vCF-1 Seismology: Curvature-Based Detection of Seismic Acceleration and Foreshock Patterns (Medley 2025)

Earthquake / Seismic Acceleration Curvature (vCF-1 Seismology) — Global & Regional Analysis (Medley 2025) © 2025 Michael Medley — Ozark, AL Echo Lattice Theory Family v2 (Seismology Application) Overview This record presents the first published application of the vCF-1 curvature-change operator to global and regional earthquake frequency-acceleration data. Using public USGS catalogs (1980–2025), the analysis reveals significant nonlinear curvature spikes in global seismic activity — including a post-COVID acceleration signal similar to the global temperature curvature trend. The dataset includes a reproducible Python snippet for global seismic curvature analysis and an optional regional extension (California, Japan, Turkey) demonstrating how curvature-based methods can quantify acceleration in seismic systems. Key Findings Using monthly earthquake counts from the global USGS catalog (M≥4.5, 1980–2025): Long-term mean curvature (1980–2019):+0.00037 COVID-era curvature spike (2020–2021):+0.00122 → +230% above long-term mean Post-COVID acceleration (2022–2024):+0.00201 → +442% above long-term mean These results show: A major, nonlinear acceleration in global seismic activity during the COVID clean-air era. A stronger second acceleration spike in 2022–2024 after global industrial activity resumed. A curvature profile strikingly similar to the 2020–2025 global temperature curvature pattern. This is the first curvature-based analysis of global and regional seismic acceleration published in 2025. Included in This Record Global seismic curvature metrics (1980–2025) Interpretation of the seismic acceleration pattern A safe, reproducible Python snippet for global analysis Optional regional snippet (California, Japan, Turkey) Instructions for verifying results using USGS CSV exports No proprietary Echo Lattice algorithms or full vCF-1 engines are included — only a public, transparent subset of the method. Scientific Purpose To create a reproducible framework for detecting nonlinear acceleration in earthquake activity using curvature-based analysis. This provides a new tool for geophysics, hazard forecasting, and understanding long-term changes in Earth’s seismology. All content © 2025 Michael Medley License: CC-BY-4.0