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We formulate the conformal mapping between $R^3$ and $S^3$, the 3 sphere.This mapping is applied to the critical Ising model. From this mapping, wecalculate the second and fourth moments of the magnetization density, and usingthose quantities calculate the 4th Binder cumulant. Our calculations for thecritical 3D Ising Model on a 3 sphere are done using Mathematica's Monte CarloIntegration feature. The main motivation for performing this calculation is sowe can later compare it to what the Quantum Elemental Method predicts.

Conformal invariance and the Ising model on a 3 sphere in connection with the Quantum Elemental Method