Mathematics – Logic
Scientific paper
Nov 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992stin...9418047c&link_type=abstract
Unknown
Mathematics
Logic
Galactic Evolution, Gravitation, Hilbert Space, Photons, Quantum Mechanics, Space-Time Functions, Astronomical Models, Big Bang Cosmology, Cosmology, Equations Of Motion, Lie Groups
Scientific paper
This paper discusses a quantum-cosmological model. The model avoids a priori classical ideas, even spacetime, by invoking a pair of established general principles that relate to each other: (1) Parameter largeness can endow physical approximations with accuracy; and (2) Coherent states labeled by large parameters provide a quantum basis for classical ideas. Generally speaking, the technical term 'coherent state' refers to a special category of Hilbert-space vector that relates to some Lie group unitarily representable within Hilbert space. In the Hilbert space of the quantum-cosmological model discussed, labels on basis vectors lack physical interpretation, but groups unitarily represented include not only the Heisenberg-Weyl group but the Poincare group. Corresponding large-parameter coherent states are interpretable in terms of events and particles: a quantum-based meaning of classical objective reality in 3+1 spacetime is thereby achievable.
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