MORP-01: Non-Tautological Extraction, Minimal Invisible Profiles, Kernel Saturation, and Transition Rigidity

Non-Tautological Extraction, Minimal Invisible Profiles, Kernel Saturation, and Transition Rigidity

Continuing from the four theorem obligations left by FCBP Cycle VI (XTR, UNI, RIG, SIGN), the core lesson is that "continuing to keep the ledger" is no longer the primary task — the remaining obstruction must be compressed into a formal normal form. MORP poses this round's core question: if the critical coercivity-gap proof fails, can a minimal nonzero, Navier–Stokes-realizable obstruction be extracted, and does minimality force that obstruction into a rigid transition/kernel class? It defines native normalized obstruction slices (not copying dangerous certificates directly into detector coordinates), and proves an abstract compactness–rigidity dichotomy theorem: if the normalized slice is nonempty and sequentially compact under the declared symmetries, using a lower-semicontinuous nonnegative extended obstruction cost, then either the cost has a positive coercivity gap, or a nonzero native isolated minimal invisible profile exists that saturates the kernel of every already-incorporated observation/mechanism/tax channel. It also proves a transition rigidity theorem and several NO-GOs (an infimum does not automatically produce a minimizer without compactness; profile/quotient minimality does not imply realization by an actual original solution).