First Calculus Supplementary Material, Book V: Genetic Code Foundations

Bibliographic Details
Title: First Calculus Supplementary Material, Book V: Genetic Code Foundations
Authors: Moore, Douglas Joseph Huntington
Contributors: Moore, Douglas Joseph Huntington
Publication Status: Preprint
Publisher Information: Zenodo, 2026.
Publication Year: 2026
Subject Terms: genetic code, genetic code structure, codon degeneracy, codon space, conformal geometry, First Calculus, First-Classness, spacelets, coding theory in biology, molecular biology foundations, origin of genetic code, robustness and evolvability, biological information, non-arbitrary genetic code, codon symmetry, mathematical biology, theoretical biology, structural biology, hypercomplex geometry, computational foundations, Subjects Biology, Molecular Biology, Mathematical Biology, Theoretical Biology, Biophysics, Foundations of Biology, Applied Mathematics, Geometry, Foundations of Science
Description: This Supplementary Material develops the foundational structure underlying the genetic code, derived under the principle of First-Classness (FC). Codons are treated as concrete entities rather than abstract symbols, and the genetic code is shown to arise uniquely from the interaction of dihedral orbit structure, FC typing, and conformal geometry. The material provides the formal basis for the accompanying genetic code paper, establishing the inevitability of the canonical 64→20 structure without appeal to biochemical contingency. Version update (current version):This version completes the foundational treatment of genetic-code degeneracy. Degeneracy is reformulated as dispositional selection rather than redundancy or synonymy, using the r/l-value grammar introduced in Disposition of the Quantum Object. The new sections make explicit how codon families function as concrete dispositional fields, how single translation events correspond to actualisation within those fields, and why large-scale codon usage statistics reveal the underlying dispositional structure. No new results are introduced; the upgrade is conceptual and structural, resolving a previously implicit aspect of the framework
DOI: 10.5281/zenodo.18381843
Rights: CC BY
Accession Number: edsair.doi...........e239677dc2c1fdd663b52beeb6018696
Database: OpenAIRE
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