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This article deals with empty spacetime and the question of its physical reality. By "empty spacetime" we mean a collection of bare spacetime points, the remains of ridding spacetime of all matter and fields. We ask whether these geometric…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Diego Meschini , Markku Lehto

Inspired by the discrete evolution implied by the recent work on loop quantum cosmology, we obtain a discrete time description of usual quantum mechanics viewing it as a constrained system. This description, obtained without any…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Date

Time has always played a crucial role in cosmology. I review some of the aspects of the present cosmological model which are more directly related to time, such as: the definition of a cosmic time; the existence of typical timescales and…

History and Philosophy of Physics · Physics 2017-03-22 A. Balbi

The deep connection between entropy and information is discussed in terms of both classical and quantum physics. The mechanism of information transfer between systems via entanglement is explored in the context of decoherence theory. The…

Quantum Physics · Physics 2021-01-05 Martin Paul Vaughan

First, I briefly review the different conceptions of time held by three rival interpretations of quantum theory: the collapse of the wave-packet, the pilot-wave interpretation, and the Everett interpretation (Section 2). Then I turn to a…

History and Philosophy of Physics · Physics 2014-06-19 Jeremy Butterfield

The time irreversibility problem is the dichotomy of the reversible microscopic dynamics and the irreversible macroscopic physics. This problem was considered by Boltzmann, Poincar\'e, Bogolyubov and many other authors and though some…

Statistical Mechanics · Physics 2009-09-05 Igor V. Volovich

It is rarely emphasized in modern physics textbooks that our definitions of space and time have to reflect their complete interdependence. Our intuitive methods of always picturing one-dimensional space as a sum of unit-length rods and of…

General Physics · Physics 2008-07-03 Ibrahim M. Al Abdulmohsin

Along with weaving together observations, experiments, and theoretical constructs into a coherent mesh of understanding of the world around us, physics over its past five centuries has continuously refined the base concepts on which the…

History and Philosophy of Physics · Physics 2017-04-05 A. R. P. Rau

We propose a new point of view regarding the problem of time in quantum mechanics, based on the idea of replacing the usual time operator $\mathbf{T}$ with a suitable real-valued function $T$ on the space of physical states. The proper…

I give a brief introduction to the relation between loop quantum gravity and twistor theory, and comment on some perspectives on the problem of time.

General Relativity and Quantum Cosmology · Physics 2015-06-19 Simone Speziale

The local conservation of a physical quantity whose distribution changes with time is mathematically described by the continuity equation. The corresponding time parameter, however, is defined with respect to an idealized classical clock.…

Chemical Physics · Physics 2018-11-21 Axel Schild

Quantum gravity--the marriage of quantum physics with general relativity--is bound to contain deep and important lessons for the nature of physical time. Some of these lessons shall be canvassed here, particularly as they arise from quantum…

History and Philosophy of Physics · Physics 2013-08-13 Nick Huggett , Tiziana Vistarini , Christian Wuthrich

From the Physics point of view, time is now best described through General Relativity, as part of space-time which is a dynamical object encoding gravity. Time possesses also some intrinsic irreversibility due to thermodynamics, quantum…

General Relativity and Quantum Cosmology · Physics 2009-03-30 Florian Girelli , Stefano Liberati , Lorenzo Sindoni

Intrinsic time is an example of an event-based conception of time, used to analyze financial time series. Here, for the first time, we reveal the connection between intrinsic time and physical time. In detail, we present an analytic…

Trading and Market Microstructure · Quantitative Finance 2022-04-07 James B. Glattfelder , Anton Golub

We present a suggestion on the interpretation of canonical time evolution when gravitation is present, based on the nonlinear gauge approach to gravity. Essentially, our proposal consists of an internal-time concept, with the time variable…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Antonio Pulido , Alfredo Tiemblo , Romualdo Tresguerres

The concept of time mostly plays a subordinate role in finance and economics. The assumption is that time flows continuously and that time series data should be analyzed at regular, equidistant intervals. Nonetheless, already nearly 60…

Statistical Finance · Quantitative Finance 2024-06-12 James B. Glattfelder , Richard B. Olsen

The arrow of time dilemma: the laws of physics are invariant for time inversion, whereas the familiar phenomena we see everyday are not (i.e. entropy increases). I show that, within a quantum mechanical framework, all phenomena which leave…

Quantum Physics · Physics 2010-04-22 Lorenzo Maccone

The nature of time vis-a-vis relativity is critically examined. Based on the author's space-time interaction hypothesis of late 1970's, cosmological model with time-varying velocity of light is discussed.

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. C. Tiwari

Many have suggested that the transformation standardly referred to as 'time reversal' in quantum theory is not deserving of the name. I argue on the contrary that the standard definition is perfectly appropriate, and is indeed forced by…

History and Philosophy of Physics · Physics 2023-06-22 Bryan W. Roberts

The key difference between math as math and math in science is that in science we blend our physical knowledge with our knowledge of math. This blending changes the way we put meaning to math and even to the way we interpret mathematical…

Physics Education · Physics 2021-05-11 Edward F. Redish
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