Don N. Page
Professor of Physics
A.B., William Jewell College
M.S. and Ph.D., California Institute of Technology
A goal of quantum cosmology is to try to understand
the universe as a whole within the current fundamental
framework of physics, quantum theory. Quantum theory
normally differs significantly from classical theory only
for small systems, so one may question its application to
the entire universe. However, the universe was apparently
once so small that a quantum description would have been
essential. The present universe may be viewed as a relict of
processes that occurred in its very early evolution. Thus a
quantum understanding of these processes may help explain
certain basic features observed today.
For example, the observed cosmos is large, old, nearly flat,
fairly homogeneous and isotropic at the largest observable
distances, lumpy and complex on smaller scales, and out of
thermal equilibrium, exhibiting a pervasive arrow of time.
These basic features are mysterious, in the sense that it would
apparently be consistent with our present theoretical
understanding of physics for the universe not to have any of
these properties. Can we enlarge our understanding to
include fundamental principles that would explain these
observed features of the cosmos?
In particular, we need principles for the boundary conditions
of the universe, to select the actual universe from the
apparently infinite set of possible universes obeying the same
complete set of dynamical laws. There have recently been
proposals for this that would specify the quantum state of
the universe, such as the Hartle-Hawking no-boundary
proposal and the Vilenkin tunneling proposal.
Research is being done on the implications of these
and other proposals to see whether or not they can
explain the observed features of our mysterious universe.
Will Entropy Decrease if the Universe Recollapses?
Don N. Page, Phys. Rev. D32, 2496-2499 (1985).
Operator Ordering and the Flatness of the Universe,
S.W. Hawking and Don N. Page,
Nucl. Phys. B264, 185-186 (1986).
Density Matrix of the Universe,
Don N. Page, Phys. Rev. D34, 2267-2271 (1986).
How Probable is Inflation?
S.W. Hawking and Don N. Page,
Nucl. Phys. B298, 789-809 (1988).
Lectures on Quantum Cosmology,
Don N. Page, in Gravitation: A Banff Summer Institute, eds. R. B. Mann and P. Wesson (World Scientific, Singapore, 1991), pp. 135-170.
Information in Black Hole Radiation,
Don N. Page, Phys. Rev. Lett. 71, 3743-3746 (1993).
Black Hole Information,
Don N. Page, in Proceedings of the 5th Canadian Conference on General Relativity and Relativistic Astrophysics, eds. R.B. Mann and R.G. McLenaghan (World Scientific, Singapore, 1994), pp. 1-41; hep-th/9305040.
Aspects of Quantum Cosmology,
Don N. Page, to be published in Proceedings of the International School of Astrophysics "D. Chalonge," 4th Course: String Gravity and Physics at the Planck Energy Scale, Erice, Sicily, 8-19 September 1995, ed. N. Sanchez (Kluwer, Dordrecht, 1996); gr-qc/9507025.
Don N. Page,