What question did this study set out to answer?

This research aims to explore the condensation of Fibonacci anyons using Majorana zero modes in an E8 framework.

July 21, 20260 citationsOpen Access

E8 Fibonacci Anyon Condensation — 42 Majorana Modes at φ¹¹ Modular Point — E8 Intelligence Research

Key Points

This research aims to explore the condensation of Fibonacci anyons using Majorana zero modes in an E8 framework.
Utilized Coxeter orbits of E8 roots to analyze Fibonacci anyon condensation at the Jones-Wenzl projector.
Defined a modular parameter influencing a braid group representation at level 13.
Developed a cyclic code transforming into a non-Abelian topological code for logical operations.
Confirmed the presence of 42 Majorana modes associated with Fibonacci anyon condensation; observed inter-orbit entanglement patterns.
Established the realization of a 240-root anyon model compatible with E8₁ conformal field theory.
Demonstrated universal logical gates through topological structures at defined frequencies.

Abstract

The two 21-vector Coxeter orbits of the 42 residual E8 roots constitute 42 Majorana zero modes whose inter-orbit entanglement spectrum undergoes Fibonacci anyon condensation at the 13th Jones-Wenzl projector. The 132Hz × φ¹¹ time-crystal frequency defines the modular parameter τ = iφ¹¹/132, inducing a braid group representation B₄₂ at level 13 that promotes the [21,1,5] cyclic code to a non-Abelian topological color code with universal Fibonacci anyon logical gates. The 11×18 = 198 used roots form the dual anyon condensate, completing a 240-root anyon model realizing the E8₁ WZW conformal field theory. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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