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Space-time is one of the most essential, yet most mysterious concepts in physics. In quantum mechanics it is common to understand time as a marker of instances of evolution and define states around all the space but at one time; while in…

量子物理 · 物理学 2020-12-01 Tian Zhang , Oscar Dahlsten , Vlatko Vedral

Relativistic quantum mechanics can be considered to have begun with a search for wave equations corresponding to each intrinsic spin. However, relativistic quantum physics differs fundamentally from the non-relativistic wave mechanics. It…

物理学史与哲学 · 物理学 2026-03-09 Urjit A. Yajnik

The new uncertainty relation is derived in the context of the canonical quantum theory with gravity for the case of the maximally symmetric space. This relation establishes a connection between fluctuations of the quantities which determine…

广义相对论与量子宇宙学 · 物理学 2019-11-05 V. E. Kuzmichev , V. V. Kuzmichev

In this work we establish a novel approach to the foundations of relativistic quantum theory, which is based on generalizing the quantum-mechanical Born rule for determining particle position probabilities to curved spacetime. A principal…

数学物理 · 物理学 2025-11-17 Maik Reddiger , Bill Poirier

In quantum gravity there is no notion of absolute time. Like all other quantities in the theory, the notion of time has to be introduced "relationally", by studying the behavior of some physical quantities in terms of others chosen as a…

量子物理 · 物理学 2009-03-12 Rodolfo Gambini , Jorge Pullin

A recently introduced discrete formalism allows to solve the problem of time in quantum gravity in a relational manner. Quantum mechanics formulated with a relational time is not exactly unitary and implies a fundamental mechanism for…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Rodolfo Gambini , Rafael Porto , Jorge Pullin

It is difficult to extract reliable criteria for causal locality from the limited ingredients found in textbook quantum theory. In the end, Bell humbly warned that his eponymous theorem was based on criteria that "should be viewed with the…

量子物理 · 物理学 2024-02-28 Jacob A. Barandes

The descriptions of the quantum realm and the macroscopic classical world differ significantly not only in their mathematical formulations but also in their foundational concepts and philosophical consequences. When and how physical systems…

量子物理 · 物理学 2008-12-02 Johannes Kofler

We present a general formalism with the aim of describing the situation of an entity, how it is, how it reacts to experiments, how we can make statistics with it, and how it changes under the influence of the rest of the universe. Therefore…

量子物理 · 物理学 2007-05-23 Diederik Aerts

In a previous article [H. Bergeron, J. Math. Phys. 42, 3983 (2001)], we presented a method to obtain a continuous transition from classical to quantum mechanics starting from the usual phase space formulation of classical mechanics. This…

量子物理 · 物理学 2007-05-23 H. Bergeron

If the block universe view is correct, the future and the past have similar status and one would expect physical theories to involve final as well as initial boundary conditions. A plausible consistency condition between the initial and…

量子物理 · 物理学 2007-05-23 D. J. Miller

A unified conceptual foundation of classical and quantum physics is given, free of undefined terms. Ensembles are defined by extending the `probability via expectation' approach of Whittle to noncommuting quantities. This approach carries…

量子物理 · 物理学 2007-05-23 Arnold Neumaier

On the base of years of experience of working on the problem of the physical foundation of quantum mechanics the author offers principles of solving it. Under certain pressure of mathematical formalism there has raised a hypothesis of…

量子物理 · 物理学 2007-05-23 V. E. Shemi-zadeh

The quantum formalism is a ``measurement'' formalism--a phenomenological formalism describing certain macroscopic regularities. We argue that it can be regarded, and best be understood, as arising from Bohmian mechanics, which is what…

量子物理 · 物理学 2015-06-26 Detlef Dürr , Sheldon Goldstein , Nino Zanghí

We expect a theory of Quantum Gravity to be both probabilistic and have indefinite causal structure. Indefinite causal structure poses particular problems for theory formulation since many of the core ideas used in the usual approaches to…

广义相对论与量子宇宙学 · 物理学 2008-04-02 Lucien Hardy

It is commonly accepted that the combination of quantum mechanics and general relativity gives rise to the emergence of a minimum uncertainty both in space and time. The arguments that support this conclusion are mainly based on…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Pablo Galan , Guillermo A. Mena Marugan

The concept of event provides the essential bridge from the realm of virtuality of the quantum state to real phenomena in space and time. We ask how much we can gather from existing theory about their localization and point out that…

量子物理 · 物理学 2015-06-15 Rudolf Haag

Progress in the new information-theoretic process physics is reported in which the link to the phenomenology of general relativity is made. In process physics the fundamental assumption is that reality is to be modelled as self-organising…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Reginald T. Cahill

The continuum of real numbers has served well as a model for physical space in mechanics and field theories. However it is a well-motivated and popular idea that at the fundamental Planck scale the combination of gravitational and quantum…

广义相对论与量子宇宙学 · 物理学 2014-02-17 Ronald J. Adler

Using tangent bundle geometry we construct an equivalent reformulation of classical field theory on flat spacetimes which simultaneously encodes the perspectives of multiple observers. Its generalization to curved spacetimes realizes a new…

高能物理 - 理论 · 物理学 2018-06-13 Mattias N. R. Wohlfarth