https://w3id.org/np/RAYmZCFEq9ANd5rTXgXHDES86yRBO6FiJvfAHwKpEP0mQ/Head https://w3id.org/np/RAYmZCFEq9ANd5rTXgXHDES86yRBO6FiJvfAHwKpEP0mQ http://www.nanopub.org/nschema#hasAssertion https://w3id.org/np/RAYmZCFEq9ANd5rTXgXHDES86yRBO6FiJvfAHwKpEP0mQ/assertion https://w3id.org/np/RAYmZCFEq9ANd5rTXgXHDES86yRBO6FiJvfAHwKpEP0mQ http://www.nanopub.org/nschema#hasProvenance https://w3id.org/np/RAYmZCFEq9ANd5rTXgXHDES86yRBO6FiJvfAHwKpEP0mQ/provenance https://w3id.org/np/RAYmZCFEq9ANd5rTXgXHDES86yRBO6FiJvfAHwKpEP0mQ http://www.nanopub.org/nschema#hasPublicationInfo https://w3id.org/np/RAYmZCFEq9ANd5rTXgXHDES86yRBO6FiJvfAHwKpEP0mQ/pubinfo https://w3id.org/np/RAYmZCFEq9ANd5rTXgXHDES86yRBO6FiJvfAHwKpEP0mQ http://www.w3.org/1999/02/22-rdf-syntax-ns#type http://www.nanopub.org/nschema#Nanopublication https://w3id.org/np/RAYmZCFEq9ANd5rTXgXHDES86yRBO6FiJvfAHwKpEP0mQ/assertion https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--claim-test http://purl.org/dc/terms/description analysis.py evolved the pre-registered 4-cell block involution on a periodic line of width 160. Twenty-four microstates with the same density bump (center probability 0.75, outside 0.15, seed 20261102) were averaged in bins of 8. Conservation=True, randomness ratio=1.0000, variance slope=0.048559, R^2=0.9749, Gaussian correlation=0.8424, edge mean=0.1719. https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--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-ch09-08--claim-test http://www.w3.org/2000/01/rdf-schema#comment Measured: 0.8423984176263907 Pearson correlation of the step-90 mean density with a matched Gaussian (n = 24, exact for the locked rule, seed and bounds). Interpretation: Page 464 says smooth diffusion-like density appears when small-scale apparent randomness washes out cell-level detail and a conserved quantity keeps the overall mass from changing quickly. The figure rules are not transcribed, so the test uses the involution above, one density bump, and the locked bounds. Diffusion is linear growth of variance plus a Gaussian profile of the averaged density. Apparent randomness is compressibility comparable to a shuffle. A pass supports the mechanism for this rule; it does not identify the rule with Wolfram's figure (d). https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--claim-test http://www.w3.org/2000/01/rdf-schema#label Claim test of wolfram2002-ch09-08: mixed, confidence 0.5 https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--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-ch09-08/result.json https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--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-ch09-08--claim-test https://w3id.org/delphi/ontology/admissibleDatasets The single block rule written in pass_criterion, on the locked lattice and ensemble. No other rule is substituted after the run. https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--claim-test https://w3id.org/delphi/ontology/assessmentType claim-test/0.1.0 https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--claim-test https://w3id.org/delphi/ontology/dataKind computational https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--claim-test https://w3id.org/delphi/ontology/disconfirmingObservation The rule fails to conserve particles, the variance does not grow, or the averaged profile is far from Gaussian. https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--claim-test https://w3id.org/delphi/ontology/evidenceAgainst Particle number was conserved, the microstate compressed like a shuffle, and the variance of the mean density grew linearly (slope 0.049, R^2 0.975). The step-90 profile correlated 0.842 with a matched Gaussian, short of the locked 0.90. https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--claim-test https://w3id.org/delphi/ontology/evidenceAgainst The block tables drawn on NKS pages 461-463 are not printed as text. This is the one deterministic rule named in the pre-registration, not a reproduction of figure (d). https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--claim-test https://w3id.org/delphi/ontology/evidenceAgainst The result is about this rule on a width-160 lattice. It does not show that fluids or organisms obey the diffusion equation. https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--claim-test https://w3id.org/delphi/ontology/expectedObservation Particle number is constant, the microstate compresses to at least 75% of a shuffle, variance of the mean density grows linearly with R^2 >= 0.90 and positive slope, and the step-90 profile correlates at least 0.90 with a matched Gaussian, without wrapping. https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--claim-test https://w3id.org/delphi/ontology/failCriterion Pre-registered. Refutes if particle number changes in any run, or if the variance slope is <= 0, or if R^2 < 0.50, or if the Gaussian correlation is < 0.60. Mixed if conservation holds but at least one of the randomness, linearity, Gaussian or edge conditions fails without meeting the refute thresholds. Inconclusive with reason underpowered if condition (5) fails (the bump reached the boundary) and no refute condition was met. This is one deterministic rule, not the book's figure (d), and not a statement about organisms. https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--claim-test https://w3id.org/delphi/ontology/hasConfidence 0.5 https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--claim-test https://w3id.org/delphi/ontology/hasEvidence https://w3id.org/delphi/resource/evidence/wolfram2002-ch09-08--claim-test--dataset-1 https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--claim-test https://w3id.org/delphi/ontology/hasVerdict mixed https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--claim-test https://w3id.org/delphi/ontology/hypothesis The locked particle-conserving block rule, averaged over 24 microstates with the same initial density bump, keeps the particle count fixed, looks random at the cell scale, and has a coarse density whose variance grows linearly and whose profile matches a Gaussian. https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--claim-test https://w3id.org/delphi/ontology/inferenceMethod Require exact conservation, an lzma randomness ratio, an OLS fit of variance versus time, a Pearson correlation with a Gaussian, and an edge-bin wrap check. All five support conditions must hold. https://w3id.org/delphi/resource/assessment/wolfram2002-ch09-08--claim-test https://w3id.org/delphi/ontology/passCriterion Pre-registered. One rule, fully specified here because the block tables in the figures on pages 461-463 are not printed as text. Two colors, blocks of 4, even steps partitioned at offset 0 and odd steps at offset 2. The block map is the involution 1000<->0100, 0010<->0001, 1100<->1010, 0011<->0101, 1001<->0110, 1110<->1101, 0111<->1011, and 0000 and 1111 fixed. It preserves the number of 1s. Lattice width 160, periodic. Ensemble of 24 microstates from numpy Generator PCG64 seed 20261102: cells 56..103 are Bernoulli(0.75), all other cells Bernoulli(0.15), independent across runs. Evolve 100 steps. Coarse density uses 20 bins of width 8. 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