Annotating the Wall

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  The Wall

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  Explanations for the Wall

• A High Resolution Interactive Version of the Wall has been created

The following list contains the names of all equations, formulas, and illustrations that are shown on the Wall. The goal is to create a helpful explanation for each element of the list.

• I. Jones polynomial for right trefoil knot; Witten’s path-integral formulation for Jones polynomial using Chern-Simons action
• II. Feynman Diagram illustrating associativity equation in Quantum Field Theory
• III. Yang-Baxter equation
• IV. Lorenz Attractor: Lorenz equations with orbit
• V. Diagram of a black hole with Schwarzschild radius
• VI. The five regular polyhedra
• VII. Equiangular spiral drawn in "golden" rectangle (side ratio = golden mean g), ratio of consecutive Fibonacci numbers approaches g, represented by its continued fraction expansion.
• VIII.Babylonian computation of the square root of 2
• IX. Visual proof of the Pythagorean Theorem
• X. Cell decomposition of torus; Euler characteristic; Gauss-Bonnet formula.
• XI. Archimedes: On the Sphere and Cylinder.
• XII. Aharanov-Bohm Effect
• XIII.Supergravity Langangian; root diagram for Lie Group E8
• XIV. Navier-Stokes equation with flow around cylinder.

• 0. In Ellipse: (Kepler's 1st law represented by star, ellipse, planet)
• 1. Kepler's 2nd law
• 2. Newton's force-acceleration equation
• 3. Kepler's 3rd law
• 4. Newton's gravitational law
• 5. Einstein's General Relativity equation
• 6. Schrödinger's equation
• 7. Dirac equation
• 8. Atiyah-Singer Theorem
• 9. Yang-Mills equations
• 10. Defining relation of Supersymmetry

• A. Einstein’s mass-energy equation
• B. Maxwell's Equations
• C. Stoke's Theorem
• D. The boundary of a boundary is zero
• E. Heisenberg's indeterminacy relation
• F. Euler's formula for Zeta-function
• G. Interaction between two string; Feynman Diagram shows corresponding interaction of particles, here the Compton scattering of a photon off an electron.

Further Resources

• Youtube playlist with helpful videos
• List of elements on the Wall at Stony Brook