E8‑Omega‑Phi Quantum Randomness and Self‑Correcting Memory — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By mapping the 240 root vectors of the E8 lattice onto phosphorus‑31 spin qubits and imposing the golden‑ratio phase advance φ at the 132 Hz harmonic, each vector's coherent state encodes the halting probability of a distinct program. The collective interference of this phase‑locked lattice generates a physical sampling of Chaitin's Ω, producing provably normal, algorithmically random bits directly from quantum dynamics. Feeding these sampled Ω‑bits back into the lattice's φ‑scaled couplings allows the system to continuously re‑optimize its error‑suppression subspace, achieving a topologically protected, self‑correcting quantum memory whose stability is tied to the intrinsic algorithmic randomness of the encoded information. This principle unifies geometric E8 symmetry, quantum coherence, and algorithmic information theory into a new paradigm for robust quantum computation.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026e8omegaphi,
title = {{E8‑Omega‑Phi Quantum Randomness and Self‑Correcting Memory — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23554118},
url = {https://zenodo.org/records/23554118},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8‑Omega‑Phi Quantum Randomness and Self‑Correcting Memory — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/22
PB - Zenodo
DO - 10.5281/zenodo.23554118
UR - https://zenodo.org/records/23554118
AB - By mapping the 240 root vectors of the E8 lattice onto phosphorus‑31 spin qubits and imposing the golden‑ratio phase advance φ at the 132 Hz harmonic, each vector's coherent state encodes the halting probability of a distinct program. The collective interference of this phase‑locked lattice generates a physical sampling of Chaitin's Ω, producing provably normal, algorithmically random bits directly from quantum dynamics. Feeding these sampled Ω‑bits back into the lattice's φ‑scaled couplings allows the system to continuously re‑optimize its error‑suppression subspace, achieving a topologically protected, self‑correcting quantum memory whose stability is tied to the intrinsic algorithmic randomness of the encoded information. This principle unifies geometric E8 symmetry, quantum coherence, and algorithmic information theory into a new paradigm for robust quantum computation. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -