Distance measures in cosmology
David W. Hogg (IAS)

TL;DR
This paper provides comprehensive formulae for various cosmological distance measures and related quantities, aiming to clarify terminology and improve understanding in cosmology research.
Contribution
It offers a unified presentation of key cosmological distance formulas with justifications and attempts to rationalize inconsistent terminologies.
Findings
Provides explicit formulae for multiple cosmological distances.
Includes justifications for the formulae presented.
Aims to clarify and standardize terminology in cosmology.
Abstract
Formulae for the line-of-sight and transverse comoving distances, proper motion distance, angular diameter distance, luminosity distance, k-correction, distance modulus, comoving volume, lookback time, age, and object intersection probability are all given, some with justifications. Some attempt is made to rationalize disparate terminologies, or at least abuse bad usage.
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Taxonomy
TopicsScientific Research and Discoveries · Algorithms and Data Compression · Advanced Mathematical Theories and Applications
