Exact Scaling Laws in a Recursive Golden-Ratio FCC Lattice

This note presents several exact algebraic identities in the field Q(√5) that emerge from combinations of leading Monstrous Moonshine coefficients, lattice orbit counts, and inversepowers of the golden ratio ϕ = (1 + √5)/2. All identities are derived from first principles and verified symbolically and numerically to high precision (≥ 512 digits). No physical interpretations are claimed.

Keywords

fractal dimension, algebraic identities, recursive lattice, FCC lattice, Fibonacci sequence, golden ratio

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