concept

holographic dark energy

A model of dark energy derived from the holographic principle, relating cosmic acceleration to information bounds.
26 related articles · 2 formulas

Description

Holographic dark energy is a theoretical model that attempts to explain the observed acceleration of the universe's expansion by applying the holographic principle to cosmology. The holographic principle, inspired by black hole thermodynamics, suggests that all the information contained within a volume of space can be described by a theory on its boundary. In this model, the dark energy density is not a constant but is linked to the size of the cosmic horizon, effectively making it a dynamic quantity that changes as the universe evolves.

History

The holographic dark energy model was proposed in the early 2000s, with key contributions from Miao Li in 2004, who formulated it using the holographic principle and the Hubble scale as the infrared cutoff.

How it works

The model posits that the energy density of dark energy is inversely proportional to the square of the Hubble radius (or a similar length scale), meaning that as the universe grows, the dark energy density decreases. This is derived from the idea that the total energy within a region cannot exceed the energy of a black hole of the same size, setting an upper bound. The resulting equation of state can mimic a cosmological constant at late times but also allows for variations, potentially easing the coincidence problem—why dark energy's density is comparable to matter's density today.

In practice

While primarily a theoretical framework, holographic dark energy is used to fit observational data from supernovae, cosmic microwave background, and baryon acoustic oscillations, providing an alternative to the standard cosmological constant model and guiding future observations to distinguish between them.

Fun fact

The model's name comes from the idea that the universe's dark energy might be a holographic projection of information on the cosmic horizon, a concept that blurs the line between quantum information and gravity.

Concept graph →

Formulas

$$D(E) \propto E^b$$
Diffusion coefficient scaling with particle energy.
What is in the formula
DvariableDiffusion coefficient — diffusion coefficient metre squared per second
EvariableParticle energy — energy joule
bvariableEnergy scaling index
d(e)=kd_{10}(\frac{e}{10{gev}})^b · 2606.06974v1
$$w(a) = w_0 + w_a (1 - a)$$
Dark energy equation of state evolves with scale factor.
What is in the formula
wvariableDark energy equation of state parameter — equation of state parameter
avariableScale factor of the universe — scale factor
w_0variableEquation of state parameter at present epoch — equation of state parameter
w_avariableCoefficient of the evolution term — equation of state parameter
w(a)=w_0+w_a(1-a) · 2606.05358v1
w(a)=w_0+w_a(1-a) · 2607.01226v1
w(a)=w_0+w_a(1-a) · 2607.06147
w_{\rmde}(a)=-1+δw_0+δw_1(1-a)+o((1-a)^2) · 2607.20715v1

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