On Signed Möbius Correlations in a Binary Goldbach Research Framework

This working preprint investigates signed Möbius correlations within a three-component analytic sieve framework motivated by the Binary Goldbach Conjecture. The manuscript develops classical-input arguments for deterministic main-term matching (Component 1) and small-error control (Component 3) on an explicitly defined, restricted three-prime support. It identifies a signed large-divisor correlation (Component 2) as a remaining open mathematical obstruction. The results are presented for the stated frozen model and remain subject to independent specialist mathematical review. Neither Component 2 nor the Binary Goldbach Conjecture is proved. Author: Dr. Gregory C. Stamp. Research assistance from ChatGPT, Claude, and Grok is disclosed in the manuscript. Version 2.3. Manuscript licensed under CC BY 4.0. Original research software is not included and remains separately rights-reserved.