https://w3id.org/np/RAQ6Ngug2IpIbnZsksEBZ3jWzBJm71gerjfz2KJP_LRX8/Head https://w3id.org/np/RAQ6Ngug2IpIbnZsksEBZ3jWzBJm71gerjfz2KJP_LRX8 http://www.nanopub.org/nschema#hasAssertion https://w3id.org/np/RAQ6Ngug2IpIbnZsksEBZ3jWzBJm71gerjfz2KJP_LRX8/assertion https://w3id.org/np/RAQ6Ngug2IpIbnZsksEBZ3jWzBJm71gerjfz2KJP_LRX8 http://www.nanopub.org/nschema#hasProvenance https://w3id.org/np/RAQ6Ngug2IpIbnZsksEBZ3jWzBJm71gerjfz2KJP_LRX8/provenance https://w3id.org/np/RAQ6Ngug2IpIbnZsksEBZ3jWzBJm71gerjfz2KJP_LRX8 http://www.nanopub.org/nschema#hasPublicationInfo https://w3id.org/np/RAQ6Ngug2IpIbnZsksEBZ3jWzBJm71gerjfz2KJP_LRX8/pubinfo https://w3id.org/np/RAQ6Ngug2IpIbnZsksEBZ3jWzBJm71gerjfz2KJP_LRX8 http://www.w3.org/1999/02/22-rdf-syntax-ns#type http://www.nanopub.org/nschema#Nanopublication https://w3id.org/np/RAQ6Ngug2IpIbnZsksEBZ3jWzBJm71gerjfz2KJP_LRX8/assertion https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test http://purl.org/dc/terms/description analysis.py grows outer-totalistic code 746 from seven black cells on a 201 by 201 grid and measures the relative RMS of every black cell that touches a white Moore neighbor, at t = 40 and t = 100. The same seed under the neighbor-filling rule is measured at t = 40. A second run matched derived/measured.json byte for byte. https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test http://www.w3.org/1999/02/22-rdf-syntax-ns#type https://w3id.org/delphi/ontology/Assessment https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test http://www.w3.org/2000/01/rdf-schema#comment Measured: 0.35655997516662263 relative RMS of exposed-cell radii for code 746 at t = 100 (n = 2080, exact on this grid). Interpretation: The deterministic cellular automaton in the claim is the one Wolfram shows growing a rough circle: outer-totalistic code 746, from a row of seven black cells. 'Appear smooth at large scale' is a drop in the relative RMS of the outline from t = 40 to t = 100, down to at most 0.06. The square control is the same lattice with the randomness removed: any black neighbor turns a white cell black and black cells stay black, so the outline keeps the square symmetry of the Moore neighborhood. The test does not include a random walk or an aggregation model, which the sentence also names. It says nothing about organisms, including fluids made of molecules. https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test http://www.w3.org/2000/01/rdf-schema#label Claim test of wolfram2002-ch07-12: refutes, confidence 0.5 https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test http://www.w3.org/2000/01/rdf-schema#seeAlso https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/wolfram-nks/wolfram2002-ch07-12/result.json https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test http://www.w3.org/ns/prov#wasAttributedTo https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7 https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/admissibleDatasets Patterns generated by the checksummed script on a 201 by 201 grid from a row of 7 black cells. Code 746 through t = 100, and the neighbor-filling rule through t = 40. No organism record is admissible. https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/assessmentType claim-test/0.1.0 https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/dataKind computational https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/disconfirmingObservation With the square control still at relative RMS at least 0.09 and the patterns clear of the frame, the code-746 outline at t = 100 has relative RMS at least 0.12. https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/evidenceAgainst The boundary is every black cell with a white neighbor, so holes inside the pattern count. The mean radius at t = 100 is 24.65, with 2080 exposed cells. That is the interior as well as the outer edge. Wolfram's picture is about the outer outline; this statistic was not changed after the run. https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/evidenceAgainst The locked residual at t = 100 is 0.3566, above the refute line 0.12, and it is not smaller than the t = 40 value 0.3564. The square control is 0.1127, above its floor of 0.09. No black cell reached the outer frame. https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/evidenceAgainst The square is measured at t = 40 and the cellular automaton at t = 100, as locked, because the square grows faster. The sentence also names random walks and aggregation, which were not run. https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/evidenceAgainst This is a computation about two lattice rules. It says nothing about organisms. https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/expectedObservation At t = 100 the code-746 outline has relative radius RMS at most 