The Engineering of Alphabets (EOA) program investigates a class of deterministic symbolic representations derived from letter-name strings. The research spans symbolic dynamics, representation theory, and the algebraic structure of phonetic encodings.
Research
Core Observations
- Recursive operator β maps letter names to convergent numerical sequences.
- Limiting Constant Ratio (LCR) depends on phonetic encoding: 3.037 (English primary), 2.689 (English alt), 3.306 (English alt), 2.751 (Arabic), 2.710 (Hebrew), 4.128 (Greek).
- 26 English letters collapse to a 16-element basis.
- Word vectors built from this basis exhibit rank-1 dimensionality reduction.
- Self-similar, tree-like fractal structure hinted at underlying the basis collapse.
Open Questions
- What operator class produces this convergence?
- Why does the 26-letter alphabet collapse to exactly 16 basis sequences?
- Can we design encodings whose LCR approximates π, e, or the golden ratio?
- Does the generation process exhibit a formal fractal geometry?
Publications
The EOA Program, Part 0: The Engineering of Alphabets as an Open Frontier
B. Budargham (2026). PDF
The EOA Program, Part I: A Rank-Collapsed Deterministic Symbolic Representation with a Convergent Recursive Basis
B. Budargham (2026). arXiv:XXXX.XXXXX
The EOA Program, Part II: Empirical Cross-Encoding Variation of the Limiting Ratio (LCR)
B. Budargham (2026). In preparation
Data & Code
Contact
For collaboration or access to restricted materials (basis sequences, oracle, or operator), please contact:
bdarghamneurolabs(at)gmail.com