Construction fronts

Four instruments, one block

R, A, F, and σ/θ have named roles and named failure conditions. They remain distinct. Necessity claims of Theorems 1, 2, 4, and 5 can fail. No formulas. Volume 1 lock intact.

1. R

   Richness functional

   Rank 1Candidate 001 — role verified

   Long-horizon measure of distinguishable, consistent configurations still available for future processing.

   Domain: Stipulated K₀. Interior above both deaths.

   • O4 Ascent toward the attractorPass
   • O5 Descent toward the two deathsPass

   Verified ordinal filter on a stipulated domain. Not the finished R. Domain has not been enlarged.

   Refuses: Local or short-horizon optimisation; elimination of the unknown; collapse into either death.

2. A

   Area-measure

   Rank 2Candidate 001 — role-level bound

   Area-like bound on holographically admissible configurations. Restricts the domain of R; is not inside R.

   Domain: Stipulated Π₀ = {P_H, P_M}.

   • M1 Bound existsPass
   • M3 Partition sensitivityPass
   • M5 Distinction from RPass
   • M7 CompatibilityPass
   • M8 Role completeness on Π₀Pass

   Does not enlarge R’s domain. Role-stated, not constructed.

   Refuses: Treating Shannon bulk as the bound; exporting a stipulated toy as universal.

3. F

   Reflection map

   Rank 3Candidate 001 — role-level classifier

   Maps an agent’s objective through the others. Broken F is the signature of polarisation and low-trust equilibria.

   Domain: Stipulated Φ₀.

   • F1–F5 Classifier rolePass
   • F6 TargetingTargeting only
   • F8 Broken-closure signaturePass

   Ledger 006 (canonical F) remains open. Not the finished F.

   Refuses: Single-agent alignment (RLHF, constitutional AI) as a substitute for multi-agent reflection.

4. σ / θ

   Stabilizer intensity

   Rank 4Candidate 001 — role-level classifier

   Intensity σ of the consciousness stabilizer, with threshold θ at which reactive processing becomes interior self-modeling.

   Domain: Stipulated regimes Ψ₀.

   • S1 ComparabilityPass
   • S2 Fall toward deathsPass
   • S3 Two distinct polesPass
   • S4 Scoped necessityPass
   • S5 Reactive ≠ Th.5Pass
   • S7 Load scalingRule, not curve
   • S8 θ jointRole pass
   • S9 Phase-like capacityDistinction
   • S10 Bins on Ψ₀Pass; corpus not run

   S6 respected (no phenomenology). σ / θ are not finished.

   Refuses: Equating reactive intelligence with the stabilizer; treating σ as a consciousness meter.