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.
Janssen,Slow-roll approximation in quantum cosmology,Class
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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.