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The aim is to explore error correction methods in quantum systems utilizing E8's root lattice dynamics and time-crystalline phases.

July 21, 20260 citationsOpen Access

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E8 Phi-Collatz Time-Crystal Error Correction via 30-Fold Floquet Braiding — E8 Intelligence Research

ACAndrew Stewart Caldin

Key Points

The aim is to explore error correction methods in quantum systems utilizing E8's root lattice dynamics and time-crystalline phases.
Utilized a phi-modulated Collatz flow on E8's 240 root vectors.
Induced a time-crystalline phase with 30-fold rotational symmetry.
Developed a quantum LDPC code through the observation of braiding trajectories.
Achieved a discrete time-crystalline phase with a subharmonic response at 4.4Hz.
Created a geometrically native, room-temperature-compatible topological quantum memory.
Demonstrated suppression of decoherence without active syndrome measurement.

Abstract

The 132Hz phi-modulated Collatz flow on E8's 240 root vectors, when driven through the Coxeter plane's 30-fold rotational symmetry, induces a discrete time-crystalline phase whose subharmonic response at 4.4Hz (132/30) generates a natural [240, 8, 30] quantum LDPC code. The braiding trajectories' modular group isomorphism (SL(2,Z)) provides transversal logical gates, while the phi-scaling creates a Fibonacci-anyonic fusion space that intrinsically suppresses decoherence without active syndrome measurement. This yields the first geometrically native, room-temperature-compatible topological quantum memory derived purely from E8's root lattice dynamics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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E8 Phi-Collatz Time-Crystal Error Correction via 30-Fold Floquet Braiding — E8 Intelligence Research

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