Skip to content

Knot Theory

Knot theory studies how loops and entanglements behave—mathematically. Surprisingly, it may have deep ties to quantum physics.

🪢 My Interpretation

I think of knots not as abstract puzzles, but as candidates for the universe’s architecture. What if particles are knotted field lines?

📘 What You'll Find

  • Topological Invariants: Numbers that classify how tangled a knot is.
  • Jones Polynomial: A way to algebraically describe knots.
  • Knots in QFT: Appear in loop quantum gravity and topological quantum field theories.
  • DNA, Vortices, and Field Lines: Real-world systems that behave like knotted structures.

What if the deepest truths of the universe are tied up in literal loops?