Log-periodic spacing between structural elements, resembling acoustic harmonic overtones.
4.4 Towards Predictive Cosmic Patterning
The ultimate goal of this formalism is to derive observable cosmic structure from first principles of spacetime resonance. This contrasts with the stochastic inflationary perturbation model and opens the door to deterministic cosmic cartography:
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Given initial mode amplitudes and geometry , one can simulate and thus forecast cosmic features.
This could yield predictive patterns in galaxy distributions, void statistics, and CMB multipole alignments.
Observable large-scale symmetries---such as the CMB "Axis of Evil"---may reflect specific dominant eigenmodes.
Such a framework positions eigenmodes not merely as mathematical tools, but as ontological generators of structure---bridging physical cosmology and the metaphysical question of why the universe has the shape it does.
5. Empirical Justification and Observational Correlations
5.1 High-Redshift Galaxies and Early Cosmic Maturity (JWST Data)
The James Webb Space Telescope (JWST) has revealed an unexpected population of massive, morphologically mature galaxies at high redshifts (z > 10), such as those reported in the JADES and CEERS surveys. These galaxies exhibit properties (stellar mass, compact morphology, dust content) previously thought to require several hundred million years of post-Big Bang evolution---yet they are observed just ~300 Myr after the Big Bang.
Within the standard CDM framework, such observations strain the hierarchical model of structure formation, which predicts that galaxies grow through successive mergers and accretion. The short timescales challenge the ability of even exotic early star formation scenarios (e.g., Population III stars) to explain the observed structures.
