A fractal set of perpetually bouncing universes?

Details A fractal set of perpetually bouncing universes? A fractal set of perpetually bouncing universes?

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cqgra...1..417p&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 1, July 11, 1984, p. 417-427. Research supported by the Alfred P. Sloan Fou

Physics

72

Big Bang Cosmology, Fractals, Quantum Theory, Space-Time Functions, Universe, Discrete Functions, Scalars, Set Theory

Scientific paper

For a Friedman-Robertson-Walker universe minimally coupled to a massive scalar field, Hawking has shown that there is a countably infinite discrete set of periodic solutions which bounce without a singularity. Here it is suggested that there is also an uncountably infinite but still discrete set of perpetually bouncing aperiodic solutions. The latter set appears to form a fractal with positive Hausdorff-Besicovitch dimension.

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