SU(2)_3 Chern-Simons Theory Links to H2 Root System via Quantum Invariants — E8 Intelligence Research

July 24, 2026Open Access

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Key Points

Explore the relationship between SU(2)_3 Chern-Simons theory and the H2 root system through quantum invariants.
Analyzed connections between SU(2)_3 Chern-Simons and H2 using quantum knot invariants.
Utilized mathematical properties of knot polynomials and WRT invariants.
Investigated fusion rules and braiding matrices of Fibonacci anyons in relation to quantum dimensions.
Demonstrated a direct link between non-crystallographic H2 and quantum topology.
Found that fusion rules yield a quantum dimension equal to the golden ratio (d = φ).
Provided evidence of H2-related values in WRT invariants at level 3 for lens spaces depending on φ.

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Finding links SU(2)_3 Chern-Simons theory and H2 root system via quantum invariants, suggesting new insights in quantum computing.

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Andrew Stewart Caldin (2026) studied this question.

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