COS45 Application — Local 2-adic Reserve and Recharge Constraints in Odd Collatz Dynamics (v1.6 7)

This document presents an application of the COS45 framework to the analysis of odd Collatz dynamics. It belongs to the APPLICATION layer and applies the geometric detectability framework to observable quantities derived from 2-adic valuation and local reserve/recharge constraints. No new mathematics is introduced. The analysis follows the COS45 structure:EXACT → OBSERVABLE → DECISION → APPLICATION Observable quantities (δ) are constructed from 2-adic properties of odd iterates. The detectability margin is evaluated through η = δ − τ. In this application, τ = 0 is assumed, leading to η = δ. Admissibility therefore requires δ > 0, T = 1, and R ≥ R_min. All results are contingent on the admissibility conditions…