A Deterministic Symbolic Sequence from Phonetic Letter Encoding: Sublinear Complexity and an LCR near π
We report a deterministic symbolic sequence generated from a single English letter name using a recursive operator on phonetic encodings. The first 2,000 symbols exhibit sublinear factor complexity, zero topological entropy, near-deterministic letter transitions, and a limiting growth ratio close to π. The sequence is shown over a 16-letter alphabet that has been permuted by a fixed 1–1 substitution for staged disclosure. The original mapping and operator are withheld under the EOA staged disclosure policy and can be made available under a signed collaboration agreement. We provide the sequence, its statistics, and open questions. We invite collaboration to identify the underlying substitution or automaton and to explain the observed phenomena.
Authors
- Bahaa Budargham (ORCID: https://orcid.org/0009-0000-2922-8904)
Institutions
- Institute of Neurobiology (BG)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-09-21
- DOI
- https://doi.org/10.5281/zenodo.22880373
- Primary Topic
- semigroups and automata theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00