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The basic principles of General Theory of Relativity historically have been tested in gedanken experiments in rotating frame of references. One of the key issues, which still evokes a lot of controversy, is the centrifugal acceleration.…

广义相对论与量子宇宙学 · 物理学 2009-03-09 Maxim Lyutikov

There is a multitude of interpretations of quantum mechanics, but foundational principles are lacking. Relational quantum mechanics views the observer as a physical system, which allows for an unambiguous interpretation as all axioms are…

量子物理 · 物理学 2025-06-16 Dorian Daimer , Susanne Still

The theory of measurement is employed to elucidate the physical basis of general relativity. For measurements involving phenomena with intrinsic length or time scales, such scales must in general be negligible compared to the (translational…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Bahram Mashhoon

Within the past fifteen years the use of the concept of "relativistic mass" has been on the decline and has been replaced by the concept of "proper mass" (aka "rest mass") - ?simply referred to as "mass" and labeled "m" by its proponents.…

综合物理 · 物理学 2007-09-06 Peter M. Brown

The radial motion of matter in a centrally symmetric gravitational field in a comoving reference frame is investigated for a realistic equation of state of matter. The dynamics of the formation of an event horizon are investigated.

广义相对论与量子宇宙学 · 物理学 2010-11-19 A. A. Shatskiy , A. Yu. Andreev

It is shown that the force in relativistic mechanics is not only the cause of acceleration of particle relative to an inertial frame of reference, but also the cause of change of the course of time along the particle's trajectory. Therein…

综合物理 · 物理学 2007-05-23 V. P. Oleinik

Humans have a remarkable ability to predict the effect of physical interactions on the dynamics of objects. Endowing machines with this ability would allow important applications in areas like robotics and autonomous vehicles. In this work,…

计算机视觉与模式识别 · 计算机科学 2019-01-03 Davis Rempe , Srinath Sridhar , He Wang , Leonidas J. Guibas

In a recent paper we discussed when it is possible to define reference frames nonrotating with respect to distant inertial reference objects (extension of the IAU reference systems to exact general relativity), and how to construct them. We…

广义相对论与量子宇宙学 · 物理学 2026-04-03 L. Filipe O. Costa , Francisco Frutos-Alfaro , José Natário , Michael Soffel

Both empirical and theoretical objective science can only access relations, revealing nothing about the intrinsic nature of the entities "in relation". We typically refer to these entities as "matter", assuming their nature is irrelevant…

量子物理 · 物理学 2025-03-18 Ovidiu Cristinel Stoica

Based on a recent relational formulation of quantum reference frame transformations, especially with a case of quantum spatial translations in particular, we analyzed how the `value' of an observable for a fixed state change. That is the…

量子物理 · 物理学 2021-12-09 Otto C. W. Kong

The relative motion of material, point-like observers is analysed in terms of coordinate maps between the respective rest-frame of each observer. Under the assumption these maps are $C^{2}$-regular, conservation laws are deduced, which in…

综合物理 · 物理学 2022-09-14 Tony Lyons

The purity of a reduced state for spins that is pure in the rest frame will most likely appear to degrade because spin and momentum become mixed when viewed by a moving observer. We show that such a boost-induced decrease in spin purity…

量子物理 · 物理学 2007-05-23 Hui Li , Jiangfeng Du

Relative motion in space with multifractal time (fractional dimension of time close to integer $d_{t}=1+\epsilon (r,t), \epsilon \ll 1$) for "almost" inertial frames of reference (time is almost homogeneous and almost isotropic) is…

广义相对论与量子宇宙学 · 物理学 2007-05-23 L. Ya. Kobelev

We show how the anisotropy resulting from the motion of an observer in an isotropic universe may be determined by measurements. This provides a means to identify inertial frames, yielding a simple resolution to the twins paradox of…

综合物理 · 物理学 2009-11-11 Subhash Kak

Despite the extraordinary successes the two great bastions of $20^{th}$ century science (Quantum Theory and General Relativity) are troubled with serious conceptual and mathematical difficulties. As a result, further growth of fundamental…

科普物理 · 物理学 2007-05-23 Bhag C. Chauhan

We give a sufficient condition under which an applied rotation on medium particles stabilizes a slow probe in the rotation center. The symmetric part of the stiffness matrix thus gets a positive Lamb shift with respect to equilibrium. For…

统计力学 · 物理学 2016-09-15 Urna Basu , Pierre de Buyl , Christian Maes , Karel Netočný

The developments of special relativity and quantum mechanics marked the beginning of the modern physics age. The former has taught us that while space and time are frame dependent notions, there is a quantity -- the space-time interval --…

量子物理 · 物理学 2021-03-03 Matheus Fritsch Savi , Renato Moreira Angelo

Newton's Theorem of Revolving Orbits derives the force that is necessary to explain a particular precession that leaves the shape of an orbit unchanged. Newton showed that for an orbiting body that is already subject to any central force,…

经典物理 · 物理学 2024-05-06 Nolan Samboy , Joseph Gallant

We consider a point-like observer that moves in a medium illuminated by noise sources with Lorentz-invariant spectrum. We show that the autocorrelation function of the signal recorded by the observer allows it to perceive its environment.…

偏微分方程分析 · 数学 2019-11-19 Mathias Fink , Josselin Garnier

Hand pointing and eye gaze have been extensively investigated in automotive applications for object selection and referencing. Despite significant advances, existing outside-the-vehicle referencing methods consider these modalities…

人机交互 · 计算机科学 2021-01-13 Amr Gomaa , Guillermo Reyes , Alexandra Alles , Lydia Rupp , Michael Feld