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A proper time observable for a quantum clock is introduced and it is found that the proper time read by one clock conditioned on another clock reading a different proper time obeys classical time dilation in accordance with special…

广义相对论与量子宇宙学 · 物理学 2023-01-04 Takeshi Chiba , Shunichiro Kinoshita

The measurement problem in quantum mechanics originates in the inability of the Schr\"odinger equation to predict definite outcomes of measurements. This is due to the lack of objectivity of the eigenstates of the measuring apparatus. Such…

量子物理 · 物理学 2017-05-26 Partha Ghose

The problem of time operator in quantum mechanics is revisited. The unsharp measurement model for quantum time based on the dynamical system-clock interaction, is studied. Our analysis shows that the problem of the quantum time operator…

量子物理 · 物理学 2007-05-23 V. P. Belavkin , M. G. Perkins

Although time is one of our most intuitive physical concepts, its understanding at the fundamental level is still an open question in physics. For instance, time in quantum mechanics and general relativity are two distinct and incompatible…

量子物理 · 物理学 2021-01-27 Eduardo O. Dias

We discuss time measurement in quantum gravity. Using general relativity for large distances and the uncertainty principle we find a minimum time interval of the order of the Planck time, therefore the uncertainty in time measurment is…

高能物理 - 理论 · 物理学 2009-10-28 N. Itzhaki

This brief survey analyzes the epistemological implications about the role of observer in the interpretations of Quantum Mechanics. As we know, the goal of most interpretations of quantum mechanics is to avoid the apparent intrusion of the…

综合物理 · 物理学 2008-11-25 Michele Caponigro

We attempt to contribute some novel points of view to the "foundations of quantum mechanics", using mathematical tools from "quantum probability theory" (such as the theory of operator algebras). We first introduce an abstract algebraic…

量子物理 · 物理学 2013-10-08 J. Fröhlich , B. Schubnel

A generalized framework is developed which uses a set description instead of wavefunction to emphasize the role of the observer. Such a framework is found to be very effective in the study of the measurement problem and time's arrow.…

量子物理 · 物理学 2007-05-23 Zhen Wang

The classical theory of gravity predicts its own demise -- singularities. We therefore attempt to quantize gravitation, and present here a new approach to the quantization of gravity wherein the concept of time is derived by imposing the…

广义相对论与量子宇宙学 · 物理学 2010-11-01 Arkady Kheyfets , Warner A. Miller

In both quantum mechanics and relativity theory, the concept of the observer plays a critical role. However, there is no consensus on the definition of observer in these theories. Following Einstein's thought experiments, one could ask:…

量子物理 · 物理学 2023-04-05 Marcin Nowakowski

Time plays a crucial role in the intuitive understanding of the world around us. Within quantum mechanics, however, time is not usually treated as an observable quantity; it enters merely as a parameter in the laws of motion of physical…

量子物理 · 物理学 2015-06-05 Sandra Ranković , Yeong-Cherng Liang , Renato Renner

We study the process of observation (measurement), within the framework of a `perspectival' (`relational', `relative state') version of the modal interpretation of quantum mechanics. We show that if we assume certain features of…

量子物理 · 物理学 2007-05-23 Gyula Bene , Dennis Dieks

In this article we study the nature of time in Mechanics. The fundamental principle, according to which a mechanical system evolves governed by a second order differential equation, implies the existence of an absolute time-duration in the…

数学物理 · 物理学 2018-09-21 J. Muñoz-Díaz , R. J. Alonso-Blanco

A number of issues related to measurement show that self-consistency is lacking in quantum mechanics as this theory has been generally understood. Each issue is presented as a point in this paper. Each point can be resolved by incorporating…

综合物理 · 物理学 2007-05-23 D. M. Snyder

Time plays a fundamental role in our ability to make sense of the physical laws in the world around us. The nature of time has puzzled people -- from the ancient Greeks to the present day -- resulting in a long running debate between…

量子物理 · 物理学 2021-09-23 Sergii Strelchuk , Mischa P. Woods

This paper proposes an intrinsic or background-independent quantum framework based on entangled state rather than absolute quantum state, it describes a quantum relative state between the under-study quantum system and the quantum measuring…

量子物理 · 物理学 2026-03-13 M. J. Luo

A goal of most interpretations of quantum mechanics is to avoid the apparent intrusion of the observer into the measurement process. Such intrusion is usually seen to arise because observation somehow selects a single actuality from among…

量子物理 · 物理学 2007-05-23 Bruce Rosenblum , Fred Kuttner

There are discernible and fundamental differences between clocks, waves and physical states in classical physics. These fundamental concepts find a common expression in the context of quantum physics in gravitational fields; matter and…

量子物理 · 物理学 2015-05-28 C. S. Unnikrishnan , George T. Gillies

A cyclic nature of quantum mechanical clock is discussed as ``quantization of time." Quantum mechanical clock is seen to be equivalent to the relativistic classical clock.

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

Einstein's theory of general relativity is based on the premise that the physical laws take the same form in all coordinate systems. However, it still presumes a preferred decomposition of the total kinematic Hilbert space into local…

广义相对论与量子宇宙学 · 物理学 2021-04-28 Sung-Sik Lee