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Tornado Genesis as a Phase-Locked Atmospheric System (v1.2) Alignment, Persistence, and Lock Margin Author: Hollis Black (Independent Researcher) Abstract This work advances a mechanistic framework for tornado genesis based on phase-locked atmospheric alignment. Building on prior versions, this update introduces a stability-depth metric, the Lock Margin (LM), alongside Alignment Index (AI), Locked Alignment Index (LAI), and lead-time definitions. Case analyses from the April 27, 2011 Alabama outbreak and the May 20, 2013 Moore, Oklahoma outbreak demonstrate that tornado occurrence, duration, and intensity scale with both the persistence and depth of alignment locking. Near-miss supercells achieve transient alignment but fail to sustain locking or develop positive lock margin. The framework approaches predictive relevance without making operational forecasting claims. Method (Summary) Radiosonde and RAP analysis data were evaluated across fixed vertical layers (0–1 km, 1–3 km, 3–6 km). AI measures instantaneous vertical coherence of wind shear, moisture continuity, and angular momentum. LAI weights AI by temporal stability over a rolling pre-event window. Lead time is defined as the interval between tornado genesis and sustained LAI threshold crossing. Lock Margin (LM) quantifies the minimum excess of LAI above the locking threshold during the locked interval. No parameter tuning was performed between cases or outbreaks. Results Across both outbreaks, storms stratify consistently in AI–LAI–LM space. Near-miss storms exhibit moderate AI but fail persistence criteria, yielding undefined lead time and LM. Weak tornadoes demonstrate marginal locking with small positive LM and short effective lead times. Strong and violent tornadoes display early lock onset, sustained LAI, and large LM values. This ordering holds across distinct synoptic regimes. Definitions Lock Margin (LM): Let t■ denote lock onset, defined as the earliest time at which LAI(t) ≥ LAI■■■ and remains above threshold until tornado genesis. Lock Margin is defined as LM = min■∈[t■,0](LAI(t) − LAI■■■), with LAI■■■ = 0.15. LM quantifies the robustness of phase locking independent of lead time. Scope and Limitations This framework is not presented as an operational forecasting model. It is a post-hoc mechanistic discriminator intended to explain selective tornado genesis and intensity scaling under otherwise favorable conditions. Case counts remain intentionally small, and values are approximate; ordering and structural separation are emphasized over absolute magnitude. Conclusion Tornado formation is governed not solely by atmospheric ingredients but by the emergence, persistence, and depth of phase-locked alignment. Incorporating lock margin completes the mechanistic picture, distinguishing marginal from robust tornadoes and clarifying why many intense storms fail to produce tornadoes. The framework provides a foundation for cautious future exploration of predictive lead time without overreach.
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