
The Hubble constant measures the rate of expansion of the universe.The Hubble constant (H₀) is the current rate at which the universe is expanding, expressed as velocity per unit distance (typically kilometers per second per megaparsec). It is a fundamental parameter in cosmology, setting the scale, age, and fate of the universe. The constant is named after Edwin Hubble, who in 1929 observed that galaxies recede from us at speeds proportional to their distance, though the modern value is derived from a variety of cosmic probes.
Edwin Hubble first measured the expansion rate in 1929, but the modern value has been refined over decades. The current tension between measurements from the CMB (Planck satellite) and local distance ladder (e.g., SH0ES team) is a major open problem in cosmology.
The expansion is measured by observing how the redshift of light from distant objects increases with distance. Astronomers calibrate this relationship using 'standard candles' (like Cepheid variables or Type Ia supernovae) to measure distances, and then compare those distances to the recession velocities inferred from redshift. The slope of the velocity-distance relation gives H₀. Alternatively, the constant can be derived from the cosmic microwave background (CMB) by fitting a cosmological model that includes dark energy and dark matter, yielding a slightly different value.
The Hubble constant is used to convert redshifts into distances for galaxy surveys, essential for mapping the large-scale structure of the universe and studying dark energy.
The Hubble constant is not constant over time; it changes as the universe's expansion rate evolves, so the 'constant' refers specifically to its value today.
| t_H | variable | Hubble time — time second |
| H | variable | Hubble parameter — hubble parameter per second |
| ρ_vac | variable | vacuum energy density — energy density joule per cubic metre |
| H | variable | Hubble parameter — hubble parameter per second |
| ρ_vac^0 | variable | current vacuum energy density — energy density joule per cubic metre |
| H_0 | variable | current Hubble parameter — hubble parameter per second |
| ν | variable | running coefficient |
| G | constant | Newton's constant governing gravitational strength — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |
| N | variable | a quantity that grows with parameter s |
| s | variable | a non-negative integer or real parameter indexing the growth |
| C | variable | a positive constant bounding the growth rate |
| \epsilon | variable | First slow-roll parameter — slow roll parameter |
| H | variable | Hubble parameter — hubble parameter per second |
| \dot{H} | variable | Time derivative of Hubble parameter — hubble parameter time derivative per second squared |
| \dot{} | operator | Derivative with respect to cosmic time — time derivative |
| \Omega | variable | Density parameter (total energy density relative to critical) — density parameter |
| h | variable | Dimensionless Hubble constant (H0/100 km/s/Mpc) — hubble constant dimensionless |
| A_s | variable | amplitude of primordial scalar perturbations — scalar perturbation amplitude |
| Γ | variable | tunneling rate (per unit volume per unit time) — tunneling rate metre per second per cubic metre |
| H | variable | Hubble parameter during inflation — hubble parameter per second |
| ∝ | operator | is proportional to — proportionality |
























