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The task of quantizing gravity is compared with Einstein's relativization of gravity. The philosophical and physical foundations of general relativity are briefly reviewed. The Ehlers-Pirani-Schild scheme of operationally determining the…

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

The measurement problem and the role of observers have plagued quantum mechanics since its conception. Attempts to resolve these have introduced anthropomorphic or non-realist notions into physics. A shift of perspective based upon process…

量子物理 · 物理学 2013-03-05 W. H. Sulis

Physical systems are usually assumed to evolve relative to an external time parameter, which is problematic because in quantum theory that parameter is not a physical observable. Page & Wootters (1984) solved this by proposing that the…

量子物理 · 物理学 2026-04-08 Sam Kuypers , Simone Rijavec

The ``problem of time'' has been a pressing issue in quantum gravity for some time. To help understand this problem, Rovelli proposed a model of a two harmonic oscillators system where one of the oscillators can be thought of as a ``clock''…

量子物理 · 物理学 2009-10-30 M. C. Ashworth

The intuitive classical space-time picture breaks down in quantum gravity, which makes a comparison and the development of semiclassical techniques quite complicated. Using ingredients of the group averaging method to solve constraints one…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Martin Bojowald , Parampreet Singh , Aureliano Skirzewski

We summarize our investigation of the extent to which the choice of internal clock influences the dynamics in quantum models of gravity. Firstly, at the classical level, we define an extension to the Hamilton-Jacobi theory of contact…

广义相对论与量子宇宙学 · 物理学 2015-12-15 Przemyslaw Malkiewicz

In Einstein's gedankenexperiment for measuring space and time, an ensemble of clocks moving through curved spacetime measures geometry by sending signals back and forth, as in the global positioning system (GPS). Combining well-known…

广义相对论与量子宇宙学 · 物理学 2012-10-18 Seth Lloyd

Canonical quantization applied to closed systems leads to static equations, the Wheeler-deWitt equation in Quantum Gravity and the time independent Schr\"odinger equation in Quantum Mechanics. How to restore time is the Problem of Time(s).…

量子物理 · 物理学 2022-01-21 M. Bauer , C. A. Aguillón

Time is absolute in standard quantum theory and dynamical in general relativity. The combination of both theories into a theory of quantum gravity leads therefore to a "problem of time". In my essay I shall investigate those consequences…

广义相对论与量子宇宙学 · 物理学 2009-09-22 Claus Kiefer

I describe a constructive foundation for Quantum Mechanics, based on the discreteness of the degrees of freedom of quantum objects and on the Principle of Relativity. Taking Einstein's historical construction of Special Relativity as a…

综合物理 · 物理学 2018-01-10 Walter Smilga

A measuring apparatus is described by quantum mechanics while it interacts with the quantum system under observation, and then it must be given a classical description so that the result of the measurement appears as objective reality.…

量子物理 · 物理学 2009-10-30 Ori Hay , Asher Peres

According to relativity, the reading of an ideal clock is interpreted as the elapsed proper time along its classical trajectory through spacetime. In contrast, quantum theory allows the association of many simultaneous trajectories with a…

When quantum mechanics was developed in the '20s of the last century another revolution in physics was just starting. It began with the discovery that the universe is expanding. For a long time quantum mechanics and cosmology developed…

广义相对论与量子宇宙学 · 物理学 2019-03-06 James B. Hartle

I argue that the rules of unitary quantum mechanics imply that observers who will themselves be subject to measurements in a linear combination of macroscopic states (``cat" measurements) cannot make reliable predictions on the results of…

量子物理 · 物理学 2024-05-22 Alexios P. Polychronakos

In this paper, we investigate the connection between Classical and Quantum Mechanics by dividing Quantum Theory in two parts: - General Quantum Axiomatics (a system is described by a state in a Hilbert space, observables are self-adjoint…

量子物理 · 物理学 2009-11-07 H. Bergeron

This work will incorporate a few related tools for addressing the conceptual difficulties arising from sewing together classical and quantum mechanics: deterministic operators, weak measurements and post-selection. Weak Measurement, based…

量子物理 · 物理学 2016-12-21 Eliahu Cohen , Yakir Aharonov

We study classical limit for quantum mechanics with two times and temperature, which describes a generalized dynamics of relativistic point mass. In this theory, thermodynamic time means a parameter of evolution, whereas geometric time is…

高能物理 - 理论 · 物理学 2007-05-23 Vadim V. Asadov , Oleg V. Kechkin

In order to test the quantum nature of gravity, it is essential to explore the construction of classical gravity theories that are as consistent with experiments as possible. In particular, the classical gravity field must receive input…

量子物理 · 物理学 2025-03-18 Daisuke Miki , Youka Kaku , Yubao Liu , Yiqiu Ma , Yanbei Chen

Quantum mechanics introduces the concept of probability at the fundamental level, yielding the measurement problem. On the other hand, recent progress in cosmology has led to the "multiverse" picture, in which our observed universe is only…

高能物理 - 理论 · 物理学 2012-05-10 Yasunori Nomura

Measurements play a crucial role in doing physics: Their results provide the basis on which we adopt or reject physical theories. In this note, we examine the effect of subjecting measurements themselves to our experience. We require that…

量子物理 · 物理学 2020-01-28 Arne Hansen , Stefan Wolf
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