Sunday, April 28, 2013
A model-building resource for cosmic numerologists
"Stationary dark energy" presents a model of energy transfer between dark energy, dark matter, and baryonic matter, in which the density fractions can asymptote to desired values: "Choosing the parameters we can ensure that the final state is, for instance, Ωϕ = 0.7 and Ωm = 0.3. Once reached, these values will remain fixed forever." (ϕ is a dark-energy scalar.) So if your theory of everything requires that ΩDE should be 2/3, or 1-1/π, or 9/4π, here's a phenomenological model, complete with equations, that you can build on.
Posted by Mitchell at 4:20 AM
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For example, Ω_ϕ = 2/3 if β = 5/√2 and μ = 4/√2, in equation 4.ReplyDelete
Peter Rowlands makes an independent argument for Ω_ϕ = 2/3, while A. Garcés Doz suggests that it equals ln 2.ReplyDelete