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A Resonance-Codon Energy Ladder v1: A Unified Hypothesis with Sub-Resonance Structure

  • A Unified Resonance Model (URM) proposes a self-similar resonance sequence to explain fundamental energy scales from the Planck realm through quark confinement, atomic ionization, and beyond.
  • The Energy Ladder theorem under URM's hypothesis presents a unique solution for emergent energy scales, expressed as E(φ) = E_P exp(−αφ), where E_P is the Planck energy and α is determined by anchors like Λ(QCD) at φ=7.
  • Calibration using four anchors reveals α≈2.45, with a pure exponential fit yielding R^2≈0.7428 and a stretched exponent improving to R^2≈0.9105 with β≈0.89.
  • The URM introduces the concept of sub-resonance stickiness at a 1/28-scale, leading to slow awakenings and ±1/28 side-bands at energy shifts, inviting experimental validation to explore sliding, sticky emergence across scales.

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