0.06 and smaller than at t = 40, while the filled-square control at t = 40 has relative RMS at least 0.09. https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/failCriterion Pre-registered. Refutes if the control and the frame checks pass and the code-746 relative RMS at t = 100 is >= 0.12. Inconclusive if the control relative RMS is < 0.09, an outline has fewer than 20 cells, or black cells reach the outer frame. Mixed in every other case, including a late residual between 0.06 and 0.12 and a late residual that is not smaller than the early one. https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/hasConfidence 0.5 https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/hasEvidence https://w3id.org/delphi/resource/evidence/wolfram2002-ch07-12--claim-test--dataset-1 https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/hasEvidence https://w3id.org/delphi/resource/evidence/wolfram2002-ch07-12--claim-test--dataset-2 https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/hasVerdict refutes https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/hypothesis Outer-totalistic code 746, grown from a row of 7 black cells, has a smaller relative radius residual at t = 100 than at t = 40, and that residual is at most 0.06, while a neighbor-filling square grown from the same seed keeps a residual of at least 0.09. https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/inferenceMethod Relative RMS of the boundary radii. The circle must be at most 0.06, smoother than at t = 40, and the square must stay at least 0.09. A late residual of 0.12 or more refutes. The frame and the 20-cell minimum guard an outline that has not really formed. https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/passCriterion Pre-registered. Grid 201 by 201, center cell (100, 100), seed a horizontal run of 7 black cells. Code 746: Moore neighborhood, not counting the center; exactly 3 black neighbors turns the cell black; 1, 2 or 4 leaves it unchanged; 5 or more turns it white; 0 leaves it unchanged. The script rejects the run if code 746 does not decode to that table. Boundary cells are black cells with a white Moore neighbor. Relative RMS is the root-mean-square deviation of Euclidean radii about their mean, divided by the mean, with the centroid taken from the boundary cells. Supports if and only if the code-746 outline at t = 100 has relative RMS <= 0.06 and strictly below its value at t = 40, the square control at t = 40 has relative RMS >= 0.09, every outline has at least 20 cells, and no black cell lies in the outer two rows or columns. https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/ontology/preregistered false https://w3id.org/delphi/resource/claim/wolfram2002-ch07-12 https://w3id.org/delphi/ontology/hasAssessment https://w3id.org/delphi/resource/assessment/wolfram2002-ch07-12--claim-test https://w3id.org/delphi/resource/evidence/wolfram2002-ch07-12--claim-test--dataset-1 http://purl.org/dc/terms/description the deterministic growth whose outline is compared with a circle https://w3id.org/delphi/resource/evidence/wolfram2002-ch07-12--claim-test--dataset-1 http://purl.org/dc/terms/license https://w3id.org/delphi/resource/evidence/wolfram2002-ch07-12--claim-test--dataset-1 http://www.w3.org/1999/02/22-rdf-syntax-ns#type https://w3id.org/delphi/ontology/EvidenceItem https://w3id.org/delphi/resource/evidence/wolfram2002-ch07-12--claim-test--dataset-1 http://www.w3.org/2000/01/rdf-schema#label Dataset: Moore outer-totalistic code 746 from a row of 7 black cells https://w3id.org/delphi/resource/evidence/wolfram2002-ch07-12--claim-test--dataset-1 https://w3id.org/delphi/ontology/hasChecksum sha256:13c697d2d794cfce9c2cb86fa3455acc6ad791ffcce3fcf2310bbaf8c98bc9b4 https://w3id.org/delphi/resource/evidence/wolfram2002-ch07-12--claim-test--dataset-2 http://purl.org/dc/terms/description anisotropic control with no microscopic randomness https://w3id.org/delphi/resource/evidence/wolfram2002-ch07-12--claim-test--dataset-2 http://purl.org/dc/terms/license https://w3id.org/delphi/resource/evidence/wolfram2002-ch07-12--claim-test--dataset-2 http://www.w3.org/1999/02/22-rdf-syntax-ns#type https://w3id.org/delphi/ontology/EvidenceItem https://w3id.org/delphi/resource/evidence/wolfram2002-ch07-12--claim-test--dataset-2 http://www.w3.org/2000/01/rdf-schema#label Dataset: Moore neighbor-filling growth from the same seed https://w3id.org/np/RAQ6Ngug2IpIbnZsksEBZ3jWzBJm71gerjfz2KJP_LRX8/provenance https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7 http://www.w3.org/1999/02/22-rdf-syntax-ns#type http://www.w3.org/ns/prov#SoftwareAgent https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7 http://www.w3.org/2000/01/rdf-schema#label delphisci claim tester (Grok 4.7; 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