Coherence Cliff
Scaling Evidence for Sheaf Diagnostics
The reported regime change is limited to the disclosed protocol and baselines.
Abstract
Documents the regime change where conventional testing breaks down as composition size grows. Six convention dimensions grounded in real standards.
Evidence and record
Research question
How do the structural measures scale in the frozen experimental regime?
Result statement
The demonstrated finding is baseline collapse: depth-3 testing 0.28 → 0.04 and best conventional 0.83 → 0.52 as size grows 5 → 50. The sheaf line holds R² > 0.96 but is structurally favored (see status); cohomological invariants alone score near zero (dim H¹ 0.093, coherence fee 0.000).
Status
technical reportEmpirically demonstratedsupporting · v1 · as of 2026-07-22
Falsification
Reproduction failure on the frozen protocol or a cheap baseline matching the structural method.
External review
not requested