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General relativity in three spacetime dimensions is used to explore three approaches to the ``problem of time'' in quantum gravity: the internal Schr\"odinger approach with mean extrinsic curvature as a time variable, the Wheeler-DeWitt…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. Carlip

In quantum systems, a plausible definition of work is based on two energy measurement scheme. Considering that energy change of quantum system obeys a time-energy uncertainty relation, it shall be interesting to see whether such type of…

统计力学 · 物理学 2016-08-03 Fei Liu

Textbook quantum mechanics treats time as a classical parameter, and not as a quantum observable with an associated Hermitian operator. For this reason, to make sense of usual time-energy uncertainty relations such as $\Delta {t}\Delta…

量子物理 · 物理学 2021-12-08 Matteo Fadel , Lorenzo Maccone

In this paper I raise a worry about the most extended resolutions of the problem of time of canonical quantizations of general relativity. The reason for this is that these resolutions are based on analogies with deparametrizable models for…

广义相对论与量子宇宙学 · 物理学 2023-01-26 Alvaro Mozota Frauca

Researchers have long been aiming to understand how the characteristics of Quantum Theory and General Relativity combine to account for regimes in their interface. One reason why this is a hard task is how differently the theories approach…

量子物理 · 物理学 2023-10-05 Bruna Sahdo

While Quantum Gravity remains elusive and Quantum Field Theory retains the interpretational difficulties of Quantum Mechanics, we have introduced an alternate approach to the unification of particles, fields, space and time, suggesting that…

综合物理 · 物理学 2012-11-21 Yousef Ghazi-Tabatabai

The metric determines the casual structure of spacetime, but in quantum gravity it is also a dynamical field which must be quantized using this causal structure; this is the famous problem of time. A radical resolution of this paradox is…

高能物理 - 理论 · 物理学 2007-05-23 T. A. Larsson

A deformation of special relativistic kinematics (possible signal of a theory of quantum gravity at low energies) leads to a modification of the notion of spacetime. At the classical level, this modification is required when one considers a…

高能物理 - 理论 · 物理学 2019-12-02 J. M. Carmona , J. L. Cortes , J. J. Relancio

A non-relativistic quantum mechanical theory is proposed that describes the universe as a continuum of worlds whose mutual interference gives rise to quantum phenomena. A logical framework is introduced to properly deal with propositions…

量子物理 · 物理学 2015-08-18 Kim Joris Boström

A "quantum-first" approach to gravity is described, where rather than quantizing general relativity, one seeks to formulate the physics of gravity within a quantum-mechanical framework with suitably general postulates. Important guides are…

高能物理 - 理论 · 物理学 2018-05-23 Steven B. Giddings

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…

物理学史与哲学 · 物理学 2014-06-19 Jeremy Butterfield

We highlight three conflicts between quantum theory and classical general relativity, which make it implausible that a quantum theory of gravity can be arrived at by quantising classical gravity. These conflicts are: quantum nonlocality and…

量子物理 · 物理学 2017-03-22 T. P. Singh

In this paper we discuss Internal Relativity, a recent program to address the problem of quantum gravity. In our approach we change the relationship between spacetime and matter. Currently we view matter as propagating on spacetime.…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Olaf Dreyer

The quantum description of time evolution in non-linear gravitational systems such as cosmological space-times is not well understood. We show, in the simplified setting of mini-superspace, that time evolution of this system can be obtained…

广义相对论与量子宇宙学 · 物理学 2023-05-02 Anne-Katherine Burns , David E. Kaplan , Tom Melia , Surjeet Rajendran

The logic--linguistic structure of quantum physics is analysed. The role of formal systems and interpretations in the representation of nature is investigated. The problems of decidability, completeness, and consistency can affect quantum…

量子物理 · 物理学 2007-05-23 Luigi Foschini

Most of the approaches to the construction of a theory of quantum gravity share some principles which do not have specific experimental support up to date. Two of these principles are relevant for our discussion: (i) the gravitational field…

广义相对论与量子宇宙学 · 物理学 2015-02-18 Raúl Carballo-Rubio , Carlos Barceló , Luis J. Garay

In non relativistic physics it is assumed that both chronological ordering and causal ordering of events (telling whether there exists a causal relationship between two events or not) are absolute, observer independent properties. In…

量子物理 · 物理学 2013-01-01 Marco Zaopo

Quantum physics, despite its observables being intrinsically of a probabilistic nature, does not have a quantum entropy assigned to them. We propose a quantum entropy that quantify the randomness of a pure quantum state via a conjugate pair…

量子物理 · 物理学 2022-10-05 Davi Geiger , Zvi M. Kedem

Incompatibility between conjugate variables and complementary pictures comes in two kinds, exclusive of one another. The first kind is unconditional, and the second conditional on quantum's indivisibility. We employ this distinction to…

量子物理 · 物理学 2007-05-23 Constantin Antonopoulos , Theodossios Papadimitropoulos

The predictions that quantum theory makes about the outcomes of measurements are generally probabilistic. This has raised the question whether quantum theory can be considered complete, or whether there could exist alternative theories that…

量子物理 · 物理学 2016-04-13 Roger Colbeck , Renato Renner