Quantum Gravity Research
  • The Theory
    • CCT Book
    • The Basics
      • Cycle Clock Theory Overview
      • Glossary
      • Cycle Clock Theory Extras
    • Publications
      • All Papers
      • Golden Ratio/Packing of Tetrahedra
      • Geometry
      • Geometric Topology
      • Quasicrystals
      • Spin Network
      • Unification
      • Cosmology
      • Quantum Computing
      • Conference Materials
    • Videos
      • All Videos
      • Movies
      • QGR Lectures and Presentations
      • Guest Lectures and Presentations
      • Visualizations and Animations
      • For Fun
      • Meet Our Scientists
      • QGR in Foreign Languages
    • Object Library
  • The Group
    • Our Staff
    • Associate Scientists
    • Our Mission
    • Our Story
    • Media Coverage
    • Job Openings
    • Teespring Store
    • Grants
    • Contact
  • Support Us
Press enter to begin your search

The Golden Ratio Emerges from E8

Ray Aschheim

Ray Aschheim of Quantum Gravity Research shows that the golden ratio is at the heart of the spectrum of the E8 Lattice. We compute the 9 eigenvalues of the Cartan Matrix of E9, which encodes all the properties of the E8 Lattice, and discover that 4 of them are directly related to the square of the golden ratio. This new ontology is detailed in a chapter of a recent book published by Minkowski Institute Press about General Relativity.
 

THE BASICS

  • Emergence Theory Overview
  • Glossary
  • Emergence Theory Extras

Publications

Object Library

VIDEOS

  • Movies
  • QGR Lectures & Presentations
  • Guest Lectures & Presentations
  • Visualizations and Animations
  • For Fun

THE GROUP

  • Our Staff
  • Associate Scientists
  • Our Mission
  • Our Story
  • Support Us
  • Media Coverage
  • Job Openings
  • Store
  • Grants
  • Contact

  • The Theory
    • CCT Book
    • The Basics
      • Cycle Clock Theory Overview
      • Glossary
      • Cycle Clock Theory Extras
    • Publications
      • All Papers
      • Golden Ratio/Packing of Tetrahedra
      • Geometry
      • Geometric Topology
      • Quasicrystals
      • Spin Network
      • Unification
      • Cosmology
      • Quantum Computing
      • Conference Materials
    • Videos
      • All Videos
      • Movies
      • QGR Lectures and Presentations
      • Guest Lectures and Presentations
      • Visualizations and Animations
      • For Fun
      • Meet Our Scientists
      • QGR in Foreign Languages
    • Object Library
  • The Group
    • Our Staff
    • Associate Scientists
    • Our Mission
    • Our Story
    • Media Coverage
    • Job Openings
    • Teespring Store
    • Grants
    • Contact
  • Support Us