Hubble's Law

In 1929 Edwin Hubble noticed that the farther a galaxy is, the faster it appears to move away — and the two are simply proportional:

v=H0d,v = H_0 \, d,

where dd is distance, vv is recession speed, and H0H_0 (the Hubble constant) is today's expansion rate. This isn't galaxies flying through space but space itself stretching, so every observer sees the same outward flow. Measuring vv from redshift and dd from a gives H0H_0 — and its inverse sets the rough timescale of the expansion.

Each dot below is a galaxy. Slide H0H_0 until the line threads the data — the slope that fits is the expansion rate, and its inverse is the naive age:

0100200300400500010k20k30k40kDistance (megaparsecs)Recession velocity (km/s)

Each dot is a galaxy: farther ones rush away faster, in proportion. The slope of the line that best fits them is the Hubble constant H₀ — try to thread the dots and you'll land near 70, giving ~14 billion years.

hierarchy prerequisite related

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