THM0062canonicalv1Ontic Identity Invariance (Hinge 8)
In the tau-kernel, normalisation to canonical form is unique and path-independent (NF map Norm: Code -> Code^NF). No admissible construction introduces shadow identities. Ontic identity is invariant under admissible symmetries (kernel-axiom-preserving tau-endofunctors). Identity slippage is zero at every primorial-ladder stage. Proved via three independent blockings of diagonal-resonance components L/E/P (KAxiom 5, NF confluence, *-autonomous structure). Source: Hinge 8 (kernel-foundation) main.tex Thm 1.1 + section-06-ontic-identity Thm 6.1; cites Book I Thm I.T46.
Payload
Ontic Identity Invariance (Hinge 8)
In the tau-kernel, normalisation to canonical form is unique and path-independent (NF map Norm: Code -> Code^NF). No admissible construction introduces shadow identities. Ontic identity is invariant under admissible symmetries (kernel-axiom-preserving tau-endofunctors). Identity slippage is zero at every primorial-ladder stage. Proved via three independent blockings of diagonal-resonance components L/E/P (KAxiom 5, NF confluence, *-autonomous structure). Source: Hinge 8 (kernel-foundation) main.tex Thm 1.1 + section-06-ontic-identity Thm 6.1; cites Book I Thm I.T46.
Ontic Identity Invariance (Hinge 8)
Summary
In the tau-kernel, normalisation to canonical form is unique and path-independent (NF map Norm: Code -> Code^NF). No admissible construction introduces shadow identities. Ontic identity is invariant under admissible symmetries (kernel-axiom-preserving tau-endofunctors). Identity slippage is zero at every primorial-ladder stage. Proved via three independent blockings of diagonal-resonance components L/E/P (KAxiom 5, NF confluence, *-autonomous structure). Source: Hinge 8 (kernel-foundation) main.tex Thm 1.1 + section-06-ontic-identity Thm 6.1; cites Book I Thm I.T46.
Statement
No manuscript statement was extracted in this pilot run.
Proof / Justification
No immediate manuscript proof block was extracted in this pilot run.
Source Context
- Registry source:
book-01.jsonlline 262 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
planned - Module:
TauLib.BookI.KernelFoundation.OnticIdentity - Name:
None
Dependencies
- Canonical: I.T46, I.T37, I.T39, I.T54
Related Results
Generated by later projection phases.
Related Publications
Generated by later projection phases.
Revision Notes
- 2026-04-24: Initial pilot migration.
Identifiers
Aliases & legacy IDs
I.T60ontic-identity-invariance-hinge-8thm:main-ontic-identityRelease lines
corpus_v3_workingcorpus_v2Relations
Appears in (1)
Sources
Version & History
Status disclaimer
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