Near-singularity Wheeler-DeWitt wavefunctions for 5d BKL dynamics are shown to correspond to Hecke L-functions over Gaussian or Eisenstein integers, whose Euler products define complex 'primon gas' partition functions.
Numerical computation of Maass waveforms and an application to cosmology
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We compute numerically eigenvalues and eigenfunctions of the Laplacian in a three-dimensional hyperbolic space. Applying the results to cosmology, we demonstrate that the methods learned in quantum chaos can be used in other fields of research.
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Wheeler-DeWitt wavefunctions for 5d BKL dynamics, automorphic L-functions and complex primon gases
Near-singularity Wheeler-DeWitt wavefunctions for 5d BKL dynamics are shown to correspond to Hecke L-functions over Gaussian or Eisenstein integers, whose Euler products define complex 'primon gas' partition functions.