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This paper uses the multi-epoch astrometry from the Wide-field Infrared Survey Explorer (WISE) to demonstrate a method to measure proper motions and trigonometric parallaxes with precisions of $\sim$4 mas yr$^{-1}$ and $\sim$7 mas,…

太阳与恒星天体物理 · 物理学 2018-08-15 Christopher A. Theissen

We study the problem of how well a tree metric is able to preserve the sum of pairwise distances of an arbitrary metric. This problem is closely related to low-stretch metric embeddings and is interesting by its own flavor from the line of…

数据结构与算法 · 计算机科学 2013-01-16 Mong-Jen Kao , Der-Tsai Lee , Dorothea Wagner

A reanalisis of the effect of a moving frame of reference is done, showing that the null result of the Michelson-Morley's experimente of 1887 on the possibility of detecting the variation of the velocity of light with respect to a moving…

综合物理 · 物理学 2013-09-11 Daniel Lima Nascimento

A comparison between the line of sight power spectrum of absorption in the Lyman-alpha forest and the cross power spectrum between the absorption in neighboring lines of sight offers an evolution-free means to constrain the cosmological…

天体物理学 · 物理学 2007-05-23 Adam Lidz , Lam Hui , Arlin P. S. Crotts , Matias Zaldarriaga

We consider the geometry of the space of Borel measures endowed with a distance that is defined by generalizing the dynamical formulation of the Wasserstein distance to concave, nonlinear mobilities. We investigate the energy landscape of…

偏微分方程分析 · 数学 2009-01-27 José Antonio Carrillo , Stefano Lisini , Giuseppe Savaré , Dejan Slepčev

Given the extreme accuracy reached by future global space astrometry, one needs a global relativistic modeling of observations. A relativistic definition of astrometric observables is then essential to find uniquely coordinates, parallax…

广义相对论与量子宇宙学 · 物理学 2013-05-13 Stefano Bertone , Christophe Le Poncin-Lafitte

We have argued that quantum mechanics and general relativity give a lower bound $\delta l \gtrsim l^{1/3} l_P^{2/3}$ on the measurement uncertainty of any distance $l$ much greater than the Planck length $l_P$. Recently Baez and Olson have…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Y. Jack Ng , H. van Dam

Distance measurement is crucial to astronomy. Here we suggest a new conceptual method to measure the distance by using a local instrument. By engaging the double-slit interference and by considering the phase information of the light, the…

天体物理仪器与方法 · 物理学 2020-06-17 Yuan-Chuan Zou

Cosmological distances are fundamental observables in cosmology. The luminosity ($D_L$), angular diameter ($D_A$) and gravitational wave ($D_{\rm GW}$) distances are all trivially related in General Relativity assuming no significant…

宇宙学与河外天体物理 · 物理学 2024-08-07 Isabela Matos , Miguel Quartin , Luca Amendola , Martin Kunz , Riccardo Sturani

Luminosity distance estimates from electromagnetic and gravitational wave sources are generally different in models of dynamical dark energy and gravity beyond the standard cosmological scenario. We show that this leaves a unique imprint on…

Estimating a distance by inverting a parallax is only valid in the absence of noise. As most stars in the Gaia catalogue will have non-negligible fractional parallax errors, we must treat distance estimation as a constrained inference…

天体物理仪器与方法 · 物理学 2016-11-30 Tri L. Astraatmadja , Coryn A. L. Bailer-Jones

(Abridged) A consequence of the Earth's motion with respect to the CMB is that over a 10 year period it will travel a distance of ~800 AU. As first noted by Kardashev in 1986, this baseline can be used to carry out astrometric measurements…

宇宙学与河外天体物理 · 物理学 2015-05-13 Fiona Ding , Rupert A. C. Croft

A recently developed tool allows for a description of spacetime as a manifold with a Lorentz-invariant (lower) limit length built-in. This is accomplished in terms of geometric quantities depending on two spacetime events (bitensors) and…

广义相对论与量子宇宙学 · 物理学 2025-03-21 Alessandro Pesci

In cosmology, distances based on standard candles (e.g. supernovae) and standard rulers (e.g. baryon oscillations) agree as long as three conditions are met: (1) photon number is conserved, (2) gravity is described by a metric theory with…

天体物理学 · 物理学 2009-11-10 Bruce A. Bassett , Martin Kunz

Observing artificial satellites is a relatively new and unique branch of astronomy that is very interesting and dynamic. One specific aspect of observing these objects is that although they appear amongst the celestial background, as…

空间物理 · 物理学 2015-07-02 Michael A. Earl

Like Hipparcos, Gaia is designed to give absolute parallaxes, independent of any astrophysical reference system. And indeed, Gaia's internal zero-point error for parallaxes is likely to be smaller than any individual parallax error.…

太阳与恒星天体物理 · 物理学 2017-03-15 Andrew Gould , Juna A. Kollmeier

In general relativity, the energy conditions are invoked to restrict general energy-momentum tensors $T_{\mu\nu}$ in different frameworks, and to derive general results that hold in a variety of general contexts on physical grounds. We show…

天体物理学 · 物理学 2008-11-26 J. Santos , J. S. Alcaniz , N. Pires , M. J. Reboucas

We study the validity of cosmic distance duality relation between angular diameter and luminosity distances. To test this duality relation we use the latest Union2 Supernovae Type Ia (SNe Ia) data for estimating the luminosity distance. The…

广义相对论与量子宇宙学 · 物理学 2014-03-11 S Jhingan , D Jain , R Nair

Space-based observatories at the second Sun-Earth Lagrange Point (L2) offer a unique opportunity to efficiently determine the orbits of distant solar system objects by taking advantage of the parallax effect that arises from nearly…

地球与行星天体物理 · 物理学 2021-11-17 Mark R. Giovinazzi , Cullen H. Blake , Pedro H. Bernardinelli

We address the old question of whether or not a uniformly accelerated charged particle radiates, and consequently, if weak equivalence principle is violated by electrodynamics. We show that radiation has different meanings; some absolute,…

广义相对论与量子宇宙学 · 物理学 2007-05-23 A. Shariati , M. Khorrami