Wavepacket of the Universe and its spreading
Authors:
Preprint
Abstract
Wavepackets in quantum mechanics spread and the Universe in cosmology expands. We discuss a simple formalism where the two effects can be, at least in principle, unified. Spreading analogous to expansion known from the concordance model of cosmology is obtained if one replaces an ordinary exponent by its generalization typical of fractal theory or variational principles employing Kolmogorov-Nagumo averages. The unitary evolution operator is brought to a form that makes generalizations to other dimensions and other fields quite natural.Keywords
All Related Versions
This publication has 10 references indexed in Scilit:
- Lie algebras of local currents and their representations2008
- Chaos edges of-logistic maps: Connection between the relaxation and sensitivity entropic indicesPhysical Review E, 2006
- Thermostatistics based on Kolmogorov–Nagumo averages: unifying framework for extensive and nonextensive generalizationsPhysics Letters A, 2002
- Beyond the Zipf–Mandelbrot law in quantitative linguisticsPhysica A: Statistical Mechanics and its Applications, 2001
- Wave function of the UniversePhysical Review D, 1983
- Currents as Coordinates for HadronsPhysical Review B, 1968
- Quantum Theory of Gravity. I. The Canonical TheoryPhysical Review B, 1967
- On Cauchy’s problem in general relativityIl Nuovo Cimento (1869-1876), 1959
- Zur Operatorenmethode In Der Klassischen MechanikAnnals of Mathematics, 1932
- Hamiltonian Systems and Transformation in Hilbert SpaceProceedings of the National Academy of Sciences, 1931