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Creation of a Compact Topologically Nontrivial Inflationary Universe
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If inflation can occur only at the energy density V much smaller than the Planck density, which is the case for many inflationary models based on string theory, then the probability of quantum creation of a closed or an infinitely large open inflationary universe is exponentially suppressed for all known choices of the wave function of the universe. Meanwhile under certain conditions there is no exponential suppression for creation of topologically nontrivial compact flat or open inflationary universes. This suggests, contrary to the standard textbook lore, that compact flat or open universes with nontrivial topology should be considered a rule rather than an exception.
Forward citations
Cited by 3 Pith papers
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Inflation and topology from the no-boundary state
The no-boundary wavefunction on the 3-torus, summed over SL(3,Z) geometries using GL(3) automorphic forms, favors large inflating universes with N ≳ 250 e-folds and induces torus-moduli corrections to the CMB spectrum.
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Quantum stress-energy at timelike boundaries: testing a new beyond-$\Lambda$CDM parameter with cosmological data
Timelike boundaries sourcing negative, 1/a-scaling vacuum energy fit CMB+BAO data slightly better than LCDM and relax the neutrino-mass constraint, though the preference is only about 2 sigma.
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Inflation, Open Universes, and Dark Energy
A slightly open universe with Ω_k ≈ 3×10^{-3} pulls n_s down to ~0.969, reconciling plateau inflation models with combined CMB and DESI data.
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