https://w3id.org/np/RAIAPewfufknMfrtPh_kwYD1bawWTGfc0ZIc0qHyb5OVI/Head https://w3id.org/np/RAIAPewfufknMfrtPh_kwYD1bawWTGfc0ZIc0qHyb5OVI http://www.nanopub.org/nschema#hasAssertion https://w3id.org/np/RAIAPewfufknMfrtPh_kwYD1bawWTGfc0ZIc0qHyb5OVI/assertion https://w3id.org/np/RAIAPewfufknMfrtPh_kwYD1bawWTGfc0ZIc0qHyb5OVI http://www.nanopub.org/nschema#hasProvenance https://w3id.org/np/RAIAPewfufknMfrtPh_kwYD1bawWTGfc0ZIc0qHyb5OVI/provenance https://w3id.org/np/RAIAPewfufknMfrtPh_kwYD1bawWTGfc0ZIc0qHyb5OVI http://www.nanopub.org/nschema#hasPublicationInfo https://w3id.org/np/RAIAPewfufknMfrtPh_kwYD1bawWTGfc0ZIc0qHyb5OVI/pubinfo https://w3id.org/np/RAIAPewfufknMfrtPh_kwYD1bawWTGfc0ZIc0qHyb5OVI http://www.w3.org/1999/02/22-rdf-syntax-ns#type http://www.nanopub.org/nschema#Nanopublication https://w3id.org/np/RAIAPewfufknMfrtPh_kwYD1bawWTGfc0ZIc0qHyb5OVI/assertion https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test http://purl.org/dc/terms/description analysis.py iterates the fractional-part map with exact rationals, thresholds at 1/2, and computes overlapping 8-bit block entropy of the 81 by 161 space-time. The same entropy is computed for rule 30, rule 4 and plain averaging. Localized components are counted only for the continuous map. https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--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-ch04-22--claim-test http://www.w3.org/2000/01/rdf-schema#comment Measured: 3.550214 bits, overlapping 8-bit block entropy of the thresholded continuous space-time (n = 13041, plugin estimator on 13034 overlapping windows). Interpretation: The page says the new gray level is the fractional part of the average of the cell and its neighbors multiplied by 3/2, started from a single black cell, and that the operation on the average is the iterated map from page 150. That is frac((left+center+right)/2). 'The same kind of complexity as discrete cellular automata' is H8 within a factor 0.75 of rule 30 and above 4.5, with rule 4 and diffusion as simple controls. Localized structures are the small persistent components defined above. https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test http://www.w3.org/2000/01/rdf-schema#label Claim test of wolfram2002-ch04-22: mixed, confidence 0.64 https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--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-ch04-22/result.json https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--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-ch04-22--claim-test https://w3id.org/delphi/ontology/admissibleDatasets Only this map, this width, this step count and this seed. Not a survey of gray-level rules. Not evidence about organisms. https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test https://w3id.org/delphi/ontology/assessmentType claim-test/0.1.0 https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test https://w3id.org/delphi/ontology/dataKind computational https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test https://w3id.org/delphi/ontology/disconfirmingObservation Thresholded H8 is below 2.5 while rule 30 is at least 4.5 and the simple controls stay simple. https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test https://w3id.org/delphi/ontology/evidenceAgainst No 4-connected component fell in the locked box (size 10..100, width at most 8, duration at least 8). The thresholded pattern has 2441 ones out of 13041 cells, so it is not blank; the components are just not inside that box. https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test https://w3id.org/delphi/ontology/evidenceAgainst One map, width 161, 80 steps, one seed. Thresholded H8 is 3.550214, above the simple controls (diffusion 0.009276, rule 4 0.434338) and below both support bars (4.5, and 0.75 times rule 30's 5.233764, ratio 0.678329). https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test https://w3id.org/delphi/ontology/evidenceAgainst The threshold at 1/2 throws away the gray levels. A different threshold could move both the entropy and the component count. This says nothing about organisms. https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test https://w3id.org/delphi/ontology/expectedObservation Thresholded H8 is at least 4.5 and at least 0.75 times rule 30, at least one component falls in the locked box, diffusion H8 is at most 2, and rule 4 H8 is at most 2.5. https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test https://w3id.org/delphi/ontology/failCriterion Pre-registered. If the controls pass and the continuous H8 is below 2.5, the verdict is refutes: this map is not complex on the locked statistic. If the controls pass and the map is complex by the entropy bars but has no localized component, or the entropy is between 2.5 and the support bar, the verdict is mixed. If a control misses its bound, the verdict is inconclusive. One map, one grid, one statistic. This says nothing about organisms. https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test https://w3id.org/delphi/ontology/hasConfidence 0.64 https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test https://w3id.org/delphi/ontology/hasEvidence https://w3id.org/delphi/resource/evidence/wolfram2002-ch04-22--claim-test--dataset-1 https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test https://w3id.org/delphi/ontology/hasVerdict mixed https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test https://w3id.org/delphi/ontology/hypothesis The page-157 gray-level map, frac((left+center+right)/2), on a width-161 grid for 80 steps from a single black cell, has thresholded block entropy at least three quarters of rule 30's and at least one localized component, while averaging and rule 4 stay simple. https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test https://w3id.org/delphi/ontology/inferenceMethod Overlapping 8-bit block entropy of the thresholded space-time, a ratio against rule 30, and a count of 4-connected components inside the locked box. https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test https://w3id.org/delphi/ontology/passCriterion Pre-registered. One map: the new value is the fractional part of (left + center + right) / 2, which is (3/2) times the average of the cell and its neighbors. Width 161, 80 steps, open boundary (cells outside the grid are 0), center cell started at 1 and the rest at 0. Exact rational arithmetic. Threshold: a cell is 1 if its value is at least 1/2. H8 is the Shannon entropy of overlapping 8-bit blocks of the thresholded rows concatenated. Supports if H8 is at least 4.5 and at least 0.75 times H8 of elementary rule 30 on the same grid and seed, and there is at least one 4-connected component of thresholded 1s with size 10..100, bounding width at most 8 and duration at least 8. The controls must pass: plain averaging (left+center+right)/3 has H8 at most 2.0, rule 4 has H8 at most 2.5, and rule 30 has H8 at least 4.5. https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test https://w3id.org/delphi/ontology/preregistered false https://w3id.org/delphi/resource/claim/wolfram2002-ch04-22 https://w3id.org/delphi/ontology/hasAssessment https://w3id.org/delphi/resource/assessment/wolfram2002-ch04-22--claim-test https://w3id.org/delphi/resource/evidence/wolfram2002-ch04-22--claim-test--dataset-1 http://purl.org/dc/terms/description the one locked map, with rule 30, rule 4 and averaging as references https://w3id.org/delphi/resource/evidence/wolfram2002-ch04-22--claim-test--dataset-1 http://purl.org/dc/terms/license generated data https://w3id.org/delphi/resource/evidence/wolfram2002-ch04-22--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-ch04-22--claim-test--dataset-1 http://www.w3.org/2000/01/rdf-schema#label Dataset: Continuous map frac((left+center+right)/2) and the discrete references https://w3id.org/delphi/resource/evidence/wolfram2002-ch04-22--claim-test--dataset-1 http://www.w3.org/ns/prov#wasDerivedFrom https://www.wolframscience.com/nks/p157--continuous-cellular-automata/ https://w3id.org/np/RAIAPewfufknMfrtPh_kwYD1bawWTGfc0ZIc0qHyb5OVI/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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