Peaks in the Hartle-Hawking Wave Function from Interfering Topologies

Details Peaks in the Hartle-Hawking Wave Function from Interfering Topologies Peaks in the Hartle-Hawking Wave Function from Interfering Topologies

May 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004aps..apr.s9006a&link_type=abstract

American Physical Society, April Meeting, 2004, May 1-4, 2004, Denver, Colorado April 2004, MEETING ID: APR04, abstract #S9.006

Mathematics

Logic

Scientific paper

The Hartle-Hawking ``no boundary'' wave function can receive contributions from many four-manifold topologies, and interference among these amplitudes could have important important physical implications. I describe recent results suggesting that for a universe with a negative cosmological constant, constructive interference among topologies can lead to sharp peaks in the wave function centered on homogeneous spatial geometries. While these results are unlikely to replace inflation as an explanation for the homogeneity of the Universe, they may fill in an important gap, the open problem of how to obtain an initial homogeneous patch required to start inflation.

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