
Using supernovae to measure dark energy and cosmic acceleration.Dark energy measurement is the effort to quantify the mysterious force that is causing the expansion of the universe to accelerate. This is primarily done by observing distant Type Ia supernovae, which serve as standard candles because their intrinsic brightness is remarkably consistent. By comparing their apparent brightness to their redshift, astronomers can determine how the expansion rate has changed over cosmic time. These observations revealed in 1998 that the expansion is not slowing down as gravity would dictate, but rather speeding up, implying the existence of a repulsive energy component now called dark energy.
The discovery of cosmic acceleration from supernova observations was announced in 1998 by two independent teams, led by Saul Perlmutter and by Brian Schmidt and Adam Riess, who later shared the 2011 Nobel Prize in Physics.
Type Ia supernovae are thermonuclear explosions of white dwarf stars that reach a nearly uniform peak luminosity. When one is detected, astronomers measure its redshift (how much its light has stretched due to cosmic expansion) and its apparent brightness. The distance is inferred from the brightness, and the redshift gives the expansion factor. Plotting distance versus redshift for many supernovae at different distances reveals the history of the expansion rate. Modern surveys like DESI also use baryon acoustic oscillations and other probes to cross-check these measurements and map the evolution of dark energy over time.
Dark energy measurements are essential for determining the ultimate fate of the universe and for testing theories of gravity, and they guide the design of next-generation space telescopes like Euclid and the Nancy Grace Roman Space Telescope.
Dark energy is estimated to make up about 68% of the total energy content of the universe, yet its physical nature remains one of the biggest unsolved problems in physics.
| P | variable | Power — power watt |
| N | variable | Number of atoms — particle number |
| Om | variable | Om diagnostic value — om diagnostic |
| z | variable | Redshift — redshift |
| H | variable | Hubble parameter at redshift z — hubble parameter kilometre per second per megaparsec |
| H_0 | variable | Hubble constant at present epoch — hubble constant kilometre per second per megaparsec |
| w | variable | Equation of state parameter of dark energy — equation of state parameter |
| Ω_DE | variable | Density parameter of dark energy — density parameter |
| lambda_FS | variable | free streaming length — free streaming length metre |
| m_hm | variable | half-mode mass of dark matter — half mode mass kilogram |
| propto | operator | is proportional to — proportionality |





