A period of exponential expansion in the early universe preceding the Big Bang.Inflationary cosmology is the theory that, in the first fraction of a second after the Big Bang, the universe underwent a period of exponential expansion, growing from a subatomic size to a macroscopic scale in a tiny fraction of a second. This rapid expansion solves several puzzles in the standard Big Bang model, such as why the universe is so uniform in temperature (the horizon problem) and why it is so flat (the flatness problem). Inflation also provides a mechanism for generating the initial density fluctuations that later grew into galaxies and large-scale structures.
Inflation was proposed by Alan Guth in 1980, and refined by Andrei Linde and others shortly thereafter. It has since become a cornerstone of modern cosmology, though the exact particle physics behind it remains unknown.
Inflation is driven by a hypothetical scalar field, called the inflaton, which has a high energy density. As the field slowly rolls down its potential energy hill, it causes the universe to expand exponentially. Quantum fluctuations in this field are stretched to cosmic scales, creating tiny variations in density. After inflation ends, the inflaton decays, reheating the universe and filling it with the particles of the Standard Model. The density fluctuations left behind serve as the seeds for structure formation, and their pattern, imprinted in the cosmic microwave background, matches observations remarkably well.
Inflationary theory is used to make precise predictions for the cosmic microwave background radiation, which are tested by missions like Planck and WMAP, and it guides searches for primordial gravitational waves.
During inflation, the universe expanded by a factor of at least 10^26 in less than 10^-32 seconds, faster than the speed of light, which is allowed because it was the fabric of space itself that expanded.
| Z | variable | Bayesian evidence (marginal likelihood) — bayesian evidence |
| Θ | variable | Parameter vector — parameter vector |
| L(Θ) | variable | Likelihood function — likelihood function |
| π(Θ) | variable | Prior probability density — prior probability density |
| ∫ | operator | Integration over parameter space — integral operator |
| dΘ | operator | Infinitesimal volume element — volume element |
| v_k | variable | Mukhanov-Sasaki variable for mode k — mukhanov sasaki variable |
| k | variable | comoving wavenumber — wavenumber reciprocal metre |
| z | variable | pump field related to background cosmology — pump field |
| '' | operator | differentiates twice with respect to conformal time — second conformal time derivative |
| M | variable | a quantity that grows with parameter s |
| s | variable | a non-negative integer or real parameter indexing the growth |
| a | variable | a positive constant |
| b | variable | a positive constant determining the growth exponent |















