Results Glossary Entry Canonical life 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 …
Results · Life Glossary · Process LG-P07-mitosis μ Canonical Lean · planned

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.

Life Glossary Primary: VI.T11 process carrier refinement fourth hallmark somatic division

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

Supporting items: VI.T12, VI.D05, VI.D11, VI.D12

τ-Derivation Chain

  1. I.K0 — Universe Postulate
  2. VI.D15 — Life Sector
  3. VI.D05 — Finite-Lineage Carrier — somatic regime
  4. VI.T11 — Growth-Carrier-Refinement — fourth hallmark
  5. VI.T12 — Reproduction-Blueprint-Propagation — fifth hallmark applied at cell scale

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:

  1. VI.L18 chirality channel
  2. left-handed B-form DNA preserved through every mitotic chromosome condensation cycle
  3. 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

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