منابع مشابه
Planck-length Phenomenology
This author's recent proposal of interferometric tests of Planck-scale-related properties of space-time is here revisited from a strictly phenomenological viewpoint. The results announced previously are rederived using elementary dimensional considerations. The dimensional analysis is then extended to the other two classes of experiments (observations of neutral kaons at particle accelerators a...
متن کاملPlanck Length and Cosmology
We show that an unification of quantum mechanics and general relativity implies that there is a fundamental length in Nature in the sense that no operational procedure would be able to measure distances shorter than the Planck length. Furthermore we give an explicit realization of an old proposal by Anderson and Finkelstein who argued that a fundamental length in nature implies unimodular gravi...
متن کاملPlanck-Scale Phenomenology and Symmetry in Randers–Finsler Spaces
Lorentz Violation is a common feature of Planck-scale phenomenology. We show that the symmetry of Randers spaces deduces a modified dispersion relation, which takes the quantum gravity effects into account. The counterparts of the Lorentz transformation in the Einstein’s Special Relativity are presented explicitly. The coordinate transformations are unitary and form a group. Generators and alge...
متن کاملQuantum Gravity at the Planck Length
I describe our understanding of physics near the Planck length, in particular the great progress of the last four years in string theory. Lectures presented at the 1998 SLAC Summer Institute. ∗Supported by NSF Grants PHY94-07194 and PHY97-22022.
متن کاملEquivalence Principle, Planck Length and Quantum Hamilton–Jacobi Equation
The Quantum Stationary HJ Equation (QSHJE) that we derived from the equivalence principle, gives rise to initial conditions which cannot be seen in the Schrödinger equation. Existence of the classical limit leads to a dependence of the integration constant l = l1 + il2 on the Planck length. Solutions of the QSHJE provide a trajectory representation of quantum mechanics, which, unlike Bohm’s the...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics D
سال: 2001
ISSN: 0218-2718,1793-6594
DOI: 10.1142/s0218271801001128