Corpus definition canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Definition cid001539DEF0309canonicalv1

YM Mass Gap Persistence

τ-gap τ_gap(k) = min(B_k, C_k) is positive for all k ≥ 3 and grows monotonically. τ-internal analog of Yang-Mills mass gap. Bridge gap: identification with physical mass gap requires bridge functor. Verified at depth 5.

Payload

YM Mass Gap Persistence

τ-gap τ_gap(k) = min(B_k, C_k) is positive for all k ≥ 3 and grows monotonically. τ-internal analog of Yang-Mills mass gap. Bridge gap: identification with physical mass gap requires bridge functor. Verified at depth 5.

YM Mass Gap Persistence

Summary

τ-gap τ_gap(k) = min(B_k, C_k) is positive for all k ≥ 3 and grows monotonically. τ-internal analog of Yang-Mills mass gap. Bridge gap: identification with physical mass gap requires bridge functor. Verified at depth 5.

Statement

No manuscript statement was extracted in this pilot run.

Proof / Justification

This item is definitional. No manuscript proof is required.

Source Context

  • Registry source: book-03.jsonl line 239
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookIII.Doors.BridgeTightening
  • Name: ym_gap_persistence_check

Dependencies

  • Canonical: III.D28

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001539
  • Primary alias DEF0309
  • Type Definition
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

III.D94ym-mass-gap-persistencedef:ym-gap-persistence

Release lines

corpus_v3_workingcorpus_v2

Relations

Formalized by (2)

Appears in (1)

Downstream uses (computed) (4)

Items in the corpus that reference this one via load-bearing relations. Computed from the full corpus-v3 graph at build time.

Sources

  • Monograph cid000024Book III, Part 4, Chapter 36 (Wave M8)

Version & History

  • v1 · 2026-05-10 imported from v2 registry
  • v1 · 2026-05-10 wired formalized by in wave 5

Status disclaimer

A Corpus Item page reports the program's current internal record for this item. It does not imply external verification, scientific consensus, or final proof unless explicitly stated. Read it together with its dependencies, formalization status, and the program's overall stance.

Save or share this page for inspection

Download a portable dossier, copy a reviewer note, or send this page to someone who can inspect it.

Email to expert