Some New Researches of Field Theory in Mathematics and the Applications in Physics

Abstract

Abstract: When the space-dimension of mathematics and the rank n of calculus are extended to fraction and various number-systems,the field theory and its formulas may be correspondingly extended.In these cases,Gauss law and Stokes law,and corresponding the extensions on gradient,divergence and curl are searched,in which there may be different forms of extensive curl.It may combine the fractal and complex-dimension.Moreover,the applications in physics are researched.The development from scalar and vector to tensor,spinor and twistor,etc.is stated briefly.

Key words: field theory, gradient, divergence, curl, physical application, tensor, spinor, twistor

ZHANG Yi-Fang. Some New Researches of Field Theory in Mathematics and the Applications in Physics[J]. journal6, 2010, 31(1): 47-53.

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