Results Glossary Entry Canonical life The cell cycle is the τ-categorical α-winding of a Life carrier's reproduction loop: a temporally ordered sequence (G1 → S → G2 → M) that duplicates the distinction boundary D: X → 2_τ and partitions it into two daughter carriers. It is the…
Results · Life Glossary · Temporal LG-T02-cell-cycle Ω_cc Canonical Lean · planned

Cell Cycle

The cell cycle is the τ-categorical α-winding of a Life carrier's reproduction loop: a temporally ordered sequence (G1 → S → G2 → M) that duplicates the distinction boundary D: X → 2_τ and partitions it into two daughter carriers. It is the fundamental unit of carrier reproduction in the persistence sector.

Life Glossary Primary: VI.D48 cell cycle mitosis alpha winding checkpoint carrier reproduction

τ-Definition

The cell cycle is the τ-categorical α-winding of a Life carrier's reproduction loop: a temporally ordered sequence (G1 → S → G2 → M) that duplicates the distinction boundary D: X → 2_τ and partitions it into two daughter carriers. It is the fundamental unit of carrier reproduction in the persistence sector.

Categorical invariant. α-winding of the carrier's reproduction loop on τ¹, gated by three evaluator subroutines (G1/S, G2/M, SAC checkpoints) that read the distinction state and halt the cycle if the specification is unmet.

Primary registry anchor: VI.D48

Supporting items: VI.D25, VI.D27, VI.D15

τ-Derivation Chain

  1. I.K0 — Universe Postulate
  2. VI.D15 — Life Sector — carriers with τ-distinction D
  3. VI.D25 — Temporal Stability Predicate — life requires stable temporal structure
  4. VI.D27 — Temporal Lemniscate — closed temporal loop class on τ¹
  5. VI.D48 — Multicellularity as Colimit — colimit of cell-cycle copies establishes the cellular reproduction unit

Empirical Correlate

Biomarker: Cyclin/CDK pulses (cyclin D-CDK4/6 in G1, cyclin E-CDK2 at G1/S, cyclin A-CDK2 in S/G2, cyclin B-CDK1 in M); DNA content 2n→4n by flow cytometry; phospho-histone H3 (Ser10) marks M phase; checkpoint kinases ATM/ATR, Chk1/Chk2, p53/p21.

Measurable range: Total cycle ≈ 24h for typical human somatic cells (G1 ~11h, S ~8h, G2 ~4h, M ~1h); 8–30 min in early-cleavage embryos (no G1/G2); G0 quiescence indefinite for postmitotic neurons and muscle.

Observation method: Flow cytometry (DNA content), live-cell imaging with FUCCI reporters, BrdU/EdU pulse-chase, phospho-histone H3 immunostaining for M-phase, time-lapse microscopy of mitotic figures.

Calibration anchor: LG-Y02-kinetic-pseudoscalar-channel

Anchor chain:

  1. VI.L18 chirality channel
  2. stereospecificity of CDK active sites and DNA-polymerase substrate recognition (L-amino acids, D-deoxyribose)
  3. homochirality of the replicated DNA double helix

Manuscript reference: manuscript-sources/book-06/part06/ch35-cell-cycle.tex

Lean Coverage

Status: Planned

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