nu_0_ising
plain-language theorem explainer
The declaration defines the leading-order critical exponent ν₀ for the Ising universality class as the reciprocal of the golden ratio. Researchers mapping O(N) symmetry groups to Q₃ automorphism structures in three dimensions would cite this value when anchoring bootstrap calculations. The definition is a direct one-line assignment that pulls the phi constant from the foundation without further reduction.
Claim. The leading-order Ising critical exponent satisfies $ν_0 = φ^{-1}$, where $φ$ is the golden ratio fixed point of the Recognition Science forcing chain.
background
The module maps O(N) universality classes to subgroups of Aut(Q₃), the automorphism group of the three-dimensional cube. This supplies leading-order critical exponents for D = 3 via the cube geometry, with reference targets listed for Ising (ν ≈ 0.62997), XY, Heisenberg, and spherical cases. Upstream structures calibrate the underlying phi-ladder: PhiForcingDerived.of supplies the J-cost structure, while RSCoupledAxis.independent enforces pairwise independence of axes carried by distinct primitives.
proof idea
This is a one-line definition that directly assigns 1/phi, where phi enters from the imported Constants module via the foundation.
why it matters
The definition supplies the Ising ν₀ anchor for the bootstrap reference values in the module documentation. It fills the O(1) slot in the Aut(Q₃) subgroup mapping and aligns with the T6 forcing step that produces phi as the self-similar fixed point. The module uses this to connect symmetry rank to the eight-tick octave and D = 3 geometry.
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