2020/06/30 by John D. Barrow · 5 citations
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Classical mechanics #Cosmology and Gravitation Theories #Einstein #Fractal #Geomagnetism and Paleomagnetism Studies #Geophysics and Gravity Measurements #Gravitation #Gravitational singularity #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Multifractal system #Physics #Quantum mechanics #Realisation #Scale (ratio) #Scale invariance #Singularity #Theoretical physics #Turbulence #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.102.041501
published in Physical review. D/Physical review. D. 102(4) (American Physical Society) · 5 pages, no figures, extra text and refs, accepted version
openalex created_date 2020/06/19 · arxiv created 2020/07/21 · openalex publication_date 2020/08/04 · arxiv updated 2020/08/12 · openalex updated_date 2026/08/05
We demonstrate the scale invariance of the vacuum Bianchi type IX equations and use this to argue for the possibility of multifractal turbulence as a realization of the suggestion by Belinski that there will be a fragmentation of local regions of inhomogeneous Mixmaster chaos on approach to an initial inhomogeneous cosmological singularity. Differences between the gravitational and hydrodynamical situations are outlined. Various potential obstacles to this picture of gravitational turbulence are discussed together with links to preinflation.