Applying the spectral complexity cost function as a selection weight to the bitstring evolution of Paper II — replacing uniform sampling with Cs-weighted sampling — immediately suppresses the high-entropy white noise of the unweighted ensemble. The dominant configurations are those with low spectral complexity: smoothly varying, wave-governed spatial profiles. Symmetric wave packets and lattice-like structures emerge as the most probable outcomes without being hard-coded.
Two specifically quantum-mechanical phenomena emerge from spectral compression in numerical simulation, without any imposed equations of motion.
Inertia. A localised wave packet moving through the spectral field maintains its velocity without external forcing. The minimum-Cs continuation of a moving packet is the packet continuing to move: any deflection increases the spectral cost by introducing new frequency components. Resistance to deflection — inertia — is the geometric consequence of spectral economy.
Interference. When two wave packets overlap, the minimum-Cs description of the combined state is not the sum of two independent descriptions but a single spectral decomposition of the superposition. The cross-terms — interference fringes — are cheaper to encode than two separate packets because they share spectral modes. Interference emerges as the compression-optimal description of overlapping structures.