1 Introduction

The central claim of Paper VI is that the quantum wavefunction functions as the universe’s native data-compression system. Internal observers, themselves composed of highly compressed structures, perceive their constituent degrees of freedom as wave-like because they are sampling the output of this spectral codec.

In this framework, any configuration of information can be encoded into many possible wavefunctions. Smooth, phase-coherent wavefunctions admit vastly more efficient (lower-cost) spectral descriptions. Consequently, such states dominate the statistical measure via a Solomonoff-like [solomonoff1964] prior , where is the spectral complexity defined through frequency and phase costs.

This paper provides a constructive bridge to standard quantum cosmology. We show that the dominant contributions to the Euclidean path integral (Hawking’s no-boundary proposal [hawking1979]) are precisely the histories that minimize spectral complexity in a minisuperspace realization of Wheeler-DeWitt space. Classical geodesics thus emerge as the informationally cheapest trajectories.