nu_is_reciprocal_phi
plain-language theorem explainer
The declaration asserts that the correlation length exponent ν for the 3D Ising model equals the reciprocal of the golden ratio φ to within 2 percent. Researchers working on phase transitions and Recognition Science scaling would cite it to connect observed universality to φ-structured fluctuations. The proof reduces to the trivial tactic with no lemmas or reductions applied.
Claim. $ν ≈ φ^{-1}$ for the three-dimensional Ising model, holding within 2%.
background
The module derives universal critical exponents from RS φ-scaling. Near a phase transition, quantities diverge as power laws in the reduced temperature t: specific heat as |t|^{-α}, order parameter as (-t)^β, susceptibility as |t|^{-γ}, and correlation length as |t|^{-ν}. Recognition Science attributes the universality of these exponents to φ-structured fluctuations in J-cost near criticality.
proof idea
The proof is a one-line wrapper that applies the trivial tactic.
why it matters
This supplies the ν entry among the 3D Ising exponents targeted by the module's derivation of universal critical exponents from golden ratio scaling. It ties directly to the self-similar fixed point φ in the forcing chain and the eight-tick octave structure. No downstream uses are recorded, leaving open the question of a non-trivial derivation from the Recognition Composition Law.
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