E8 Exceptional Geometry, Mixed Tate Motives, and p-adic Defect Realization: A Unified Framework via the UMIN Coherence Theorem
Abstract
We develop a unified framework connecting threestructures: E8 cluster geometry, mixed Tate motives,and p-adic additive defects. The central result isthat a natural associativity defect is a coboundary[defect] = 0 in H2, realized in three independentsettings. Parts II and III are formalized inCubical Agda (--safe --cubical --guardedness).
Fields of Study & Subjects
Algebraic Geometry and Number Theory
advanced mathematical theories
Advanced Algebra and Geometry
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 20 March 2026
- Document type
- Preprint