Test: Employ future CMB missions (e.g., LiteBIRD, PICO) to search for anomalous symmetries and subharmonic structures in the CMB angular power spectrum.
3. Cosmic Web Spectral Analysis
Hypothesis: The filament and void structure of the LSS should conform to predicted modal patterns, especially nested shells and standing wave nodes.
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Test: Perform Fourier transform or wavelet decomposition on LSS data (e.g., from Euclid, DESI) to extract dominant spatial frequencies and compare with theoretical eigenmode spectra.
8.4 A New Class of Cosmological Probes
To further explore Resonant Genesis, we advocate the development of a new class of cosmological observables and instruments:
Resonance Spectrographs: Analogous to optical spectrometers, but designed to detect resonant density fluctuations and spacetime mode coupling signatures.
Multi-scale Modal Interferometry: Instruments optimized for detecting nested resonance patterns across cosmic scales---from baryonic acoustic oscillations to megastructure alignments.
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Fractal-Curvature Mappers: Tools to scan for non-Euclidean self-similar structures embedded in cosmic data, based on fractal geometry and curvature flow techniques.
Appendices
The appendices provide the technical depth necessary for replication, verification, and extension of the results presented in the main body of this paper. These supplementary materials are organized as follows:
