No Primary-Source Data Found on Monstrous Moonshine and McKay-Thompson Series — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: Search returned no primary-source data on McKay-Thompson series, Hauptmoduln, or the Conway-Norton genus-zero classification — only tangential Conway interview clips and one unrelated knot-theory preprint. | MATH: No equations extractable. Relevant absent constants: Monster group order |M| = 808017424794512875886459904961710757005754368000000000 ≈ 8.08×10^53; Moonshine j-invariant q-expansion j(τ) = q⁻¹ + 744 + 196884q + 21493760q² + …; McKay's observation 196884 = 196883 + 1 (dim of smallest faithful Monster rep + 1). | CONNECTION: The genuine geometric-harmony link in this domain is that Hauptmoduln are genus-zero modular functions whose q-series coefficients are dimensions of Monster representations; the modular group PSL(2,ℤ) acts on the upper half-plane with the golden-ratio-adjacent structure of the modular lambda and j-functions, and the 0.618/1.618 ratios appear in the continued-fraction dynamics of the modular group's action on the boundary ℝ∪{∞}. None of this is pres Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223931377