Mitosis
Mitosis is the τ-categorical Carrier-Refinement morphism specialised to the somatic-eukaryotic regime: a controlled five-phase splitting (prophase, metaphase, anaphase, telophase, cytokinesis) that yields two genetically identical daughter carriers while preserving organisational structure and DecodeHorizon. It is the canonical fourth-hallmark instantiation (growth-by-organisational-increase) at the unit-cell level.
τ-Definition
Mitosis is the τ-categorical Carrier-Refinement morphism specialised to the somatic-eukaryotic regime: a controlled five-phase splitting (prophase, metaphase, anaphase, telophase, cytokinesis) that yields two genetically identical daughter carriers while preserving organisational structure and DecodeHorizon. It is the canonical fourth-hallmark instantiation (growth-by-organisational-increase) at the unit-cell level.
Categorical invariant. Mitosis = active refinement morphism C ↦ C ⊔ C with σ*(SelfDesc) coherent and Δn = 0 (no SelfDesc-extension; merely lineage replication) — special-case of VI.T11 with refinement degenerate.
Primary registry anchor:
VI.T11
τ-Derivation Chain
Empirical Correlate
Biomarker: Phospho-histone-H3 (Ser10) as M-phase marker; cyclin B/CDK1 activity peak; mitotic spindle visualised by α-tubulin antibody; DAPI-stained chromosome condensation; aurora-A and aurora-B kinase localisation.
Measurable range: Mitotic phase duration ~30-60 min in mammalian cells (vs. 18-24 h full cycle); spindle pole separation ~10-20 μm at metaphase; chromosome alignment fidelity (lagging-chromosome rate <1% per division in healthy cells).
Observation method: Phase-contrast and DIC live-cell microscopy; immunofluorescence for pHH3, tubulin, kinetochore proteins; flow-cytometry G2/M gate via DNA content; spinning-disk confocal for spindle dynamics.
Calibration anchor: LG-Y02-kinetic-pseudoscalar-channel
Anchor chain:
- VI.L18 chirality channel
- left-handed B-form DNA preserved through every mitotic chromosome condensation cycle
- tubulin α/β heterodimer chirality preserved at every spindle assembly
Manuscript reference: manuscript-sources/book-06/part01/ch09-seven-hallmarks.tex
Lean Coverage
Status: Planned