Graph centered on Cosmological redshift, showing the selected concept and its surrounding relations.Preparing the interactive atlasโ€ฆ

Keyboard graph navigation: press N for concepts or E for relations; use arrow keys, Home, and End to move; Enter selects; Shift plus Enter selects and centers; plus and minus zoom; zero fits; Escape clears the selection. Use the visible viewport buttons as alternatives to dragging, wheel, and pinch gestures.

Curated starting points

Stories & Views

Relationship-aware analysis

Compare concepts

Choose two concepts to compare or connect.
Reading the graph

Guide to the Atlas

Canonical static concept record

Cosmological redshift

Open this concept in the interactive graphRead the Markdown equivalent

Summary

The change in observed wavelength caused by cosmological expansion between emission and observation; for comoving source and observer in an FLRW spacetime, 1+z=a(t0)/a(tem)1+z=a(t_0)/a(t_{\rm em}).

Record metadata

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Expanding universeCosmological redshift

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

For comoving emission and observation in an FLRW model, expansion changes photon wavelength by the scale-factor ratio 1+z=a(t0)/a(tem)1+z=a(t_0)/a(t_{\rm em}).

How to interpret this relation type

The target represents a state, property, observable, or state-dependent description associated with the source system or theory.

Relation sources

Hubbleโ€“Lemaรฎtre lawCosmological redshift

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

In the low-redshift regime, measured cosmological redshift supplies the recession-rate proxy in the approximately linear relation czโ‰ƒH0dcz\simeq H_0d; the exact relativistic relation is model dependent.

How to interpret this relation type

A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.

Relation sources

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

No direct relations are authored in this direction.