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In this review we present the problem of time in quantum physics, including a short history of the problem and the known objections about considering time a quantum observable. The need to deal with time as an observable is elaborated…

Quantum Physics · Physics 2022-06-13 M. Basil Altaie , Daniel Hodgson , Almut Beige

Arguments are given that time must be defined in an operative manner,i.e., by constructing devices which can serve as clocks.The investigation of such devices leads to the conclusion that there is a principal uncertainity of time if one…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Martin Schoen

In the quantization of gauge theories and quantum gravity, it is crucial to treat reference frames such as rods or clocks not as idealized external classical relata, but as internal quantum subsystems. In the Page-Wootters formalism, for…

Quantum Physics · Physics 2023-01-02 Anne-Catherine de la Hamette , Stefan L. Ludescher , Markus P. Mueller

The problem of the Nature of Time is twofold: whether or not time is a fundamental quantity of Nature, and how does clock time of metrology emerge in the experimental description of dynamics. This work strongly supports the fundamental…

Classical Physics · Physics 2013-11-05 Enrico Prati

In quantum theory, physical systems are usually assumed to evolve relative to a c-number time. This c-number time is unphysical and has turned out to be unnecessary for explaining dynamics: in the timeless approach to quantum theory…

Quantum Physics · Physics 2022-08-24 Samuel Kuypers

For time travel to be consistent with the known laws of physics, the resulting paradoxes must be resolved. It has been suggested that parallel timelines (a.k.a. multiple histories) may provide a resolution. However, so far, a concrete…

Quantum Physics · Physics 2024-04-30 Barak Shoshany , Zipora Stober

The classical and quantum dynamics of simple time-reparametrization- invariant models containing two degrees of freedom are studied in detail. Elimination of one ``clock'' variable through the Hamiltonian constraint leads to a description…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Ian D. Lawrie , Richard J. Epp

In order to study the "problem of time", Rovelli proposed a model of a two harmonic oscillator system where one of the oscillators can be thought of as a 'clock' for the other oscillator. In this paper we examine a model where the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yoshiaki Ohkuwa

The discussion is limited to first-class parametrized systems, where the definition of time evolution and observables is not trivial, and to finite dimensional systems in order that technicalities do not obscure the conceptual framework.…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Petr Hajicek

We analyze the nature and performance of clocks formed by stabilizing an oscillator to the phase difference between two paths of an atom interferometer. The phase evolution has been modeled as being driven by the proper-time difference…

Atomic Physics · Physics 2014-02-27 Steven Peil , Christopher R. Ekstrom

Entangled states of light exhibit measurable correlations between light detections at separated locations. These correlations are exploited in entangled-state quantum key distribution. To do so involves setting up and maintaining a rhythm…

Quantum Physics · Physics 2020-04-27 F. Hadi Madjid , John M. Myers

In a way similar to classical mechanics where we have the concept of inertial time as expressed in the motions of bodies, in the (special) theory of relativity we can regard the inertial time as the only notion of time at play. The inertial…

History and Philosophy of Physics · Physics 2017-09-15 Mario Bacelar Valente

We define a notion of coupling time with ambiguities for interacting particle systems, and show how this can be used to prove ergodicity and to bound the convergence time to equilibrium and the decay of correlations at equilibrium. A…

Probability · Mathematics 2007-12-04 Jean Bérard , Didier Piau

The origin and nature of time in complex systems is explored using quantum (or 'Feynman') clocks and the signals produced by them. Networks of these clocks provide the basis for the evolution of complex systems. The general concept of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Scott Hitchcock

In earlier papers we showed unpredictability beyond quantum uncertainty in atomic clocks, ensuing from a proven gap between given evidence and explanations of that evidence. Here we reconceive a clock, not as an isolated entity, but as…

Quantum Physics · Physics 2015-04-17 F. Hadi Madjid , John M. Myers

The basic tenet of the present work is the assumption of the lack of external and fixed time in the Universe. This assumption is best embodied by general relativity, which replaces the fixed space-time structure with the gravitational…

General Relativity and Quantum Cosmology · Physics 2017-09-19 Przemysław Małkiewicz , Artur Miroszewski

Every clock is a physical system and thereby ultimately quantum. A naturally arising question is how to describe time evolution relative to quantum clocks and, specifically, how the dynamics relative to different quantum clocks are related.…

General Relativity and Quantum Cosmology · Physics 2021-01-05 Philipp A Hoehn , Augustin Vanrietvelde

Prigogine and Stengers (1988) have pointed to the centrality of the concepts of "time and eternity" for the cosmology contained in Newtonian physics, but they have not addressed this issue beyond the domain of physics. The construction of…

History and Philosophy of Physics · Physics 2010-03-16 Loet Leydesdorff

Despite the obvious utility of the concept, it has often been argued that time does not exist. I take the opposite perspective: let's imagine that time does exist, and the universe is described by a quantum state obeying ordinary…

General Relativity and Quantum Cosmology · Physics 2008-11-25 Sean M. Carroll

The problem of time is one of the most relevant open issues in canonical quantum gravity. Although there is a huge literature about this topic, a commonly accepted solution has not been found yet. Here, we focus on the semiclassical…

General Relativity and Quantum Cosmology · Physics 2021-05-18 Federico Di Gioia , Giulia Maniccia , Giovanni Montani , Jacopo Niedda