concept

inflationary cosmology

A period of exponential expansion in the early universe preceding the Big Bang.
70 related articles · 3 formulas

Description

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.

History

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.

How it works

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.

In practice

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.

Fun fact

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.

Concept graph →

Formulas

$$Z = \int \mathcal{L}(\Theta) \pi(\Theta) d\Theta$$
Integral of likelihood times prior over parameter space.
What is in the formula
ZvariableBayesian evidence (marginal likelihood) — bayesian evidence
ΘvariableParameter vector — parameter vector
L(Θ)variableLikelihood function — likelihood function
π(Θ)variablePrior probability density — prior probability density
∫operatorIntegration over parameter space — integral operator
dΘoperatorInfinitesimal volume element — volume element
z=\int_{ω_\theta}\mathcal{l}(\theta)π(\theta)d\theta · 2605.09521v1
$$v_k'' + ig(k^2 - rac{z''}{z}ig) v_k = 0$$
Describes evolution of cosmological perturbations in inflation.
What is in the formula
v_kvariableMukhanov-Sasaki variable for mode k — mukhanov sasaki variable
kvariablecomoving wavenumber — wavenumber reciprocal metre
zvariablepump field related to background cosmology — pump field
''operatordifferentiates twice with respect to conformal time — second conformal time derivative
v''_k+(k^2-\frac{z''}{z})v_k=0 · 2607.00636
$$M(s) \ge (a s)^{b s}$$
A quantity grows faster than exponential, like s^{b s}.
What is in the formula
Mvariablea quantity that grows with parameter s
svariablea non-negative integer or real parameter indexing the growth
avariablea positive constant
bvariablea positive constant determining the growth exponent
m(s)\ge(as)^{3s/2} · 2607.00963

Related articles · 70

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