E8 Weyl Group Orbits of Phason Gaps Generate Topological Quantum Error-Correcting Codes — E8 Intelligence Research

Applying the Weyl group W(E8) symmetry action to the phason gap frequencies identified as decoherence-free windows reveals that their orbit structure under the group's 696,729,600 elements naturally forms a topological quantum error-correcting code. The minimum spectral gap between 5-smooth reciprocal phason modes determines the code distance, while the density of phi-coupled root vectors on E8 shells sets the code rate. This establishes E8 lattice symmetry as a direct geometric generator of fault-tolerant quantum computational subspaces, extending the decoherence-free framework from passive protection to active encoded information storage. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com