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divisor-function

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Validated curvature signal for integer structural classification. κ(n) = d(n)·ln(n)/e² separates primes from composites at 3.05× ratio with 88.2% hold-out accuracy. Core signal layer of the Z Framework. Includes CDL API, adaptive threshold protocol, Z-normalization, and falsification experiments. Active research: v-inference.

  • Updated Apr 6, 2026
  • Python

Investigates deterministic prime-gap interiors using the Divisor Normalization Identity (DNI). Establishes the Gap Winner Rule (GWR) the raw-Z maximizer is always the leftmost min-d(n) carrier. Validates the No-Later-Simpler-Composite Theorem with zero violations through 10^18. Documents hierarchical first-arrival laws and square-phase terminal.

  • Updated Apr 7, 2026
  • Python

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