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The classical procedures which define the relativistic notion of space-time can be implemented in the framework of Quantum Field Theory. Only relying on the conformal symmetries of field propagation, time-frequency transfer and localization…

广义相对论与量子宇宙学 · 物理学 2013-02-27 Marc-Thierry Jaekel , Serge Reynaud

Relationships between objects constitute our notion of space. When these relationships change we interpret this as the passage of time. Observer interpretations are essential to the way we understand these relationships. Hence observer…

多智能体系统 · 计算机科学 2014-11-21 Mark Burgess

This is a summary of how the definition of quantum singularity is extended from static space-times to conformally static space-times. Examples are given.

广义相对论与量子宇宙学 · 物理学 2013-02-28 Deborah A. Konkowski , Thomas M. Helliwell

The possibility of determining the state of a quantum system after a continuous measurement of position is discussed in the framework of quantum trajectory theory. Initial lack of knowledge of the system and external noises are accounted…

量子物理 · 物理学 2009-10-31 A. C. Doherty , S. M. Tan , A. S. Parkins , D. F. Walls

Many important results in modern quantum information theory have been obtained for an idealized situation when the spacetime dependence of quantum phenomena is neglected. However the transmission and processing of (quantum) information is a…

量子物理 · 物理学 2016-09-08 Igor V. Volovich

While in relativity theory space evolves over time into a single entity known as spacetime, quantum theory lacks a standard notion of how to encapsulate the dynamical evolution of a quantum state into a single "state over time". Recently it…

量子物理 · 物理学 2025-04-30 James Fullwood

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

The quantum mechanics description of a physical object stretched in space and stable in time from the relativistic space-time properties point of view, introduced in special theory of relativity, is considered and analysed. The mathematical…

量子物理 · 物理学 2007-05-23 Andrey V. Novikov-Borodin

We give a review of concepts related to connection of classical and quantum theories, from the phase space perspective. Quantum theory is described by non-commutative operators of coordinates and momenta, results in values having a certain…

量子物理 · 物理学 2025-09-04 Miloš D. Davidović , Ljubica D. Davidović , Milena D. Davidović

We present a generally covariant approach to quantum mechanics in which generalized positions, momenta and time variables are treated as coordinates on a fundamental "phase-spacetime." We show that this covariant starting point makes…

高能物理 - 理论 · 物理学 2018-05-31 Gabriel Herczeg , Andrew Waldron

Contrary to general relativity, quantum theory treats space and time in fundamentally different ways. In particular, while joint probabilities associated with spacelike separated measurements are defined in terms of the Born rule, joint…

量子物理 · 物理学 2026-01-13 James Fullwood , Zhihao Ma , Zhen Wu

What ontology does realism about the quantum state suggest? The main extant view in contemporary philosophy of physics is wave-function realism. We elaborate the sense in which wave-function realism does provide an ontological picture; and…

量子物理 · 物理学 2009-07-31 David Wallace , Christopher G Timpson

We review an approach to non-commutative geometry, where models are constructed by quantisation of the coordinates. In particular we focus on the full DFR model and its irreducible components; the (arbitrary) restriction to a particular…

数学物理 · 物理学 2010-09-24 Gherardo Piacitelli

After stating the measurement problem, physicists usually assume the problem to be coming from the measurement part. Since classical probabilities also collapse when updating information, there is nothing special about quantum state…

量子物理 · 物理学 2021-08-10 Bharath Ron

Recently a stochastic underpinning for space time has been considered, what may be called Quantized Fractal Space Time. This leads us to a number of very interesting consequences which are testable, and also provides a rationale for several…

综合物理 · 物理学 2017-02-08 B. G. Sidharth

Traditional interpretations of quantum theory in terms of wave function collapse are particularly unappealing when considering the universe as a whole, where there is no clean separation between classical observer and quantum system and…

量子物理 · 物理学 2011-06-06 Ed Seidewitz

A definition is proposed to give precise meaning to the counterfactual statements that often appear in discussions of the implications of quantum mechanics. Of particular interest are counterfactual statements which involve events occurring…

量子物理 · 物理学 2007-05-23 J. Finkelstein

`How do our ideas about quantum mechanics affect our understanding of spacetime?' This familiar question leads to quantum gravity. The complementary question is also important: `How do our ideas about spacetime affect our understanding of…

广义相对论与量子宇宙学 · 物理学 2009-11-11 James B. Hartle

On the basis that the universe is a closed quantum system with no external observers, we propose a paradigm in which the universe jumps through a series of stages. Each stage is defined by a quantum state, an information content, and rules…

量子物理 · 物理学 2007-05-23 Jon Eakins , George Jaroszkiewicz

In the event symmetric approach to quantum gravity it is assumed that the fundamental laws of physics must be invariant under exchange of any two space-time events. The fact that this symmetry if obviously not observed is attributed to the…

高能物理 - 理论 · 物理学 2007-05-23 P. E. Gibbs