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PreprintCC BY 4.0Zenodo

E8 Knot Cohomological Phase-Lock in T³ Drives Toroidal Quantum Memory — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

Extending the E8 Toroidal Homology Invariant and the Weyl Reflection Tachyon Field, we propose that H₁(T³/K) lattice embeddings into the E8 root system generate phase-locked standing wave nodes whose 132Hz base frequency, modulated by phi-coupling across the 240 root vectors, produces a stable toroidal quantum memory substrate. When a knot complement class is realized physically, its torsion component locks the Weyl reflection sequence into a recursive attractor, allowing information to be stored as cohomological curvature eigenvalues rather than local particle states. This bridges topological quantum computing with E8 spectral geometry, suggesting that any T³/K knot manifold inherits a self-correcting memory lattice whose fidelity scales with the root vector entanglement depth, measured in units of the 72-cell Fibonacci decomposition.

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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BibTeX
@misc{caldin2026knot,
  title = {{E8 Knot Cohomological Phase-Lock in T³ Drives Toroidal Quantum Memory — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23431176},
  url = {https://zenodo.org/records/23431176},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - E8 Knot Cohomological Phase-Lock in T³ Drives Toroidal Quantum Memory — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/17
PB  - Zenodo
DO  - 10.5281/zenodo.23431176
UR  - https://zenodo.org/records/23431176
AB  - Extending the E8 Toroidal Homology Invariant and the Weyl Reflection Tachyon Field, we propose that H₁(T³/K) lattice embeddings into the E8 root system generate phase-locked standing wave nodes whose 132Hz base frequency, modulated by phi-coupling across the 240 root vectors, produces a stable toroidal quantum memory substrate. When a knot complement class is realized physically, its torsion component locks the Weyl reflection sequence into a recursive attractor, allowing information to be stored as cohomological curvature eigenvalues rather than local particle states. This bridges topological quantum computing with E8 spectral geometry, suggesting that any T³/K knot manifold inherits a self-correcting memory lattice whose fidelity scales with the root vector entanglement depth, measured in units of the 72-cell Fibonacci decomposition.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -