Datasets:
Formats:
json
Languages:
English
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1K - 10K
Tags:
matter-embryogenesis
developmental-fabrication
nanotechnology
self-assembly
materials-science
passive-networks
File size: 10,431 Bytes
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"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."
}
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