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Any canonical quantum theory can be understood to arise from the compatibility of the statistical geometry of distinguishable observations with the canonical Poisson structure of Hamiltonian dynamics. This geometric perspective offers a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Vishnu Jejjala , Djordje Minic , Chia-Hsiung Tze

We propose a simple experimental test of the quantum equivalence principle introduced by Zych and Brukner [arXiv:1502.00971], which generalises the Einstein equivalence principle to superpositions of internal energy states. We consider a…

Quantum Physics · Physics 2016-09-13 Patrick J. Orlando , Robert B. Mann , Kavan Modi , Felix A. Pollock

Gravity gradient is known as a serious systematic effect in atomic tests of the universality of free fall, where the initial central position and velocity of atoms need to be exactly controlled. In this paper, we study quantum free fall…

Quantum Physics · Physics 2020-01-15 M. Zhang , Y. Wang

Experiments that look for nonlinear quantum dynamics test the fundamental premise of physics that one of two separate systems can influence the physical behavior of the other only if there is a force between them, an interaction that…

Quantum Physics · Physics 2013-05-29 Thomas F. Jordan

The uncertainty principle is one of the characteristic properties of quantum theory, where it signals the incompatibility of two types of measurements. In this paper, we argue that measurements of time-of-arrival $T_x$ at position $x$ and…

Quantum Physics · Physics 2024-03-12 Mathieu Beau , Lionel Martellini

In a previous paper a formalism to analyze the dynamical evolution of classical and quantum probability distributions in terms of their moments was presented. Here the application of this formalism to the system of a particle moving on a…

Quantum Physics · Physics 2014-12-19 David Brizuela

To date, no framework combining quantum field theory and general relativity and hence unifying all four fundamental interactions, exists. Violations of the Einstein's equivalence principle (EEP), being the foundation of general relativity,…

The assumed universality of the equivalence principle suggests that a particle in a gravitational field has identical physics to one in an accelerated frame. Yet, energy considerations prohibit radiation from a static particle in a…

General Relativity and Quantum Cosmology · Physics 2015-08-11 C. S. Unnikrishnan , George T. Gillies

Quantum mechanics and general relativity have been extensively and independently confirmed in many experiments. However, the interplay of the two theories has never been tested: all experiments that measured the influence of gravity on…

Quantum Physics · Physics 2012-11-07 Magdalena Zych , Fabio Costa , Igor Pikovski , Timothy C. Ralph , Caslav Brukner

We consider the motion of a massive particle in a static, weakly-curved spacetime where the gravitational field is taken to be quantized. We find that Newton's law of free-fall is modified by quantum-gravitational corrections, in addition…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Samarth Chawla , Maulik Parikh

The principle of equivalence postulating that an acceleration is indistinguishable from gravity by any experiment, is valid within families of particles having the same passive gravitational to inertial mass ratio $m_p/m_i$. Presently…

General Physics · Physics 2018-04-06 Clovis Jacinto de Matos , Murat Özer , Grzegorz Lukasz Izworsk

Some of the possible consequences of a generalized uncertainty principle (which emerges in the context of string theory and quantum gravity models as a consequence of fluctuations of the background metric) are analyzed considering the case…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Abel Camacho

The task of testing whether quantum theory applies to all physical systems and all scales requires considering situations where a quantum probe interacts with another system that need not obey quantum theory in full. Important examples…

Quantum Physics · Physics 2020-03-04 Gaurav Bhole , Jonathan A. Jones , Chiara Marletto , Vlatko Vedral

The notion of the quantum angle is introduced. The quantum angle turns out to be a metric on the set of physical states of a quantum system. Its kinematics and dynamics is studied. The certainty principle for quantum systems is formulated…

Quantum Physics · Physics 2007-05-23 D. A. Arbatsky

For the purpose of analyzing observed phenomena, it has been convenient, and thus far sufficient, to regard gravity as subject to the deterministic principles of classical physics, with the gravitational field obeying Newton's law or…

High Energy Physics - Theory · Physics 2021-08-25 Maulik Parikh , Frank Wilczek , George Zahariade

Classical and quantum mechanical descriptions of motion are fundamentally different. The universality of free fall (UFF) is a distinguishing feature of the classical motion (which has been verified with astonishing precision), while quantum…

Quantum Physics · Physics 2024-05-14 Juan A. Cañas , A. Martín-Ruiz , J. Bernal

We study how single- and double-slit interference patterns fall in the presence of gravity. First, we demonstrate that universality of free fall still holds in this case, i.e., interference patterns fall just like classical objects. Next,…

Quantum Physics · Physics 2018-04-20 Patrick J. Orlando , Felix A. Pollock , Kavan Modi

It is shown that the classical field equations pertaining to gravity coupled to other bosonic fields are equivalent to a single geodesic equation, describing the free fall of a point particle in superspace. Some implications for quantum…

General Relativity and Quantum Cosmology · Physics 2009-10-28 J. Greensite

Fundamental constants are a cornerstone of the physical laws. Any constant varying in space and/or time would signal a violation of local position invariance and be associated with a violation of the universality of free fall, and hence of…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-21 Jean-Philippe Uzan

Optimal simultaneous control of position and momentum can be achieved by maximizing the probabilities of finding their experimentally observed values within two well-defined intervals. The assumption that particles move along straight lines…

Quantum Physics · Physics 2017-09-06 Holger F. Hofmann