Aging
Aging is the τ-categorical monotonic growth of the time-averaged defect functional across the refinement tower of a finite-lineage carrier. It is not 'wear-and-tear' but the categorical accumulation of frame-closure and saturation defects at every refinement level — irreversible, multi-scale, and bounded by the carrier's repair budget (VI.D45).
τ-Definition
Aging is the τ-categorical monotonic growth of the time-averaged defect functional across the refinement tower of a finite-lineage carrier. It is not 'wear-and-tear' but the categorical accumulation of frame-closure and saturation defects at every refinement level — irreversible, multi-scale, and bounded by the carrier's repair budget (VI.D45).
Categorical invariant. Aging = monotone-non-decreasing trajectory t ↦ ⟨Δ⟩(t) of the lexicographic defect functional (VI.D55) across the carrier ladder, with the nine hallmarks of aging realised as level-specific defect modes.
Primary registry anchor:
VI.D43
Supporting items:
VI.D55,
VI.D56,
VI.D57,
VI.D45,
VI.P16,
VI.D85
τ-Derivation Chain
Empirical Correlate
Biomarker: Epigenetic clock (Horvath methylation age); telomere length; senescence-associated β-galactosidase (SA-βGal); GDF15; lipofuscin accumulation; mitochondrial DNA heteroplasmy; cellular senescence markers p16^INK4a, p21.
Measurable range: Human Hayflick limit ~40-60 fibroblast divisions; telomere shortening ~50-200 bp per division; epigenetic clock acceleration <±5 yr in healthy adults; mortality doubling time ~8 years (Gompertz law) above age 30.
Observation method: DNA methylation arrays (Illumina EPIC) for Horvath/Hannum clock; qPCR or TRF Southern blot for telomere length; SA-βGal histochemistry; whole-blood inflammatory cytokine panels; cohort longitudinal mortality data.
Calibration anchor: LG-Y02-kinetic-pseudoscalar-channel
Anchor chain:
- VI.L18 chirality channel
- racemisation of L-amino acids in long-lived proteins (e.g. lens crystallins) as direct chirality-decay biomarker
- D-aspartate accumulation in tooth dentine and cartilage as forensic age marker
Manuscript reference: manuscript-sources/book-06/part05/ch30-death-aging.tex
Lean Coverage
Status: Planned