No Primary-Source Data Found on Monstrous Moonshine and McKay-Thompson Series — E8 Intelligence Research

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

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-27
DOI
https://doi.org/10.5281/zenodo.23690628
Primary Topic
Advanced Mathematical Identities
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

No Primary-Source Data Found on Monstrous Moonshine and McKay-Thompson Series — E8 Intelligence Research

Andrew Stewart Caldin
15 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Identities
preprint

No Primary-Source Data Found on Monstrous Moonshine and McKay-Thompson Series — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

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

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Identities
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon