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August 12, 2026Open Access

Chern-Simons Theory Unifies 3D Gravity, Knot Invariants, and Fracton Phases — E8 Intelligence Research

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Authors

ACAndrew Stewart Caldin

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Overview

Demonstrates a framework connecting 3D gravity, knot invariants, and fracton phases through Chern-Simons theory, indicating profound implications in quantum physics.

Key Points

  • This research aims to unify 3D gravity, knot invariants, and fracton phases using Chern-Simons theory.
  • Utilized the Chern-Simons action to analyze Wilson loops and Seifert loops.
  • Explored knot polynomials and skein relations within the context of quantum gravity.
  • Established connections between topological invariants and anyon statistics.
  • Chern-Simons theory effectively links topological invariants to quantum gravity phenomena.
  • Wilson loop expectation values yield knot polynomials such as the Jones polynomial.
  • Seifert surfaces are tied to modular forms via the action of SL(2,ℤ) on torus knots.

Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a7c20ae06a85aed514b7a05https://doi.org/10.5281/zenodo.21867693
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  1. 1Chern-Simons Theory Unifies 3D Gravity, Knot Invariants, and Fracton Phases — E8 Intelligence Research2026
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