@prefix this: . @prefix sub: . @prefix np: . @prefix rdf: . @prefix prov: . @prefix npx: . @prefix dc: . @prefix xsd: . sub:Head { this: a np:Nanopublication; np:hasAssertion sub:assertion; np:hasProvenance sub:provenance; np:hasPublicationInfo sub:pubinfo . } sub:assertion { a ; dc: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."; "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."; "Claim test of wolfram2002-ch07-12: refutes, confidence 0.5"; ; prov:wasAttributedTo ; "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."; "claim-test/0.1.0"; "computational"; "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."; "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.", "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.", "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.", "This is a computation about two lattice rules. It says nothing about organisms."; "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."; "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."; "0.5"^^xsd:double; , ; "refutes"; "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."; "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."; "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."; "false"^^xsd:boolean . . a ; dc:description "the deterministic growth whose outline is compared with a circle"; dc:license ""; "Dataset: Moore outer-totalistic code 746 from a row of 7 black cells"; "sha256:13c697d2d794cfce9c2cb86fa3455acc6ad791ffcce3fcf2310bbaf8c98bc9b4" . a ; dc:description "anisotropic control with no microscopic randomness"; dc:license ""; "Dataset: Moore neighbor-filling growth from the same seed" . } sub:provenance { a prov:SoftwareAgent; "delphisci claim tester (Grok 4.7; cursor/claim-tests-wolfram-programs-b8d9)"; prov:actedOnBehalfOf ; . a ; dc:identifier "Grok 4.7" . sub:assertion prov:wasAttributedTo ; prov:wasDerivedFrom ; prov:wasGeneratedBy sub:test . sub:plan prov:hadPlan . sub:test a prov:Activity; prov:qualifiedAssociation sub:plan; prov:wasAssociatedWith . } sub:pubinfo { this: dc:created "2026-11-08T16:24:31.931Z"^^xsd:dateTime; dc:creator ; dc:license ; npx:hasNanopubType ; npx:introduces ; "Claim test of wolfram2002-ch07-12: refutes, confidence 0.5"; . sub:sig npx:hasAlgorithm "RSA"; npx:hasPublicKey "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAyFHtPB6p0mCjDozxlOY9CmO3nBm7Te3jFbXyLmM+G1tGe47Da0jYIbhkl9Oo1ZjxmCa3LCwlEqK8gj6hEIcL4ahW30JXh9HycfKVk1bugkzMEV15tJdTzAU3sGMFnbNsn43xY2LFLy45tApkRm5byEiM7oRRrooIdwoQKnP4Wzq/bfAoJ9qvW+MGkelyOTd1jbSt+KfmT7xKmDfWzAHddUlWwMX2QJOLxDaffOteTop6ZRgPiNmPJKA/S62Gac9XtSYT3oDkZ6/nr5cxxNLpOyxTf5FPISiCe11xYO/unYjY+mwnOfA8yhJIyx1l0O9I0vpOpn+E5TvyHJV+oSTrvwIDAQAB"; npx:hasSignature "hIzrR3rv2Xu45302L48G/xIn3Vd8uMjrjUi9G0qx5jXTl1gXHjkh0gne8wph0bzgJSahm6dpmETvjML0ag1Ps85Veit+ldKcMP43tiV65QNgLVNaJxXlVDTDlpx3x8vtEclwuF8IJtTlAjByebyhltOisTMm560r7zqMSpkFj4luztuyBbFGJHwk+cj5UMpG0acdSS864C7qLDWjGxu69L5DUmv7Ei5pMiLq9Gp8rEDkCS1NulJsQha/15Coj7Ig/T+cd8gsizw1/1UtehycJAOHVjfvDFfD76wqxL1JAHrsVpvv3LSmzuohIKwiTp8L0OUB1FKy5ND44ge59DR3UA=="; npx:hasSignatureTarget this:; npx:signedBy . }