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May 31, 20260 citationsOpen Access

NT16: Regime Analysis and Signal-Envelope Decomposition for the wᵦ = 11. 1991 Minimum

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JGJosé Luis Vázquez González

Key Points

  • This note aims to apply a regime analysis framework to interpret the ω_z = 11.1991 minimum within the COCM oscillatory parametrisation.
  • Utilized regime analysis with six components to explore the ω_z = 11.1991 minimum
  • Conducted robustness tests from five independent routes to validate findings
  • Implemented signal-envelope decomposition to separate oscillatory behavior from smooth components.
  • Identified a regime boundary n_crit separating resolvable from degenerate behavior
  • Established a candidate sector invariant relation independent of other parameters
  • Provided a comprehensive framework for future analysis in interpreting COCM results.

Abstract

This note applies a regime-analysis framework to the ωᵦ = 11. 1991 minimum of the COCM oscillatory parametrisation. The analysis has six components: (1) separation of the base law from its regime correction; (2) identification of a regime boundary ncrit separating resolvable from degenerate behaviour; (3) a candidate sector invariant — the harmonic amplitude ratio P (2ωᵦ) /P (ωᵦ) ∝ e⁴. 86 — independent of A₀ and φ; (4) a formal signal–envelope decomposition separating the oscillatory component from the smooth w₀wₐ envelope; (5) convergent robustness tests from five independent routes; and (6) an explicit scope-and-limits section. The analysis does not propose a new physical law; it provides a methodological framework for interpreting existing results and identifying what DESI DR3 must resolve.

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Cite This Study

José Luis Vázquez González (2026) studied this question.

synapsesocial.com/papers/6a1bd2845783ba022b6fe0ddhttps://doi.org/10.5281/zenodo.20448043
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