- #1
twistor
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Hello community! I found this paper and I wanted to share it with you and know what are your thoughts about it.
The author is one of the main proponents of Shape Dynamics.
http://arxiv.org/pdf/1404.4815.pdf
Quantum Inflation of Classical Shapes
Tim Koslowski
Department of Mathematics and Statistics
University of New Brunswick
Fredericton, NB, Canada
t.a.koslowski@gmail.com
April 21, 2014
Abstract
I consider a quantum system that possesses key features of quantum shape dynamics and show that the evolution of wave-packets will be come increasingly classical at late times and tend to evolve more and more like
an expanding classical system. At early times however, semiclassical effects become large and lead to an exponential mismatch of the apparent scale as compared to the expected classical evolution of the scale degree
of freedom. This quantum inflation of an emergent and effectively classical system, occurs naturally in the quantum shape dynamics description of the system, while it is unclear whether and how it might arise in a
constrained Hamiltonian quantization.
The author is one of the main proponents of Shape Dynamics.
http://arxiv.org/pdf/1404.4815.pdf
Quantum Inflation of Classical Shapes
Tim Koslowski
Department of Mathematics and Statistics
University of New Brunswick
Fredericton, NB, Canada
t.a.koslowski@gmail.com
April 21, 2014
Abstract
I consider a quantum system that possesses key features of quantum shape dynamics and show that the evolution of wave-packets will be come increasingly classical at late times and tend to evolve more and more like
an expanding classical system. At early times however, semiclassical effects become large and lead to an exponential mismatch of the apparent scale as compared to the expected classical evolution of the scale degree
of freedom. This quantum inflation of an emergent and effectively classical system, occurs naturally in the quantum shape dynamics description of the system, while it is unclear whether and how it might arise in a
constrained Hamiltonian quantization.
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