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.
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
τ-Derivation Chain
-
I.K0— Universe Postulate -
VI.D15— Life Sector — carriers with τ-distinction D -
VI.D25— Temporal Stability Predicate — life requires stable temporal structure -
VI.D27— Temporal Lemniscate — closed temporal loop class on τ¹ -
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:
- VI.L18 chirality channel
- stereospecificity of CDK active sites and DNA-polymerase substrate recognition (L-amino acids, D-deoxyribose)
- homochirality of the replicated DNA double helix
Manuscript reference: manuscript-sources/book-06/part06/ch35-cell-cycle.tex
Lean Coverage
Status: Planned