Mathematics – Logic
Scientific paper
Apr 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001aps..oss.f2004m&link_type=abstract
American Physical Society, Ohio Section Spring Meeting, April 20-21, 2001 Kent State University Kent, Ohio Bulletin of the Ameri
Mathematics
Logic
Scientific paper
Cosmic expansion appears to be speeding up, a fact explained most simply by a positive cosmological constant. Difficulties in deriving a cosmological term of the appropriate magnitude from present theories suggest that it may be a key to new physics, and that its conventional form is only an approximation to the energy-momentum tensor of dark matter. The cosmological term describes incompressible matter that violates the strong energy condition and allows, in a formal sense, signal propagation backward in time. We take this as a hint to construct a phenomenological model of matter (combining dark and ordinary forms) whose pressure is given by a gamma law for high energy densities but becomes negative below a critical density. Flat expanding model universes filled with such matter approach the de Sitter state asymptotically. These models can reach a cosmic time after which hydrodynamic waves propagate faster than light. One consequence of this would be violation of conventional ideas of temporal ordering and causality, a concept with some precedent in modern physics. This might have profound implications for the future of life in the universe.
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