Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ ZENODOarrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
ZENODO
Conference object
Data sources: ZENODO
addClaim

MONSTROUS MOONSHINE AND THE DEDEKIND ETA FUNCTION ARCHITECTURE

Authors: Aksman, Michael;

MONSTROUS MOONSHINE AND THE DEDEKIND ETA FUNCTION ARCHITECTURE

Abstract

This addendum establishes formal mathematical correspondences between the DSM-861 spectral manifold and structures appearing in Monstrous Moonshine and the Dedekind eta function.Three precise connections are identified. First, the geometric commensurability defect δ = N/G−12 = 861/72 − 12 = −1/24 is exactly the exponent in the eta function prefactor q 1/24, and theEuler-Maclaurin Casimir residue |ε| = B2/2! = 1/12 satisfies |ε| = 2|δ| (corrected from the originalequation which incorrectly stated |ε| = |δ|/2). Second, the June 2026 Dehn twist proof establishes that η(τ + 1) = exp(iπ/12)η(τ) is the modular identity that directly produces the −1/12 anomalous dimension in the Navier-Stokes regularity proof—so the Moonshine connection is not merely analogical but is the operative mathematical mechanism. Third, the specific Moonshine coefficient 196884 appears explicitly in the DSM-861 quality factor: ∆j = 196884exp(−π√163) = 7.4993 × 10−13. The coefficient 196884 is the first non-trivial coefficient of the j-function j(τ) =q−1 +744+196884q+..., which by McKay’s observation equals 196883+1, where 196883 is the dimension of the Monster group’s smallest faithful representation. This is the precise Monstrous Moonshine link for DSM-861: the j-function residue at the Heegner point τ∗ directly encodes a Monster representation dimension. The paper does not claim direct equivalence between DSM-861 and V♮ (which has c = 24 and Monster symmetry); DSM-861 has c = 1 and C72 symmetry. The correspondences are genuine and precise but operate at the level of shared modular structures, not group isomorphisms.

Powered by OpenAIRE graph
Found an issue? Give us feedback