Dark Energy from Entanglement Entropy

Entropy Bounds and Dark Energy

Entropy bounds render quantum corrections to the cosmological constant Λ finite. Under certain assumptions, the natural value of Λ is of order the observed dark energy density ∼ 10 −10 eV 4 , thereby resolving the cosmological constant problem. We note that the dark energy equation of state in these scenarios is w ≡ p/ρ = 0 over cosmo-logical distances, and is strongly disfavored by observation...

From Modified Newtonian Gravity to Dark Energy via Quantum Entanglement

Starting from the classical Newton inverse square law of gravitation we arrive at a modified Newtonian gravity in the spirit of the work of Milgrom-Bekenstein pioneering work. This is achieved by injecting the needed quantum mechanical dissection of special relativity into Newton’s law via the modified energy mass relationship which transforms Einstein’s famous formula 2 E mc = from a smooth fo...

Nodal-line entanglement entropy: Generalized Widom formula from entanglement Hamiltonians

Thermal corrections to entanglement entropy from holography

We use holographic techniques to calculate the first thermal correction to the entanglement entropy of a cap-like region of a CFT defined on a sphere, successfully reproducing the field theory result. Since this is an order-one correction to the entropy in the large-N expansion, quantum corrections to the holographic entanglement entropy formula are essential. The bulk calculation is made tract...

Dark Energy from Strings

A long-standing problem of theoretical physics is the exceptionally small value of the cosmological constant Λ ∼ 10−120 measured in natural Planckian units. Here we derive this tiny number from a toroidal string cosmology based on closed strings. In this picture the dark energy arises from the correlation between momentum and winding modes that for short distances has an exponential fall-off wi...