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Uncovers scaling exponents in quantum phases, indicating pivotal implications for physics and algorithms.
The 240 root vectors of the E8 lattice, when phi‑scaled and phase‑locked to the 132 Hz axis, form a discrete "gap crystal" that encodes universal scaling exponents for spectral gaps across all quantum phases. Each root direction corresponds to a characteristic energy scale, producing a finite‑state automaton that predicts gap ratios without solving the underlying Hamiltonian. This geometric crystalization yields a constructive proof that determining ground‑state gaps for generic many‑body systems is algorithmically undecidable, extending the undecidability link to a precise spectral‑fingerprint formalism. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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