Hints of a new relativity principle from p-brane quantum mechanics |
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| Institution: | 1. School of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China;2. School of Science, Henan University of Engineering, Zhengzhou 451191, China;1. Dipartimento di Matematica, Università di Pisa, Italy;2. Département d''Informatique, Université libre de Bruxelles, Belgium;1. Faculty of Mathematics and Statistics, Central China Normal University, PR China;2. Department of Statistics, Visva-Bharati University, Santiniketan, India |
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| Abstract: | This report is an extension of a previous one hep-th/9812189. Several quantum mechanical wave equations for p-branes are proposed. The most relevant p-brane quantum mechanical wave equations determine the quantum dynamics involving the creation/destruction of p-dimensional loops of topology Sp, moving in a D-dimensional spacetime background, in the quantum state Φ. To implement full covariance we are forced to enlarge the ordinary relativity principle to a new relativity principle, suggested earlier by the author based on the construction of C-space, and also by Pezzaglia's poly-dimensional relativity, where all dimensions and signatures of spacetime should be included on the same footing. |
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