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Complex Geometry of Nature and General Relativity - http://arxiv.org/abs/gr-qc/9911051
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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Doing Physics with Quaternions - http://world.std.com/~sweetser/quaternions/qindex/qindex.html
A research effort to see how much of standard physics can be done using only quaternions, a 4-dimensional division algebra. |
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Journal on Applied Clifford Algebra - http://clifford-algebras.org
Journal devoted to the development of Geometric Analysis in particular through the use of Clifford Algebras, Quaternions, Hypercomplex Analysis and Multivector Techniques. Main emphasis en the applications to Physics. |
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Symplectic Geometries in Quantum Physics and Optics - http://arxiv.org/abs/quant-ph/9509002
A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics |
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Discrete Self-trapping Equation - http://www.ma.hw.ac.uk/~chris/dst/
A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations. |
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Lectures on Orientifolds and Duality - http://arxiv.org/abs/hep-th/9804208
Notes by Atish Dabholkar on orientifolds emphasizing applications to duality. |
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Klaus Brauer's Soliton Page - http://www.usf.uni-osnabrueck.de/~kbrauer/solitons.html
Presents a history of J.S.Russell's discovery of solitary waves, and animations of one-, two- and three-soliton solutions to the Korteweg-de Vries equation. Includes an article in PDF format on finding exact solutions to the KdV equation using the method of Backlund transform with the help of Mathematica. |
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Open Problems in Mathematics and Physics - http://www.geocities.com/ednitou/
Links to open problems in mathematics, physics and other subjects. |
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On Mathematics, Mathematical Physics, Truth and Reality - http://www.spaceandmotion.com/mathematical-physics/logic-truth-reality.htm
How mathematics exists in the universe and is related to physical reality. |
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Intrinsic Localized Modes - http://www.lassp.cornell.edu/~sievers/ilm/
Dynamics of defect-free periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell. |
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Recent Developments in Skyrme Models - http://arxiv.org/abs/hep-th/9812148
An introduction by T. Gisiger and M.B. Paranjape to recent, more mathematical developments in the Skyrme model. The aim is to render these advances accessible to mainstream nuclear and particle physicists. |
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On the Origins of Twister Theory - http://users.ox.ac.uk/~tweb/00001/
A new approach pioneered by Roger Penrose, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity. |
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Differential Equations and Oscillations - http://www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/mydif2/
Many problems in physics are described by differential equations. As a complete discussion of differential equations is beyond the scope of this chapter we will deal only with linear first and second order ordinary differential equations. |
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Inexplicable Secrets of Creation - http://www.secamlocal.ex.ac.uk/~mwatkins/isoc/
Relationships between number theory and physics. |
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Commutative Hypercomplex Mathematics - http://home.comcast.net/~cmdaven/hyprcplx.htm
A commutative algebra, function theory, and system of analysis is developed for one 4-D variable (not quaternions). It is based upon a commutative group ring and extends all of the properties of the classical complex variables. |