The phase transitions reducing the value of Λ for given causal diamond would induce accelerated inflation like period as the magnetic energy of flux tubes decays to ordinary particles. This would give a fractal hierachy of accelerations in various scales.
See the article Cosmic string model for the formation of galaxies and stars or the chapter of "Physics in many-sheeted space-time" with the same title.
For a summary of earlier postings see Latest progress in TGD.
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