A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics.
A new method of correlating physics formulas to derive one formula from a related formula using Euclidean geometry to represent the inter-relationship of physics formulas.
Links to open problems in mathematics, physics and other subjects.
Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics.
A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics
An essay by C. Nash on the historical connection between topology and physics.
An article by Jorge Rezende, University of Lisbon (PDF).
Fourier transforms of radially-symmetric functions can be performed efficiently using the Hankel transform of order zero. Illustrations of the method are presented, and of the Gibbs' phenomenon.
A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type.
A paper by Giampiero Esposito attempting to give a self-contained introduction to holomorphic ideas in general relativity. The main topics are complex manifolds, spinor and twistor methods, heaven spaces.
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