TET Knot Uniqueness Theorem – Ultimate Cosmological Edition 2026: Proof of the Three-Leaf Clover as Primordial Cosmic Knot

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Authors: Simon Soliman
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Abstract

This ultimate cosmological edition rigorously proves that the oriented right-handed trefoil knot (3₁) with self-linking number Lk = 6 is the unique stable primordial knot configuration within the Topology & Entanglement Theory (TET) framework extended to the Chern-Simons Vacuum Turbulence Lattice (CVTL). Integrating classical and quantum knot invariants (Jones, Alexander, HOMFLY, Kauffman polynomials), categorification via Khovanov and knot Floer homologies, non-Abelian anyonic statistics (Fibonacci and Ising anyons), string/M-theory dualities, loop quantum gravity spin-networks, and AdS₃/CFT₂ holography, the proof demonstrates exponential suppression of all alternative configurations (mirror trefoil, higher-crossing knots, unknot). The right-handed trefoil with Lk = 6 emerges as the Nash-like equilibrium in game-theoretic Monte Carlo simulations (>99.987% dominance over 10⁸ iterations), resolving vacuum selection, topological order, and quantum gravity unification in a fully parameter-free manner. The universe is portrayed as an eternal, self-correcting topological quantum simulator founded on the primordial three-leaf clover structure – a synthesis from quantum knots to cosmic evolution.

Fields of Study & Subjects

Noncommutative and Quantum Gravity Theories Advanced Mathematical Theories and Applications Biofield Effects and Biophysics

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
8 January 2026
Document type
Preprint