Onsager's Exact 2D Ising Exponents vs. Fibonacci Model's Golden Ratio Modification — E8 Intelligence Research

July 21, 2026Open Access

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Key Points

This research explores the exact critical exponents of the 2D Ising model and their deviations introduced by the Fibonacci model.
Analyzed Onsager's exact solution for the 2D Ising model and its critical exponents.
Investigated modifications to the exponents in the Fibonacci Ising model.
Established connections between the golden ratio and the correlation length exponent.
Exact critical exponents from Onsager's solution are α=0, β=1/8, γ=7/4, δ=15, ν=1, η=1/4.
In the Fibonacci Ising model, the correlation length exponent ν is modified to ν = 1 + (ln φ)/(ln λ).
No presence of certain golden ratio-based values in Onsager's exponents, unlike in Fibonacci modifications.

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Finding critical exponents in the 2D Ising model, highlighting deviations in the Fibonacci model's correlation length.

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Andrew Stewart Caldin (2026) studied this question.

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