law

Hubble's law

Hubble's law is the observational relation stating that galaxies recede from us at velocities proportional to their distances.
36 related articles · 3 formulas · 6 who worked here

Description

Hubble's law is a simple rule: the farther a galaxy is from us, the faster it is receding. Imagine that you are standing in the center of an exploding firecracker — the sparks fly apart, and those farther away move faster. That is exactly how the Universe behaves after the Big Bang: galaxies are carried away from each other, and this is the expansion of the Universe.

History

In the 1910s, Vesto Slipher measured the redshifts of spiral nebulae, interpreted as recession velocities. In 1927, Georges Lemaître, based on this data and distances, derived a linear relationship. In 1929, Edwin Hubble, using his measurements of distances to galaxies via Cepheids and redshifts, published the famous 'velocity-distance' diagram, confirming the law. Milton Humason assisted with the observations.

How it works

The law is applied in cosmology to determine the scale factor and distances within the Lambda-CDM model. It is valid for velocities much less than the speed of light, where relativistic corrections can be neglected. For very distant objects, a more precise relativistic formula is used. It also requires accounting for the peculiar velocities of galaxies.

Fun fact

Edwin Hubble, without knowing it, discovered the law while looking through the most powerful telescope at the time at Mount Wilson Observatory. Surprisingly, the first to notice this pattern in the data was not Hubble, but the Belgian priest Georges Lemaître, who even published it earlier, but his work went unnoticed.

Concept graph →

Formulas

$$v = H d$$
Recessional velocity of galaxies is proportional to their distance.
What is in the formula
vvariableRecessional velocity of a galaxy — velocity metre per second
HvariableHubble parameter (time-dependent) — hubble parameter per second
dvariableProper distance to the galaxy — distance metre
v=h_0d · 2509.09665
v=h_0d · 2601.03347v2
v=h_0d · 2606.22390
v=h_0d · 2606.23869
$$d = \frac{cz}{H_0}$$
Distance is proportional to redshift in Hubble's law.
What is in the formula
dvariabledistance to galaxy — distance metre
cvariablespeed of light — speed metre per second
zvariableredshift — redshift
H_0variableHubble constant — hubble parameter per second
d_l=\frac{cz}{h_0} · 2606.05358v1
$$P(t) = e^{-\Gamma t}$$
Survival probability decays exponentially with time.
What is in the formula
P(t)variableSurvival probability at time t — probability
tvariableTime — time second
ΓvariableDecay rate (inverse lifetime) — decay rate per second
e^{-\sqrt{r_pt}}e^{-r_dt} · 2511.07785
\frac{dδn}{dt}=-\frac{g}{χ}δn · 2606.30521

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