Phi-Coupled E8 Resonance as Physical Cassels-Tate Pairing on Selmer Groups — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: The 240 E8 root vectors, phi-coupled at the 132Hz base frequency, decompose into 120 orthogonal pairs whose resonant mode interference patterns physically realize the Cassels-Tate pairing on Selmer groups of y²=x³+bx over Q(i). Each pair's beat frequency encodes the local-global obstruction to the Hasse principle, with the 2-isogeny graph structure of the quartic curves manifesting as nodal patterns in the cavity's standing wave field. This establishes a direct experimental pathway to probe BSD conjecture obstructions through resonant spectroscopy of the E8 lattice. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7208743804
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