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Time reversal symmetry is studied in a space with noncommutativity of coordinates and noncommutativity of momenta of canonical type. The circular motion is examined as an apparent example of time reversal symmetry breaking in the space. On…

Quantum Physics · Physics 2019-01-23 Kh. P. Gnatenko , M. I. Samar , V. M. Tkachuk

We investigate implications of decoherence for quantum systems which are classically chaotic. We show that, in open systems, the rate of von Neumann entropy production quickly reaches an asymptotic value which is: (i) independent of the…

General Relativity and Quantum Cosmology · Physics 2011-08-04 Wojciech Hubert Zurek , Juan Pablo Paz

We provide a dynamical proof of the second law of thermodynamics, along the lines of an argument of Penrose and Gibbs, making crucial use of the upper semicontinuity of the mean entropy proved by Robinson and Ruelle and Lanford and…

Mathematical Physics · Physics 2019-11-05 Walter F. Wreszinski

Thermodynamics has a clear arrow of time, characterized by the irreversible approach to equilibrium. This stands in contrast to the laws of microscopic theories, which are invariant under time-reversal. Foundational discussions of this…

History and Philosophy of Physics · Physics 2021-04-29 Michael te Vrugt

In this paper we lay out an argument that generically the psychological arrow of time should align with the thermodynamic arrow of time where that arrow is well-defined. This argument applies to any physical system that can act as a memory,…

Statistical Mechanics · Physics 2015-06-17 Leonard Mlodinow , Todd A. Brun

The familiar textbook quantum mechanics of laboratory measurements incorporates a quantum mechanical arrow of time --- the direction in time in which state vector reduction operates. This arrow is usually assumed to coincide with the…

Quantum Physics · Physics 2015-06-12 James B. Hartle

At molecular scales, fluctuations play a significant role and prevent biomolecular processes from always proceeding in a preferred direction, raising the question of how limited amounts of free energy can be dissipated to obtain directed…

Statistical Mechanics · Physics 2016-10-05 Aidan I. Brown , David A. Sivak

Temporal irreversibility, often referred to as the arrow of time, is a fundamental concept in statistical mechanics. Markers of irreversibility also provide a powerful characterisation of information processing in biological systems.…

Neurons and Cognition · Quantitative Biology 2023-08-11 Andrea I Luppi , Fernando E. Rosas , Gustavo Deco , Morten L. Kringelbach , Pedro A. M. Mediano

An increasing number of experiments at the Belle, BNL, CERN, DA{\Phi}NE and SLAC accelerators are confirming the violation of time reversal invariance (T). The violation signifies a fundamental asymmetry between the past and future and…

Quantum Physics · Physics 2011-09-05 Joan A. Vaccaro

Irreversibility is a fundamental concept with important implications at many levels. It pinpoints the fundamental difference between the intrinsically reversible microscopic equations of motion and the unidirectional arrow of time that…

Quantum Physics · Physics 2019-05-01 T. B. Batalhao , S. Gherardini , J. P. Santos , G. T. Landi , M. Paternostro

In this work we analyse the structure of the thermodynamic arrow of time, defined by transformations that leave the thermal equilibrium state unchanged, in classical (incoherent) and quantum (coherent) regimes. We note that in the…

Quantum Physics · Physics 2017-05-12 Kamil Korzekwa

This work explores the implications of assuming time symmetry and applying bridge-type, time-symmetric temporal boundary conditions to deterministic laws of nature with random components. The analysis, drawing on the works of Kolmogorov and…

Statistical Mechanics · Physics 2025-06-23 A. Y. Klimenko

We advance a new viewpoint on the connection between the the thermodynamical and cosmological arrows of time, which can be traced via the properties of Cosmic Microwave Background (CMB) radiation. We show that in the…

Astrophysics · Physics 2008-11-26 A. E. Allahverdyan , V. G. Gurzadyan

The second law of thermodynamics imposes a fundamental asymmetry in the flow of events. The so-called thermodynamic arrow of time introduces an ordering that divides the system's state space into past, future and incomparable regions. In…

Quantum Physics · Physics 2022-12-14 A. de Oliveira Junior , Jakub Czartowski , Karol Życzkowski , Kamil Korzekwa

It is brought forward that viable theories of the physical world that have no variable at all that can play the role of time, do not exist; some notion of time is one of the very first ingredients a candidate theory should possess. Almost…

Quantum Physics · Physics 2018-04-05 Gerard t Hooft

The epistemic arrow of time is the fact that our knowledge of the past seems to be both of a different kind and more detailed than our knowledge of the future. Just like with the other arrows of time, it has often been speculated that the…

History and Philosophy of Physics · Physics 2023-09-21 David H. Wolpert , Jens Kipper

It is shown in the framework of a harmonic system that the thermodynamical time arrow is induced by the environmental initial conditions in a manner similar to spontaneous symmetry breaking. The Closed Time Path formalism is introduced in…

Quantum Physics · Physics 2015-06-11 Janos Polonyi

It is demonstrated how a convenient choice of the mathematical structure of the quantum cosmology superspace, precisely the definition of a convenient regular state superspace and the restriction of the dynamics to this space, yields…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Mario Castagnino

Can the thermodynamic arrow of time in a single universe be reversed, even temporarily, within semiclassical gravity without invoking additional universes or branches? We address this question in a single, connected spacetime where quantum…

General Relativity and Quantum Cosmology · Physics 2025-12-04 Kevin Song , John Zhang

The second law of thermodynamics constitutes a fundamental principle of physics, precluding the existence of perpetual motion machines and providing a natural definition of the arrow of time. Its scope extends across virtually all areas of…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Alejandro Corichi , Omar Gallegos
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