Abstract

To support the central hypothesis of Paper VI [meskanen2026vi] — that the wavefunction is the universe’s spectral compression codec and that we observe wave-like microstructure because we perceive compressed information — we present a constructive proof-of-concept in Wheeler-DeWitt [dewitt1967] minisuperspace.

We demonstrate that the paths minimizing spectral complexity , computed directly in the natural Fourier basis of the minisuperspace problem, coincide with those minimizing the Euclidean action . Across an ensemble of 20,000 randomly generated histories with both gravitational and scalar degrees of freedom, the Spearman rank correlation between and exceeds 0.96, and the partial Spearman correlation after controlling for path roughness remains strongly positive, ruling out the hypothesis that the correlation is a confound artifact. The classical Hawking no-boundary instanton is the unambiguous joint global minimum. These results provide strong numerical evidence that classical geodesics emerge as the informationally minimal trajectories in a timeless informational universe.