Vacuum Fluctuations of Energy Density can lead to the observed Cosmological Constant

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dc.creatorPadmanabhan, T.
dc.date2004-06-07
dc.date.accessioned2026-07-07T10:30:03Z
dc.date.available2026-07-07T10:30:03Z
dc.descriptionThe energy density associated with Planck length is $ρ_{uv}\propto L_P^{-4}$ while the energy density associated with the Hubble length is $ρ_{ir}\propto L_H^{-4}$ where $L_H=1/H$. The observed value of the dark energy density is quite different from {\it either} of these and is close to the geometric mean of the two: $ρ_{vac}\simeq \sqrt{ρ_{uv} ρ_{ir}}$. It is argued that classical gravity is actually a probe of the vacuum {\it fluctuations} of energy density, rather than the energy density itself. While the globally defined ground state, being an eigenstate of Hamiltonian, will not have any fluctuations, the ground state energy in the finite region of space bounded by the cosmic horizon will exhibit fluctuations $Δρ_{\rm vac}(L_P, L_H)$. When used as a source of gravity, this $Δρ$ should lead to a spacetime with a horizon size $L_H$. This bootstrapping condition leads naturally to an effective dark energy density $Δρ\propto (L_{uv}L_H)^{-2}\propto H^2/G$ which is precisely the observed value. The model requires, either (i) a stochastic fluctuations of vacuum energy which is correlated over about a Hubble time or (ii) a semi- anthropic interpretation. The implications are discussed.
dc.descriptionr pages; revtex; comments welcome
dc.identifierhttps://arxiv.org/abs/hep-th/0406060
dc.identifierhttp://arxiv.org/abs/hep-th/0406060
dc.identifierClass.Quant.Grav.22:L107-L110,2005
dc.identifierdoi:10.1088/0264-9381/22/17/L01
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178018
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleVacuum Fluctuations of Energy Density can lead to the observed Cosmological Constant
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