Annotating the Wall
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; Wittenâs 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.
The Wall
Explanations for the Wall
- A High Resolution Interactive Version of the Wall has been created
- 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. Einsteinâs 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.