Cellular Replication
Cellular replication is the τ-categorical Carrier-Splitting morphism that transmits the ω-germ code from a parent carrier to a daughter carrier while preserving DecodeHorizon constancy. It is the categorical mechanism guaranteeing fifth-hallmark inheritance: SelfDesc(parent) = SelfDesc(daughter) at the moment of splitting.
τ-Definition
Cellular replication is the τ-categorical Carrier-Splitting morphism that transmits the ω-germ code from a parent carrier to a daughter carrier while preserving DecodeHorizon constancy. It is the categorical mechanism guaranteeing fifth-hallmark inheritance: SelfDesc(parent) = SelfDesc(daughter) at the moment of splitting.
Categorical invariant. Replication = Carrier-Splitting morphism σ : C ↦ C ⊔ C with σ*(SelfDesc) coherent and DecodeHorizon constant — the τ-categorical content of the Reproduction-Blueprint-Propagation theorem (VI.T12).
Primary registry anchor:
VI.T12
τ-Derivation Chain
Empirical Correlate
Biomarker: Cell-cycle markers (cyclin A/B, CDK1, PCNA); BrdU/EdU incorporation as replicating-DNA reporter; mitotic index; doubling time; replicative fidelity (mutation rate per base per division ~10⁻¹⁰ in humans).
Measurable range: E. coli doubling time ~20 min (rich medium); human somatic cells ~24 h; Hayflick limit ~40-60 divisions for fibroblasts; replication fork rate ~1-2 kb·s⁻¹ in eukaryotes; per-base error rate <10⁻⁹ post-proofreading.
Observation method: Live-cell imaging with fluorescent ubiquitination cell-cycle indicator (FUCCI); flow cytometry DNA-content profile (G1/S/G2/M); EdU/BrdU pulse labeling; single-molecule sequencing for fidelity.
Calibration anchor: LG-Y02-kinetic-pseudoscalar-channel
Anchor chain:
- VI.L18 chirality channel
- D-deoxyribose handedness preserved at every replication fork
- stereospecific Watson-Crick base-pairing inherited via the chirality channel
Manuscript reference: manuscript-sources/book-06/part01/ch09-seven-hallmarks.tex
Lean Coverage
Status: Planned