
A model of dark energy derived from the holographic principle, relating cosmic acceleration to information bounds.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.
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.
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.
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.
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.
| D | variable | Diffusion coefficient — diffusion coefficient metre squared per second |
| E | variable | Particle energy — energy joule |
| b | variable | Energy scaling index |
| w | variable | Dark energy equation of state parameter — equation of state parameter |
| a | variable | Scale factor of the universe — scale factor |
| w_0 | variable | Equation of state parameter at present epoch — equation of state parameter |
| w_a | variable | Coefficient of the evolution term — equation of state parameter |











