On Wheeler's 'rule of unanimity' in quantum cosmology

Details On Wheeler's 'rule of unanimity' in quantum cosmology On Wheeler's 'rule of unanimity' in quantum cosmology

Dec 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979gregr..11..453d&link_type=abstract

General Relativity and Gravitation, vol. 11, Dec. 1979, p. 453-463.

Mathematics

4

Big Bang Cosmology, Einstein Equations, Quantum Mechanics, Singularity (Mathematics), Space-Time Functions, Canonical Forms, Equations Of Motion, Wave Functions

Scientific paper

Counterexamples are given to Wheeler's 'rule of unanimity', which implies that every quantum solution for the problem of a closed universe within the framework of Einstein's field equations leads to a singularity. Bianchi IX universes filled with a perfect fluid with an equation of state of the type rho equals (gamma - 1)rho(gamma equals const. between 1 and 2), quantized in the framework of the canonical scheme proposed by Lund and generalized by Demaret and Moncrief, are indeed shown to be nonsingular, apart from a set of measure zero of models including the closed Friedmann-Robertson-Walker models.

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