1 Introduction
2 The Compression Hypothesis
2.1 The MPEG Analogy
2.2 The Dithering Analogy and the Born Rule
2.3 Fermions, Bosons and Pauli Exclusion
3 Spectral Complexity
3.1 From Kolmogorov to Spectral Complexity
3.2 Resolution of the Boltzmann Brain Problem
4 Numerical Results
4.1 Emergence of Smooth Spacetime
4.2 Emergence of Inertia and Interference
5 Conclusion