String theory, scale relativity and the generalized uncertainty principle |
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Authors: | Carlos Castro |
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Institution: | (1) Center for Particle Theory, Physics Department, University of Texas, 78712 Austin, Texas;(2) ICSC World Laboratory, Lausanne, Switzerland;(3) Center for Theoretical Studies, Clark Atlanta University, 30314 Atlanta, Georgia |
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Abstract: | Extensions (modifications) of the Heisenberg uncertainty principle are derived within the framework of the theory of special
scale-relativity proposed by Nottale. In particular, generalizations of the stringy uncertainty principle are obtained where
the size of the strings is bounded by the Planck scale and the size of the universe. Based on the fractal structures inherent
with two dimensional quantum gravity, which has attracted considerable interest recently, we conjecture that the underlying
fundamental principle behind string theory should be based on an extension of the scale relativity principle whereboth dynamics as well as scales are incorporated in the same footing. |
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Keywords: | strings|scale relativity|uncertainty principle|fractals|quantum gravity|Planck length |
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