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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.20398085 |
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Table of Contents:
- <p>Three regularities in prokaryotic proteome composition have been reported separately: a 50/50 binary P1/P2 amino acid partition conserved across kingdoms beyond BLOSUM62 predictions and mediated by charge plus hydrophobicity preservation aligned with first-codon-position structure [3]; an atomic-composition feature H−2O−2N predicting an inverted- Lucas observable c at Pearson r = 0.997 across seven organisms [4]; and clustering of c near L′/(L′ + 1) at small Lucas integers across eleven organisms (p = 0.0069) [5]. The three samples overlap. A leave-one-out discriminator analysis [4] showed compositional regression predicts Lucas-rung clustering as accurately as the measured c values themselves. The present work adds two pre-registered tests of the inferred bridge. (1) The c ↔fP 1 regression of v2 of this manuscript, fit on n = 6, predicts fP 1 = 56.59% for Salinibacter ruber from its reported c = 0.7369; the measured value is 54.75% (strain M31) or 56.29% (species level), both within the pre-registered ±2 pp band. (2) A 16-organism panel spanning four ecologies (halophile, hyperthermophile, mesophile, psychrophile) crossed with two kingdoms (archaea, bacteria), pre-registered with ecology-specific bands, returns 9 of 10 anchored organisms within band. The single failure (Chromohalobacter salexigens, halophilic bacterium,measured fP 1 = 52.64%, predicted 56–60%) is interpretable as the known mechanistic distinction between haloarchaeal salt-in adaptation and bacterial compatible-solute adaptation</p> <p>[6]. With these two pre-registered tests, the three regularities are quantitatively consistent with reading a single charge–hydrophobicity axis organised by first-codon-position structure, with a kingdom-dependent exception in halophile adaptation. We do not argue that Lucas integers carry content beyond their underlying composition; we argue that ecology predicts composition, composition predicts c, and the small-Lucas clustering is a discretisation of bimodal ecological sampling. The salt-in/compatible-solute distinction is a kingdom effect that the P1/P2 readout picks up cleanly.</p> <p> </p>