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allaun
a0d95049c6
35 test cases across 7 scales (small through quintillion) and 5 sizes. Result: 1/35 significant at p<0.05 (0/35 after Bonferroni). Null hypothesis not rejected. Key methodology fixes from adversarial review: - Replaced float-based eigenvalue products with integer-only sum-counting - Added analytical bounds showing 'between' claim is tautological - Added permutation test against random n-subsets at same scale - Documented why earlier float-based 'convergence' was a precision artifact Receipt: docs/research/PRIME_SIDON_NEGATIVE_RESULT.md DAG: .openresearch/artifacts/prime_sidon_dag.json (51 nodes, 35 edges) Script: scripts/prime_sidon_explore.py Build: N/A (Python script, no Lean build)
117 lines
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2.5 KiB
JSON
117 lines
No EOL
2.5 KiB
JSON
{
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"schema": "prime_sidon_explore_v2",
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"claim_boundary": "prime-sidon-vs-random-null:permutation-test",
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"config": {
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"sizes": [
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5,
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6,
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7,
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8,
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10
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],
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"scales": [
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"small",
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"kilo",
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"million",
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"billion",
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"trillion",
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"quadrillion",
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"quintillion"
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],
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"null_trials": 1000
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},
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"analysis": [
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{
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"size": 5,
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"n_significant": 0,
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"n_total": 7,
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"all_significant": false,
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"negative_effects": 2,
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"positive_effects": 5,
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"score_trend_increasing": false,
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"scores_by_scale": {
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"small": 0.52,
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"kilo": 0.56,
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"million": 0.6,
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"billion": 0.56,
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"trillion": 0.56,
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"quadrillion": 0.6,
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"quintillion": 0.6
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}
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},
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{
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"size": 6,
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"n_significant": 0,
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"n_total": 7,
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"all_significant": false,
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"negative_effects": 5,
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"positive_effects": 2,
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"score_trend_increasing": false,
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"scores_by_scale": {
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"small": 0.472222,
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"kilo": 0.5,
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"million": 0.583333,
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"billion": 0.555556,
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"trillion": 0.555556,
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"quadrillion": 0.555556,
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"quintillion": 0.555556
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}
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},
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{
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"size": 7,
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"n_significant": 0,
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"n_total": 7,
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"all_significant": false,
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"negative_effects": 5,
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"positive_effects": 2,
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"score_trend_increasing": true,
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"scores_by_scale": {
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"small": 0.428571,
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"kilo": 0.489796,
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"million": 0.530612,
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"billion": 0.55102,
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"trillion": 0.55102,
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"quadrillion": 0.55102,
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"quintillion": 0.55102
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}
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},
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{
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"size": 8,
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"n_significant": 0,
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"n_total": 7,
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"all_significant": false,
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"negative_effects": 4,
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"positive_effects": 3,
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"score_trend_increasing": false,
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"scores_by_scale": {
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"small": 0.390625,
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"kilo": 0.453125,
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"million": 0.515625,
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"billion": 0.53125,
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"trillion": 0.546875,
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"quadrillion": 0.515625,
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"quintillion": 0.546875
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}
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},
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{
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"size": 10,
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"n_significant": 1,
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"n_total": 7,
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"all_significant": false,
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"negative_effects": 7,
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"positive_effects": 0,
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"score_trend_increasing": false,
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"scores_by_scale": {
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"small": 0.33,
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"kilo": 0.39,
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"million": 0.48,
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"billion": 0.51,
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"trillion": 0.51,
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"quadrillion": 0.52,
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"quintillion": 0.49
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}
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}
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],
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"total_test_cases": 35,
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"total_significant": 1
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} |