Aging Trajectory

The aging trajectory is the τ-categorical monotonic-growth path of the defect functional V_n on a finite-lineage carrier: the time-averaged accumulation of multi-level damage that exceeds the carrier's bounded repair budget and eventually drives distinction collapse. It is the τ-effective interpretation of biological aging.

Categorical invariant. Monotonic non-decreasing trajectory t ↦ V̄_n(t) on the carrier's defect functional (VI.D43), with multi-level support across the refinement tower {X_n} and irreversibility on every internal repair endomorphism.

Primary registry anchor: VI.D43

Supporting items: VI.P16, VI.D25, VI.D15

1. I.K0 — Universe Postulate
2. VI.D15 — Life Sector
3. VI.D25 — Temporal Stability Predicate
4. VI.D43 — Aging as Defect Accumulation — monotonic, multi-level, irreversible
5. VI.P16 — Repair Budget Exhaustion — finite R_max guarantees finite t*

Biomarker: Nine hallmarks of aging (López-Otín et al. 2013/2023): genomic instability, telomere attrition, epigenetic drift, loss of proteostasis, deregulated nutrient sensing, mitochondrial dysfunction, cellular senescence, stem cell exhaustion, altered intercellular communication; epigenetic age (Horvath, GrimAge clocks).

Measurable range: Gompertz mortality coefficient γ ≈ 0.085 yr⁻¹ in humans (mortality doubling time ~8.1 yr after age 30); maximum observed human lifespan 122 yr (Calment); caloric restriction extends rodent lifespan by 20–40%.

Observation method: Longitudinal biomarker panels, Horvath/GrimAge methylation clocks, telomere-length qPCR, senescence-associated β-galactosidase staining, multi-omics aging atlases, Gompertz fitting of population mortality curves.

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

Anchor chain:

1. VI.L18 chirality channel
2. racemization of L-amino acids in long-lived proteins (e.g., aspartate in eye-lens crystallins)
3. loss of homochirality as a molecular aging signature

Manuscript reference: manuscript-sources/book-06/part05/ch30-death-aging.tex

Status: Planned

Related glossary entries

• LG-T05-hayflick-limit Hayflick Limit (Neural)
• LG-T06-sleep-repair Sleep Repair Function
• LG-Y02-kinetic-pseudoscalar-channel Kinetic Pseudoscalar Channel

Referenced by

• LG-T05-hayflick-limit Hayflick Limit (Neural)
• LG-T06-sleep-repair Sleep Repair Function
• LG-T09-generation-time Generation Time