Equations · equation

Cosmological Redshift

Cosmology · 1927

Equation
1 + z = λ_obs/λ_emit = a(t_obs)/a(t_emit)
Field
Cosmology
Named After
Vesto Slipher · Georges Lemaître
Year
1927

Symbols

z redshift · λ_emit wavelength when the light left · λ_obs wavelength when it arrives · a(t) scale factor of the universe at each moment · z = 0 is here and now

Significance

The single most-used number in observational cosmology. Light is not merely Doppler-shifted by galaxies rushing away — the wavelength is stretched by the expansion of space itself while the photon is in flight, so redshift measures how much smaller the universe was when the light set out. The microwave background left at z ≈ 1100, when everything was a thousand times more compact and 3000 K hot; the most distant galaxies JWST sees sit near z ≈ 14. Redshift is the closest thing cosmology has to a clock.

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From the Equations database in Notion, last edited 2026-08-26. This page is the row, rendered by the build; nothing on it is written by hand.