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In this paper the analogues of the Lorentz transformations for non-inertial reference frames have been obtained. A common case when the movement speed of one coordinate frame in relation to another one can have time derivatives of higher…

综合物理 · 物理学 2016-08-24 E. E. Perepelkin , B. I. Sadovnikov , N. G. Inozemtseva

Leveraging the unrivaled performance of optical clocks in applications in fundamental physics beyond the standard model, in geo-sciences, and in astronomy requires comparing the frequency of distant optical clocks truthfully. Meeting this…

Derivation of two-time second-order correlation function by following approaches such as stochastic differential equation, coherent-state propagator, and quasi-statistical distribution function is presented. In the process, the time…

量子物理 · 物理学 2024-06-18 Sintayehu Tesfa

The general expression of the angular distance between two point sources as measured by an arbitrary observer is given. The modelling presented here is rigorous, covariant and valid in any space-time. The sources of light may be located at…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Pierre Teyssandier , Christophe Le Poncin-Lafitte

In this work, we develop a general perturbative procedure to find the off-equatorial plane deflections in the weak deflection limit in general stationary and axisymmetric spacetimes, allowing the existence of the generalized Carter…

广义相对论与量子宇宙学 · 物理学 2024-12-24 Xinguang Ying , Junji Jia

In this investigation the light propagation in the gravitational field of one arbitrarily moving body with monopole structure is considered in the second post-Newtonian approximation. It is found that the light trajectory depends on the…

广义相对论与量子宇宙学 · 物理学 2018-02-09 Sven Zschocke

Time-reversal symmetry allows waves to retrace their paths through complex media and refocus at their origin. However, incomplete capture and reversal of scattered waves often limits pulse recompression. We address this challenge for…

Theorists are often told to express things in the "observational plane". One can do this for space-time geometry, considering "visual" observations of matter in our universe by a single observer over time, with no assumptions about…

广义相对论与量子宇宙学 · 物理学 2012-11-20 Albert Stebbins

Minkowski spacetime is transitive under ordinary translations, a transformation that do not have matrix representations. The de Sitter spacetime, on the other hand, is transitive under a combination of translations and proper conformal…

广义相对论与量子宇宙学 · 物理学 2014-02-20 J. G. Pereira , A. C. Sampson , L. L. Savi

Optical flow is a powerful tool for the study and analysis of motion in a sequence of images. In this article we study a Horn-Schunck type spatio-temporal regularization functional for image sequences that have a non-Euclidean, time varying…

数值分析 · 数学 2014-10-02 Martin Bauer , Markus Grasmair , Clemens Kirisits

This is one of a number of papers in which the metric for space-time is defined on the subatomic level by means of the interchange of photons, and constrained to be consistent with radar. It is shown that the discrete nature of particle…

综合物理 · 物理学 2007-05-23 Charles Francis

The possibility of detecting the gravitomagnetic clock effect using artificial Earth satellites provides the incentive to develop a more intuitive approach to its derivation. We first consider two test electric charges moving on the same…

广义相对论与量子宇宙学 · 物理学 2010-05-28 Lorenzo Iorio , Herbert I. M. Lichtenegger , Bahram Mashhoon

New approach to the description of a gravitation using analogy between the optical and mechanical phenomenon is advanced. For this purpose in extended (1+4)-dimensional space G(1,4) the gravitational effects are considered: the speed of…

综合物理 · 物理学 2007-05-23 V. A. Andreev , D. Yu. Tsipenyuk

In the framework of General Relativity we develop a method for analysis of the operation of the optical position meters in their photodetectors proper reference frames. These frames are non-inertial in general due to the action of external…

广义相对论与量子宇宙学 · 物理学 2009-02-20 Sergey P. Tarabrin , Alexander A. Seleznyov

Many measurements on soft condensed matter (e.g., biological and materials) systems track low-dimensional observables projected from the full system phase space as a function of time. Examples are dynamic structure factors, spectroscopic…

统计力学 · 物理学 2021-02-03 Alessio Lapolla , Jeremy C. Smith , Aljaž Godec

We consider spacetime to be a 4-dimensional differentiable manifold that can be split locally into time and space. No metric, no linear connection are assumed. Matter is described by classical fields/fluids. We distinguish electrically…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Friedrich W. Hehl , Yuri N. Obukhov

Models with extra space-time dimensions produce, tipically, a 4D effective theory whose vacuum is not exactly Lorentz invariant but can be considered a physical medium whose refractive index is determined by the gravitational field. This…

广义相对论与量子宇宙学 · 物理学 2007-05-23 C. M. L. de Aragao , M. Consoli , A. Grillo

In a recent work I showed that the family of smooth steep time functions can be used to recover the order, the topology and the (Lorentz-Finsler) distance of spacetime. In this work I present the main ideas entering the proof of the…

微分几何 · 数学 2018-02-26 E. Minguzzi

In a recent series of papers, the authors introduced a new Relativistic Newtonian Dynamics (RND) and tested its validity by the accurate prediction of the gravitational time dilation, the anomalous precession of Mercury, the periastron…

综合物理 · 物理学 2017-05-24 Y. Friedman , J. M. Steiner

The Lorentz covariant theory of propagation of light in the (weak) gravitational fields of N-body systems consisting of arbitrarily moving point-like bodies with constant masses is constructed. The theory is based on the Lienard-Wiechert…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer