Three-Domain Sector Taxonomy
The Three-Domain Sector Taxonomy is the τ-categorical correspondence that maps Woese's three domains of life onto the τ-sector structure: Archaea ↔ persistence sector (α-base), Bacteria ↔ agency sector (π-base), Eukarya ↔ fiber-enabled regime (a platform that hosts all five sectors). It re-derives the SI-bridge biology classification from categorical first principles.
τ-Definition
The Three-Domain Sector Taxonomy is the τ-categorical correspondence that maps Woese's three domains of life onto the τ-sector structure: Archaea ↔ persistence sector (α-base), Bacteria ↔ agency sector (π-base), Eukarya ↔ fiber-enabled regime (a platform that hosts all five sectors). It re-derives the SI-bridge biology classification from categorical first principles.
Categorical invariant. Bijection from {Archaea, Bacteria, Eukarya} to {α-base sector, π-base sector, fiber-enabled regime} where the first two are sectors of Loop_L and the third is a platform supporting all five.
Primary registry anchor:
VI.D35
τ-Derivation Chain
Empirical Correlate
Biomarker: Woese's three domains (rRNA-defined): Archaea (extremophile, lipid ether-linked, persistence-archetype); Bacteria (motile, peptidoglycan, agency-archetype); Eukarya (organelle-bearing, mitosis/meiosis, fiber-enabled platform). Independent SSU rRNA phylogenies of all sequenced cellular life recover this three-fold split at the deepest node.
Measurable range: 16S/18S rRNA branch-length separation: 0.20-0.35 substitutions/site between domains (Woese-Fox 1977 and successors); ~10⁵ named species per domain (orders of magnitude undersampled); membrane lipid signature: ether-linked isoprenoid (Archaea) vs ester-linked fatty acid (Bacteria, Eukarya); cell-volume range from ~0.1 μm³ (smallest Archaea) to ~10⁶ μm³ (largest Eukarya).
Observation method: Small-subunit rRNA sequencing (16S/18S); whole-genome phylogenetics; lipid biomarker mass spectrometry; cryo-electron microscopy for cellular architecture; metagenomic shotgun sequencing for environmental abundance.
Calibration anchor: LG-Y02-kinetic-pseudoscalar-channel
Anchor chain:
- VI.D35 Three-Domain Sector Taxonomy
- all three domains share K_χ chirality (universal homochirality)
- the K_χ universality is the τ-categorical reason the LUCA is a single root despite three domains
Manuscript reference: manuscript-sources/book-06/part04
Lean Coverage
Status: Planned