NT16: Regime Analysis and Signal-Envelope Decomposition for the w_z = 11.1991 Minimum

This note applies a regime-analysis framework to the ω_z = 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 n_crit separating resolvable from degenerate behaviour; (3) a candidate sector invariant — the harmonic amplitude ratio P(2ω_z)/P(ω_z) ∝ e^4.86 — independent of A_0 and φ; (4) a formal signal–envelope decomposition separating the oscillatory component from the smooth w_0w_a 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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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-29
DOI
https://doi.org/10.5281/zenodo.20448042
Primary Topic
Numerical methods for differential equations
Type
article
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article

NT16: Regime Analysis and Signal-Envelope Decomposition for the w_z = 11.1991 Minimum

José Luis Vázquez González
Zenodo (CERN European Organization for Nuclear Research)
Numerical methods for differential equations
article

NT16: Regime Analysis and Signal-Envelope Decomposition for the w_z = 11.1991 Minimum

José Luis Vázquez González
article en

Abstract

This note applies a regime-analysis framework to the ω_z = 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 n_crit separating resolvable from degenerate behaviour; (3) a candidate sector invariant — the harmonic amplitude ratio P(2ω_z)/P(ω_z) ∝ e^4.86 — independent of A_0 and φ; (4) a formal signal–envelope decomposition separating the oscillatory component from the smooth w_0w_a 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.

Zenodo (CERN European Organization for Nuclear Research)
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Numerical methods for differential equations
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