DEF0233canonicalv1Coupling Ledger
The No Knobs Ledger: systematic inventory of all inter-sector couplings. 10 entries (4 self-couplings + 6 cross-couplings). Each entry κ(S_i, S_j) = f_{ij}(ι_τ, M_d) is a specific rational function of ι_τ evaluated at a specific primorial depth.
Payload
Coupling Ledger
The No Knobs Ledger: systematic inventory of all inter-sector couplings. 10 entries (4 self-couplings + 6 cross-couplings). Each entry κ(S_i, S_j) = f_{ij}(ι_τ, M_d) is a specific rational function of ι_τ evaluated at a specific primorial depth.
Coupling Ledger
Summary
The No Knobs Ledger: systematic inventory of all inter-sector couplings. 10 entries (4 self-couplings + 6 cross-couplings). Each entry κ(S_i, S_j) = f_{ij}(ι_τ, M_d) is a specific rational function of ι_τ evaluated at a specific primorial depth.
Statement
%
\label{def:coupling-ledger}
The \textbf{No Knobs Ledger}
is the complete catalog
of the $10$ sector coupling functions.
We organise them in a symmetric table,
indexed by the ABCD sector labels
from Chapter~\ref{ch:four-plus-one-decomposition}.
Proof / Justification
This item is definitional. No manuscript proof is required.
Source Context
- Registry source:
book-03.jsonlline 36 - Manuscript source:
2nd-edition/book-iii-categorical-spectrum/02_mainmatter/part02/ch13-the-no-knobs-principle.texlines 193-202
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookIII.Sectors.ParityBridge - Name:
coupling_ledger
Dependencies
- Canonical: III.D13, III.T08
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
III.D18coupling-ledgerdef:coupling-ledgerRelease lines
corpus_v3_workingcorpus_v2Relations
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
Version & History
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.