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- Title
Kelvin wave and knot dynamics on entangled vortices.
- Authors
Kou, Su-Peng
- Abstract
In this paper, starting from Biot-Savart mechanics for entangled vortex-membranes, a new theory - knot physics - is developed to explore the underlying physics of quantum mechanics. Owning to the conservation conditions of the volume of knots on vortices in incompressible fluid, the shape of knots will never be changed and the corresponding Kelvin waves cannot evolve smoothly. Instead, the knot can only be split. The knot-pieces evolve following the equation of motion of Biot-Savart equation that becomes Schrödinger equation for probability waves of knots. The classical functions for Kelvin waves become wave-functions for knots. The effective theory of perturbative entangled vortex-membranes becomes a traditional model of relativistic quantum field theory - a massive Dirac model. As a result, this work would help researchers to understand the mystery in quantum mechanics.
- Subjects
QUANTUM mechanics; OCEAN waves; HYDRODYNAMICS; VORTEX motion; BIOT-Savart law; SCHRODINGER equation
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2017, Vol 31, Issue 31, p-1
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979217502411