Physics
Scientific paper
Feb 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005tmgm.meet.1755l&link_type=abstract
The Tenth Marcel Grossmann Meeting. Proceedings of the MG10 Meeting held at Brazilian Center for Research in Physics (CBPF), Rio
Physics
Scientific paper
Increasing inhomogeneity due to gravitational clumping reflects increasing gravitational entropy in a time-evolving universe. Upon introducing a dimensionless entropy measure for a discrete matter distribution we demonstrate from naturally involved extremal conditions how clustering of structure is subject to a global quantization rule, constraining the entropy gain within the entire system at each higher order merging process. As consequence, a sequence of discrete cosmic mass scales is generated where the holographic principle provides the corresponding spatial dimensions of closed structures. The derived hierarchy of inhomogeneity levels, is tested on observations and is found to reproduce remarkably well the sequence of known global cosmological inhomogeneity scales up to galaxy clusters and superclusters. All fundamental structure scales are generically coupled via recurrence relations where an arrow of time can be defined that points in the direction of increasing entropy or inhomogeneity, respectively.
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