Wilder McKay Correspondences: Generalizing ADE Links Beyond Characteristic Zero — E8 Intelligence Research

FINDING: The search results are a scattered mix — quantum tomography rap songs, OCT imaging, and a wild McKay correspondence paper. The only mathematically substantive item is the arXiv paper on wilder McKay correspondences, which generalizes the classical McKay correspondence to arbitrary characteristic via stringy invariants. The rest are irrelevant to the query's core (E8, Hopf fibration, qubit tomography). MATH: The classical McKay correspondence links finite subgroups of SU(2) (ADE types) to affine Dynkin diagrams, with E8 arising from the binary icosahedral group. The wild generalization (arXiv:1404.3373) extends this to positive characteristic using stringy invariants — the key structure is the quotient stack [𝔸ⁿ/G] and its stringy cohomology, where the McKay quiver's Cartan matrix encodes the intersection form. No explicit new constants or ratios appear in the abstract; the core invariant is the Euler characteristic of the stringy motive, which for E8-type would involve the Co 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
2026-09-11
DOI
https://doi.org/10.5281/zenodo.22702012
Primary Topic
Quantum Computing Algorithms and Architecture
Type
preprint
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preprint

Wilder McKay Correspondences: Generalizing ADE Links Beyond Characteristic Zero — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
preprint

Wilder McKay Correspondences: Generalizing ADE Links Beyond Characteristic Zero — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: The search results are a scattered mix — quantum tomography rap songs, OCT imaging, and a wild McKay correspondence paper. The only mathematically substantive item is the arXiv paper on wilder McKay correspondences, which generalizes the classical McKay correspondence to arbitrary characteristic via stringy invariants. The rest are irrelevant to the query's core (E8, Hopf fibration, qubit tomography). MATH: The classical McKay correspondence links finite subgroups of SU(2) (ADE types) to affine Dynkin diagrams, with E8 arising from the binary icosahedral group. The wild generalization (arXiv:1404.3373) extends this to positive characteristic using stringy invariants — the key structure is the quotient stack [𝔸ⁿ/G] and its stringy cohomology, where the McKay quiver's Cartan matrix encodes the intersection form. No explicit new constants or ratios appear in the abstract; the core invariant is the Euler characteristic of the stringy motive, which for E8-type would involve the Co Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
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