Projective Dynamic Logo (PDL) — Global Mapping of Structures, Results, and Open Problems — Version 33 — A Guide for Continuation of the Programme

This version (v33) supersedes v32. It adds two documents from a language-oriented exploratory session (Session 74) distinct from, but building on, both the philosophical register of D19/DN and the PDL-V programme. D19ad, a philosophical addendum to D19, derives the binary cardinality of axiom C1 from the nature of a single act of distinction and dissolves a previously unexamined presupposition of the trace-to-memory argument (the "bearer problem"). DL03 extends DL01/DL02 with three unconditional, computationally verified results: the electron's V4-orbit alphabet forms a maximum-distance linear code (Hamming bound saturated, zero redundancy at minimal distance); K4 and C4 are identified as dense/sparse Cayley graphs on the same group, embedding the electron in a super-exponentially growing hypercube family; and a threefold independent characterisation of n=4 is exhibited, sharing the exact algebraic factor (n-4). No numerical threshold value for life or consciousness is established. As throughout the corpus, every result carries an explicit epistemic label, and negative results are documented with the same rigour as positive ones. Full corpus, verification scripts, and version history: github.com/laubscher-lab/PDL-framework.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-23
DOI
https://doi.org/10.5281/zenodo.21520303
Primary Topic
Computability, Logic, AI Algorithms
Type
article
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article

Projective Dynamic Logo (PDL) — Global Mapping of Structures, Results, and Open Problems — Version 33 — A Guide for Continuation of the Programme

Cédric Laubscher
Zenodo (CERN European Organization for Nuclear Research)
Computability, Logic, AI Algorithms
article

Projective Dynamic Logo (PDL) — Global Mapping of Structures, Results, and Open Problems — Version 33 — A Guide for Continuation of the Programme

Cédric Laubscher
article en

Abstract

This version (v33) supersedes v32. It adds two documents from a language-oriented exploratory session (Session 74) distinct from, but building on, both the philosophical register of D19/DN and the PDL-V programme. D19ad, a philosophical addendum to D19, derives the binary cardinality of axiom C1 from the nature of a single act of distinction and dissolves a previously unexamined presupposition of the trace-to-memory argument (the "bearer problem"). DL03 extends DL01/DL02 with three unconditional, computationally verified results: the electron's V4-orbit alphabet forms a maximum-distance linear code (Hamming bound saturated, zero redundancy at minimal distance); K4 and C4 are identified as dense/sparse Cayley graphs on the same group, embedding the electron in a super-exponentially growing hypercube family; and a threefold independent characterisation of n=4 is exhibited, sharing the exact algebraic factor (n-4). No numerical threshold value for life or consciousness is established. As throughout the corpus, every result carries an explicit epistemic label, and negative results are documented with the same rigour as positive ones. Full corpus, verification scripts, and version history: github.com/laubscher-lab/PDL-framework.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 7%
Computability, Logic, AI Algorithms
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