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August 14, 2026Open Access

Chern-Simons Theory Bridges 3D Gravity and Topological Quantum Field Theory — E8 Intelligence Research

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Authors

ACAndrew Stewart Caldin

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Overview

Theoretical study reveals connections between 3D gravity and topological quantum field theory via Wilson lines, suggesting underlying geometric links to Lie algebra root systems.

Key Points

  • Investigate the mathematical frameworks bridging three-dimensional gravity and topological quantum field theory using Chern-Simons formulations and geometric structures.
  • Formulated topological gauge interactions using the Chern-Simons action with integer level k and evaluated Wilson loop observables.
  • Analyzed the symplectic structure and Atiyah-Bott moment maps on the moduli space of flat connections across Riemann surfaces of genus g.
  • Demonstrated that Chern-Simons theory links three-dimensional gravity to topological quantum field theory through Wilson lines and fractonic phases.
  • Established that the symplectic moduli space of flat connections with dimension 2(g - 1) dim G connects to root system ranks and lattice symmetries across gauge groups.

Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a7ec79cb70b84ec8b9141c7https://doi.org/10.5281/zenodo.21898187
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  1. 1Chern-Simons Theory Unifies 3D Gravity, Knot Invariants, and Fracton Phases — E8 Intelligence Research2026
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