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The relationship between chaos and quantum mechanics has been somewhat uneasy -- even stormy, in the minds of some people. However, much of the confusion may stem from inappropriate comparisons using formal analyses. In contrast, our…

We propose that cosmological time is {\it effectively} the conjugate of the constants of nature. Different definitions of time arise, with the most relevant related to the constant controlling the dynamics in each epoch. The Hamiltonian…

广义相对论与量子宇宙学 · 物理学 2021-06-30 Joao Magueijo

We explore the space of solutions of the classical equations of motion in the Euclidean electroweak theory. We sketch a topological prescription that finds known solutions and indicates the existence of novel ones. All spatially-varying,…

高能物理 - 理论 · 物理学 2007-05-23 Vishesh Khemani

Contemporary research programs in fundamental physics appear to suggest that there could be two (physical) times---or none at all. This essay articulates these possibilities in the context of quantum gravity, and in particular of…

物理学史与哲学 · 物理学 2020-09-14 Christian Wuthrich

This paper is about the metaphysical debate whether objects persist over time by the selfsame object existing at different times (nowadays called `endurance' by metaphysicians), or by different temporal parts, or stages, existing at…

经典物理 · 物理学 2016-09-08 Jeremy Butterfield

We discuss a new realistic interpretation of quantum mechanics based on discontinuous motion of particles. The historical and logical basis of discontinuous motion of particles is given. It proves that if there exists only one kind of…

量子物理 · 物理学 2007-05-23 Rui Qi

The a priori time in conventional quantum mechanics is shown to contradict the uncertainty principle. A possible solution is given.

广义相对论与量子宇宙学 · 物理学 2007-05-23 Hitoshi Kitada

Quantum cosmology offers a unique stage to address questions of time related to its underlying (and perhaps truly quantum dynamical) meaning as well as its origin. Some of these issues can be analyzed with a general scheme of quantum…

广义相对论与量子宇宙学 · 物理学 2012-07-25 Martin Bojowald

A practical way to deal with the problem of time in quantum cosmology and quantum gravity is proposed. The main tool is effective equations, which mainly restrict explicit considerations to semiclassical regimes but have the crucial…

广义相对论与量子宇宙学 · 物理学 2011-07-20 Martin Bojowald , Philipp A Hoehn , Artur Tsobanjan

It is usually assumed that the "$t$" parameter in the equations of dynamics can be identified with the indication of the pointer of a clock. Things are not so easy, however. In fact, since the equations of motion can be written in terms of…

广义相对论与量子宇宙学 · 物理学 2017-07-12 Antonio F. Rañada , A. Tiemblo

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…

量子物理 · 物理学 2007-05-23 D. A. Arbatsky

A geometric illustration of the Lorentz transformations is given. According to similarity between space and time and correspondence between a ruler and a clock, like the division number in a moving ruler, the tick number of a moving clock…

综合物理 · 物理学 2009-09-29 Wang Guowen

In general relativity, the picture of spacetime assigns an ideal clock to each worldline. Being ideal, gravitational effects due to these clocks are ignored and the flow of time according to one clock is not affected by the presence of…

量子物理 · 物理学 2017-05-09 Esteban Castro-Ruiz , Flaminia Giacomini , Časlav Brukner

This paper explores the status of some notions which are usually associated to time, like datations, chronology, durations, causality, cosmic time and time functions in the Einsteinian relativistic theories. It shows how, even if some of…

广义相对论与量子宇宙学 · 物理学 2013-12-11 Marc Lachieze-Rey

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…

量子物理 · 物理学 2018-04-05 Gerard t Hooft

Rather than an a priori arena in which events take place, space-time is a construction of our mind making possible a particular kind of ordering of events. As quantum entanglement is a property of states independent of classical distances,…

量子物理 · 物理学 2015-03-26 Karl Svozil

We have performed an experimental test under the conditions of which quantum mechanics predicts a spatially-discontinuous single-particle transport. The transport is beyond the relativistic paradigm of movement in Cartesian space and…

综合物理 · 物理学 2013-06-14 S. A. Emelyanov

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…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Martin Schoen

Time dilation is a difference in measured time between two clocks that either move with different velocities or experience different gravitational potentials. Both of these effects stem from the theory of relativity and are usually…

It is often conjectured that a choice of time function merely sets up a frame for the quantum evolution of gravitational field, meaning that all choices should be in some sense compatible. In order to explore this conjecture (and the…

广义相对论与量子宇宙学 · 物理学 2015-07-06 Przemyslaw Malkiewicz