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- W1520257077 abstract "We present the explicit solution to the geodesic equations in a warped de Sitter space-time proposed by Randall-Sundrum. We find that a test particle moves in the bulk and is not restricted on a 3-brane (to be taken as our universe). On the 3-brane, the test particle moves with uniform velocity, giving the appearance that it is not subject to a force. But computing the particle’s energy using the energy-momentum tensor yields a time-dependent energy that suggests a time-dependent mass. Thus, the extra force, which is the effect of the warped extra dimension on the particle’s motion on the 3-brane, does not change the velocity but the mass of the particle. The particle’s motion in the bulk also results in a time-dependent modification of the Heisenberg uncertainty principle as viewed on the 3-brane. These two results show that the classical physics along the extra dimension results in the time-dependence of particle masses and the uncertainty principle. If the particle masses are time-independent and Heisenberg’s uncertainty principle is to remain unchanged, then there must be a non-gravitational force that will restrict all particles on the 3brane. Finally, we just note that although classically, these time-dependent corrections on the 3-brane can be removed, quantum mechanical corrections along the extra dimension will restore back the problem." @default.
- W1520257077 created "2016-06-24" @default.
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- W1520257077 date "2011-08-03" @default.
- W1520257077 modified "2023-09-27" @default.
- W1520257077 title "Geodesics, Mass and the Uncertainty Principle in a Warped de Sitter Space-Time" @default.
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