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July 29, 2026Open Access

Chern-Simons Theory: Bridging 3D Gravity, Knot Invariants, and Modular Forms — E8 Intelligence Research

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Authors

ACAndrew Stewart Caldin

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Overview

This research reveals how Chern-Simons theory connects 3D gravity and knot invariants, suggesting deeper mathematical relationships.

Key Points

  • The aim is to explore the connections between Chern-Simons theory, 3D gravity, and properties of knot invariants and modular forms.
  • Analysis of Chern-Simons action and Wilson loops
  • Examination of partition functions related to knot polynomials
  • Investigation of modular invariance and its connections to root systems and quantum groups.
  • Chern-Simons theory unifies gauge theory and topology within a topological quantum field framework.
  • Knot polynomials such as the Jones polynomial are derived from the partition function.
  • The theory shows relationships between Wilson loops, Seifert surfaces, and symmetry in Lie algebras.

Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a69a2f1c8da07d9defa7096https://doi.org/10.5281/zenodo.21617308
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  1. 1Chern-Simons Theory Unifies 3D Gravity, Knot Invariants, and Fracton Phases — E8 Intelligence Research2026
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  3. 3Chern-Simons Theory: Topological Invariants, Knots, and 3D Gravity as Gauge Theory — E8 Intelligence Research2026
  4. 4Chern-Simons Theory Bridges 3D Gravity and Topological Quantum Field Theory — E8 Intelligence Research2026
  5. 5Chern-Simons Theory: Knot Invariants, 3D Gravity, and Fractional Quantum Hall States — E8 Intelligence Research2026