative effects are consequences of a background field which generates a local spin…

High Energy Physics - Theory · Physics 2009-11-11 L. P. Colatto , A. L. A. Penna , W. C. Santos

We show how the decoherence that occurs in an entangling atomic spin-light interface can be simply modeled as the dynamics of a bosonic mode. Although one seeks to control the collective spin of the atomic system in the permutationally…

Quantum Physics · Physics 2024-12-05 Andrew Kolmer Forbes , Philip Daniel Blocher , Ivan H. Deutsch