Internal Evaluator
An internal evaluator is a τ-categorical morphism in End(X) that decodes the carrier's own ω-germ without invoking an oracle. Three conditions: (i) it lives in the carrier's endomorphism algebra, (ii) its domain is contained in X, (iii) it requires no morphism from outside X. Internal vs external is the boundary between SelfDesc and observation.
τ-Definition
An internal evaluator is a τ-categorical morphism in End(X) that decodes the carrier's own ω-germ without invoking an oracle. Three conditions: (i) it lives in the carrier's endomorphism algebra, (ii) its domain is contained in X, (iii) it requires no morphism from outside X. Internal vs external is the boundary between SelfDesc and observation.
Categorical invariant. Endomorphism Eval_X ∈ End(X) with domain ⊆ X and no oracle dependency; the categorical condition that separates SelfDesc systems from externally-decoded ones.
Primary registry anchor:
VI.D09
τ-Derivation Chain
Empirical Correlate
Biomarker: Carrier-internal decoding machinery: ribosome (mRNA decoding), RNA polymerase (DNA decoding), aminoacyl-tRNA synthetases (charging fidelity), DNA polymerase + proofreading, mismatch repair, spliceosome — all reside inside the cell membrane and use only carrier-supplied substrates.
Measurable range: Ribosome translation fidelity ≈ 1 error per 10⁴ codons (without proofreading) → 10⁻⁵-10⁻⁶ with kinetic proofreading; DNA polymerase fidelity ≈ 10⁻⁵ raw → 10⁻⁹-10⁻¹⁰ with proofreading + MMR; aminoacyl-tRNA synthetase fidelity ≈ 10⁻⁴-10⁻⁵.
Observation method: In vitro translation with purified components; ribosome profiling for translation rate / errors; cell-free transcription-translation systems (PURE); CRISPR knockouts of decoding machinery; structural biology of ribosome decoding center; minimal-genome experiments (Mycoplasma JCVI-syn3.0).
Calibration anchor: LG-Y02-kinetic-pseudoscalar-channel
Anchor chain:
- VI.L18 chirality channel
- decoding machinery itself built from L-amino-acid proteins and D-sugar RNAs
- evaluator's chirality is the carrier's chirality (no external chirality input)
- internal-evaluator condition is chirality-channel-internal
Manuscript reference: manuscript-sources/book-06/part01/ch05-selfdesc.tex
Lean Coverage
Status: Planned
Module: TauLib.BookVI.LifeCore.SelfDesc
Lean kind: structure
Lean symbol: Tau.BookVI.SelfDesc.InternalEvaluator