- #1
MTd2
Gold Member
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http://arxiv.org/abs/1008.2768
"To pursue our analysis further, we must determine more carefully the relationship between the renormalization scale µ and the density ρ. One appealing choice, advocated by Weinberg in his analysis of inflation in asymptotically safe gravity [3], is to take the renormalization group mass scale µ to be
µ ∼ [G(µ) ρ]^1/2 (3.8)
which has the appearance of the inverse of a “gravitational length” related to the energy density ρ andis equivalent to taking µ to be the inverse of the timescale over which the scale factor a(τ) changes."
One should treat G in a non perturbative way to avoid singularity.
So, it is like inflation counters a singularity, when gravitational collapse is treated non perturbatively
"To pursue our analysis further, we must determine more carefully the relationship between the renormalization scale µ and the density ρ. One appealing choice, advocated by Weinberg in his analysis of inflation in asymptotically safe gravity [3], is to take the renormalization group mass scale µ to be
µ ∼ [G(µ) ρ]^1/2 (3.8)
which has the appearance of the inverse of a “gravitational length” related to the energy density ρ andis equivalent to taking µ to be the inverse of the timescale over which the scale factor a(τ) changes."
One should treat G in a non perturbative way to avoid singularity.
So, it is like inflation counters a singularity, when gravitational collapse is treated non perturbatively