Common-Mode Blindness and Minimal External Anchoring on Reciprocal Networks

Open Review Preprint (v0.1.2) This manuscript develops exact graph-theoretic results concerning common-mode blindness and minimal external anchoring in reciprocal measurement networks. It analyzes the information carried by relative measurements, derives minimal anchoring conditions for observability, and provides reproducible computational demonstrations. This work is released as an Open Review Preprint. It has not undergone external peer review. Complete source materials, reproducibility scripts, figures, and verification artifacts are included to facilitate independent examination, reproduction, and critique. Readers are invited to verify the mathematical derivations, identify relevant prior work, reproduce the computational results, and communicate corrections, counterexamples, or improvements. This work is derived from the earlier Unified Motion–Information Geometry (UMIG) research program but is intended to stand as an independently reviewable mathematical manuscript.