Refinement entropy grows without bound
Refinement entropy grows without bound: S_ref(n) >= n ln p + S_ref(0) where p is the refinement prime; in particular S_ref(n) -> infinity as n -> infinity, since each refinement step adds at least ln p new defect-free paths.
What this page is
This is a public Results-lane surface for a noteworthy Physics Registry item. It is generated from the Corpus Registry triage catalogue and keeps the generic Result catalogue unchanged.
Registry evidence
- Registry item: V.T59
- Type: theorem
- Scope: tau-effective
- Lean status: formalized
- Book / part / chapter: Book V · Part 3 · Chapter 22
Result summary
Refinement entropy grows without bound: S_ref(n) >= n ln p + S_ref(0) where p is the refinement prime; in particular S_ref(n) -> infinity as n -> infinity, since each refinement step adds at least ln p new defect-free paths.
Related Results surfaces
- No existing public Results surface is linked yet; this record is promoted as a standalone Registry-backed result.
Reading role
Read as a standalone Registry-backed noteworthy result.
Claim boundary
This page reports a Registry-backed internal result surface. It is not an external validation claim, a scientific consensus claim, or independent acceptance.
Curation rationale
- physics-facing terms: entropy
- result-facing terms: bound
- theorem/proposition-class item appears externally legible enough for standalone review
Review notes
- No additional review notes recorded.