2018
DOI: 10.48550/arxiv.1812.05135
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

Reinventing the slide rule for redshifts: the case for logarithmic wavelength shift

I. K. Baldry

Abstract: Redshift is not a shift, it is defined as a fractional change in wavelength. Nevertheless, it is a fairly common misconception that ∆z c represents a velocity where ∆z is the redshift separation between two galaxies. When evaluating large changes in a quantity, it is often more useful to consider logarithmic differences. Defining ζ = ln λ obs − ln λ em results in a more accurate approximation for line-of-sight velocity and, more importantly, this means that the cosmological and peculiar velocity terms become a… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

0
5
0

Year Published

2019
2019
2022
2022

Publication Types

Select...
3
1

Relationship

0
4

Authors

Journals

citations
Cited by 4 publications
(5 citation statements)
references
References 7 publications
0
5
0
Order By: Relevance
“…where ζ is the appropriate quantity to use when dealing with redshift measurements and errors (Baldry 2018). The initial estimate of the uncertainty (or the nominal error) is given by:…”
Section: Updated Methodologymentioning
confidence: 99%
“…where ζ is the appropriate quantity to use when dealing with redshift measurements and errors (Baldry 2018). The initial estimate of the uncertainty (or the nominal error) is given by:…”
Section: Updated Methodologymentioning
confidence: 99%
“…Note that regardless of the accuracy of the Hubble law, v accurately represents the integral of the velocity differences along the line-of-sight, precisely in the case of fundamental observers. This is evident from the additive nature of terms in ζ or v (Baldry 2018).…”
Section: Appendix A: a Second-order Hubble Lawmentioning
confidence: 99%
“…This is more accurate for pure line-of-sight velocity and means that the peculiar velocity and cosmological terms, and frame corrections, are additive (Baldry 2018). A common misconception is to assume cz terms are additive.…”
Section: Appendix A: a Second-order Hubble Lawmentioning
confidence: 99%
“…2 reflects the logarithmically spaced scalefactors a that were chosen for the snapshots. Constant spacing in the logarithm of the scalefactor has desirable properties when considering galaxy populations and cosmology, see Baldry (2018). Since the differences between two scalefactors thus translate to approximately (exactly in Einstein-de-Sitter space) constant comoving distances, the power spectra amplitudes undergo approximately constant multiplicative shifts as time evolves, at least in the regime of linear structure formation.…”
Section: Inferred Power Spectramentioning
confidence: 99%