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.

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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
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article

A Deterministic Symbolic Sequence from Phonetic Letter Encoding: Sublinear Complexity and an LCR near π

Bahaa Budargham
Zenodo (CERN European Organization for Nuclear Research)
semigroups and automata theory
article

A Deterministic Symbolic Sequence from Phonetic Letter Encoding: Sublinear Complexity and an LCR near π

Bahaa Budargham
article en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Institute of Neurobiology (BG)
Openalex Percentile: Top 9%
semigroups and automata theory
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