alpha-invariance-of-local-global-pattern

IN premise — summaries/2026/08/24/aristotelian-2026-sR-references-chunk-4.md

Created 2026-08-24T17:10:51+00:00

The qualitative pattern of no convergence trend for global metrics and retained trend for local metrics is invariant across significance levels α ∈ {0.01, 0.05, 0.10}; calibration is the critical factor, not the specific σ or α value

Summary

The core finding that global metrics fail to converge while local metrics keep trending holds no matter which statistical threshold you apply, so the result is not an artifact of a particular cutoff choice. What actually drives the outcome is the calibration step, meaning the system should focus its tuning effort there rather than debating which alpha or sigma value to use.