EOA-43 Core Evidence: LCR Across Encodings, Rank Collapse, and Dashboard

Abstract

This item contains three figures from the EOA Program.1. eoa43_lcr_across_encodings_6E.png — Bar chart of the limiting constant ratio (LCR) across nine phonetic encodings. Six English encodings range from 2.689 to 3.306. Hebrew is 2.710, Arabic 2.751, Greek 4.128. The dashed line marks π. The English modified-5 encoding lands at 3.141, sharing five decimal places with π before diverging. The proximity is a coincidence, not a structural claim.2. eoa43_pca_rank_collapse.png — Cumulative variance explained by principal components of the 16 distinct 43-term sequence vectors. Raw vectors collapse to effective rank 1 (PC1 captures over 99% of variance). After per-dimension standardization, PC1 still captures over 90%, ruling out the scaling artifact explanation. A random 43-dimensional baseline requires many more components.3. eoa43_dashboard_modified5.png — Screenshot of the EOA dashboard for the modified-5 encoding. Shows the limiting ratio to 50 digits, the integer sequence, and the prime counter: 8 prime terms among the first 499, including a 231-digit prime at term 463.Source: EOA Program Parts I and II, and the Supplementary Note. Part of the Engineering of Alphabets (EOA) research program by Bahaa BuDargham, Neurolabs Inc., Montreal.Data and code: https://github.com/bahaa-budargham/eoa-sequencesContact for collaboration: bdarghamneurolabs@gmail.com