{ "version": "3.0.0", "claims": [ { "id": "R1", "title": "Passive response nonaccumulation", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Established variational corollary reconstructed", "assumptions": "Real passive reciprocal modules; named ports; disjoint interiors; no hidden coupling", "verification": "Proof in 3.2; 300 correlated multiport checks", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "R2", "title": "Measured response plus final-seal certificate", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Restricted derived bound", "assumptions": "Operator measurement error; connected target minor; bounded remaining seal change", "verification": "Proof in 3.4; extreme-margin test", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "R3", "title": "Bounded positive reserve reachability", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Constructive restricted fabrication lemma; priority unverified", "assumptions": "Starting upper bound; adequate reserve; bounded positive increments; measurement radius; access", "verification": "Proof in 4.1; 300 bounded-noise cases in test", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "R4", "title": "Finite-horizon adaptive inspection confidence", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Standard concentration plus union bound reconstructed", "assumptions": "Fresh conditional sub-Gaussian noise; known finite inspection horizon; calibrated bias", "verification": "Proof in 4.2; parameters and every sample count recorded", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "R5", "title": "Postorder access preservation", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Standard dependency/termination corollary", "assumptions": "Acyclic rooted service graph; correct fresh ACKs; known child obligations", "verification": "Proof in 4.3; stochastic readiness and path test", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "R6", "title": "Response-certified developmental maturation", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Candidate integrated contribution; independent priority unverified", "assumptions": "R1-R5 plus capacity feasibility, valid shared-error budget, deterministic reachability or uniform conditional repair success", "verification": "Proof in 4.4; reduced simulation illustrates a special case, not molecular premises", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "R7", "title": "Recoverability liability of closure", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Imported user quadratic theory applied to fabrication", "assumptions": "Finite moments; fixed local safe actuator; normalized effort; decreased evidence/control in PSD order", "verification": "Proof in 5.2; 400 noncommuting checks", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "R8", "title": "Power-weighted deterministic response envelope", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Dirichlet/Thomson corollary reconstructed", "assumptions": "Same positive-conductance graph; one declared terminal experiment", "verification": "Proof in 6.1; 250 solved network cases", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "R9", "title": "Power-participation fault concentration", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Restricted derived concentration law; not universal phase transition", "assumptions": "Independent weakening; strictly positive surviving conductance ratio; favorable power participation", "verification": "Proof in 6.2; deterministic parent envelope checked", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "A", "title": "Developmental family compression and counting obstruction", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Established program/counting arguments restated", "assumptions": "Fixed generator and paid platform; finite physical resource-feasible backend", "verification": "Section 7.2 and original baseline proofs", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "E", "title": "Positional-information lower bound", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Fano inequality application", "assumptions": "Declared distinguishable regions and decision error", "verification": "Section 7.3", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "B/F", "title": "Finite basis for rational passive networks", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Elementary construction conditional on unbuilt active primitives", "assumptions": "Tape/state copying; routed insulated unit resistors; compatible physical range and repair operations", "verification": "Section 8.1; not a universal chemistry proof", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "D", "title": "Causal-volume and flux growth bounds", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Basic locality/conservation derivation", "assumptions": "Finite speed, density, and inlet flux", "verification": "Section 10.3", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "H1/H2", "title": "Reliability-access window and redundancy-access reversal", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Retained v1 derived model; priority unverified", "assumptions": "Slab reservoirs, kinetic error model, actual fault-tolerant functional contract", "verification": "Original full proofs and numerical results in baseline_v1", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "G1", "title": "Projective response composition and absolute-calibration no-go", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Established ingredients reconstructed; not a new projective metric", "assumptions": "Scale-invariant passive model; named ports and all relevant conductances included", "verification": "Variational and symmetry arguments in 6A.2; 200 four-port checks", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "G2", "title": "Exact reachable-scale interval and minimum material", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Candidate fabrication-specific combination of elementary interval and monotonicity reasoning; priority unverified", "assumptions": "Positive scalar responses; independently reachable continuous additive intervals; positive linear material costs", "verification": "Proof in 6A.3; 80 independent linear-program comparisons", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "G3", "title": "Finite-noise and finite-increment projective repair", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Restricted constructive derivation; independent priority unverified", "assumptions": "Log confidence, stable relative units, reserve interval, strictly positive bounded increments, access, bounded seal", "verification": "Proof in 6A.4; 500 bounded-adversarial endpoint-noise cases", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "G4", "title": "Exact reserve-controlled finite-size yield law", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Classical order-statistics derivation applied to the new reserve condition; not a universal physical transition", "assumptions": "G2 reachability; iid Uniform[l,u] initial ratios; common additive reserve; ideal measurements and actuation", "verification": "Integral proof in 6A.5; 100 quadratures; 25000 sampled arrays evaluated at 31 capacities", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "G5", "title": "Relative-metrology confidence and differential-bias no-go", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Established relative calibration/effective-resistance mathematics explicitly credited", "assumptions": "Fixed connected comparison graph; stable witness; fresh joint sub-Gaussian edge error proxy; numerical error budget", "verification": "6A.6-6A.7; covariance identity; 6000 draws; local solver; exact gradient-bias counterexample", "molecular_demonstration": false, "independent_peer_review": false }, { "id": "G6", "title": "Gauge-aware developmental maturation with one uncalibrated witness", "epistemic_status": "proved_under_stated_assumptions", "novelty": "Candidate integrated fabrication theorem; independent novelty and molecular realization unverified", "assumptions": "G1-G5 domain and resource conditions; declared quotient; retained comparison and material service; bounded shared failures", "verification": "Proof in 6A.8; 512 reduced-model runs; negative controls included", "molecular_demonstration": false, "independent_peer_review": false } ], "overall_scope": "Consolidated R1-R9 and G1-G6 passive developmental fabrication theory; no general nanofabricator, absolute self-calibration, or experimental molecular backend established." }