{
  "schema_version": "fractalish.research-release.v1",
  "id": "RR-2026-09-13-NM-SCALE",
  "title": "Natural Math: Fixed Local Rules Become More Reliable Under Proportional Scale",
  "date": "2026-09-13",
  "project": "Natural Math",
  "status": "EXPERIMENTAL_RESULT",
  "evidence_class": "EARNED_WITH_TESTED_SCOPE",
  "source_precedence": [
    "raw/executable receipt",
    "frozen specification/preregistration",
    "experiment report",
    "handoff",
    "interpretation"
  ],
  "claims": [
    "Frozen local rules survived proportional x1, x2, and x3 scaling under the preregistered scale-test gates.",
    "Sustained late work and contributor-independent reuse survived at all three tested scales.",
    "Transported-substrate reuse occurred in 44/64 seeds at x1 and 64/64 at x2 and x3.",
    "Conservation, provenance, exact replay, formation-contract, and nonnegative-state checks passed.",
    "Normalized work per agent-tick declined from about 0.01324 at x1 to 0.00970 at x2 and 0.00867 at x3."
  ],
  "limitations": [
    "Only scale factors x1, x2, and x3 were tested.",
    "World size, population, horizon, lifetime, and input schedule scaled together, so this release does not isolate which scaling dimension caused the reliability change.",
    "The result belongs to this deterministic integer-discrete mechanism and its declared conditions.",
    "The local-condition audits identify necessary and diagnostic conditions, not a complete causal decomposition of every failed seed."
  ],
  "failed_gates_preserved": true,
  "source_files": [
    {
      "label": "Complete source package",
      "file": "NATURAL_MATH_SCALE_HANDOFF_FOR_JIM_2026-09-13.zip",
      "role": "original_package"
    },
    {
      "label": "Handoff for Jim",
      "file": "HANDOFF_FOR_JIM.md",
      "role": "handoff"
    },
    {
      "label": "Carry correction evidence",
      "file": "NATURAL_MATH_MOVING_CYCLE_CARRY_CORRECTION_2026-09-13.zip",
      "role": "executable_receipts"
    },
    {
      "label": "Carry stability and local-condition audit",
      "file": "NATURAL_MATH_CARRY_STABILITY_LOCAL_CONDITION_AUDIT_2026-09-13.zip",
      "role": "audit_receipts"
    },
    {
      "label": "Proportional scale test",
      "file": "NATURAL_MATH_CARRY_SCALE_TEST_2026-09-13.zip",
      "role": "preregistered_experiment"
    },
    {
      "label": "Formed-movement causal audit",
      "file": "NATURAL_MATH_FORMED_MOVEMENT_CAUSAL_AUDIT_2026-09-13.zip",
      "role": "diagnostic_receipts"
    },
    {
      "label": "Tick-order energy audit",
      "file": "NATURAL_MATH_TICK_ORDER_ENERGY_AUDIT_2026-09-13.zip",
      "role": "accepted_instrumentation"
    },
    {
      "label": "Source package README",
      "file": "README.md",
      "role": "source_orientation"
    },
    {
      "label": "Original package checksum manifest",
      "file": "SHA256_MANIFEST.txt",
      "role": "source_manifest"
    }
  ],
  "sha256": {
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  "supersedes": [],
  "superseded_by": null,
  "canonical_relation": "This is a Natural Math mechanism-level experimental branch. It does not replace the Natural Math v5 frozen integer baseline and does not rewrite earlier Natural Math as Consequential Formation."
}