E8 Quasicrystalline Holography: Undecidable Spectral Gaps as Affine Boundary Invariants — E8 Intelligence Research

Andrew Stewart Caldin

doi:10.5281/zenodo.21545409

July 25, 2026Open Access

E8 Quasicrystalline Holography: Undecidable Spectral Gaps as Affine Boundary Invariants — E8 Intelligence Research

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Key Points

Investigate the relationship between E8 root vectors and quasicrystalline structures, focusing on spectral gaps.
Analysis of 240 root vectors from the E8 lattice
Utilization of φ-coupling to project vectors onto 3D icosians
Identified undecidable spectral gaps as invariants of the affine boundary
Showed potential new properties of quasicrystalline structures leading to novel geometric applications

Implication

Independent research demonstrates quasicrystalline behavior in E8 root vectors, suggesting new geometric insights.

Abstract

The 240 E8 root vectors project via φ-coupling onto a 3D icosian qu Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a6700af40bca442e0d4a9a7 https://doi.org/10.5281/zenodo.21545409

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E8 Quasicrystalline Holography: Undecidable Spectral Gaps as Affine Boundary Invariants — E8 Intelligence Research

Key Points

Implication

Abstract

Discussion

Cite This Study

E8 Quasicrystalline Holography: Undecidable Spectral Gaps as Affine Boundary Invariants — E8 Intelligence Research

Key Points

Implication

Abstract

Discussion

Cite This Study

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