phi_prediction_nu
plain-language theorem explainer
Recognition Science supplies a φ-based prediction for the correlation-length critical exponent ν in the 3D Ising model. Workers comparing scaling predictions to numerical or experimental values would reference this constant. The definition directly sets the value to the reciprocal of the golden ratio imported from the forcing chain.
Claim. The Recognition Science prediction for the critical exponent ν is ν = 1/φ, where φ is the golden ratio.
background
The module derives universal critical exponents from φ-scaling near phase transitions. Quantities diverge as powers of the reduced temperature t: correlation length ξ ~ |t|^{-ν}. In Recognition Science, J-cost fluctuations impose φ-structured constraints on these exponents. The constant phi originates in the self-similar fixed point of the forcing chain.
proof idea
The declaration is a direct noncomputable definition that evaluates to the reciprocal of phi.
why it matters
This supplies the ν prediction within the set of φ-derived exponents for 3D Ising universality. It supports the paper proposition on universal critical exponents from golden ratio scaling. The value 1/φ ≈ 0.618 lies 2% from the accepted 0.630, consistent with the T6 phi fixed-point mechanism.
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