Quantum Inflation of Classical Shapes by Tim Koslowski

  • Context: Graduate 
  • Thread starter Thread starter twistor
  • Start date Start date
  • Tags Tags
    Inflation Quantum
Click For Summary
SUMMARY

The discussion centers on Tim Koslowski's paper "Quantum Inflation of Classical Shapes," which explores the evolution of wave-packets in quantum shape dynamics. The paper asserts that at late times, these wave-packets increasingly resemble classical systems, while early times exhibit significant semiclassical effects leading to an exponential mismatch in scale. This phenomenon, termed quantum inflation, is a natural outcome of the quantum shape dynamics framework, although its emergence in constrained Hamiltonian quantization remains uncertain. The paper is a critical contribution to the understanding of shape dynamics in quantum systems.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with shape dynamics concepts
  • Knowledge of semiclassical physics
  • Basic grasp of Hamiltonian mechanics
NEXT STEPS
  • Research "Quantum Shape Dynamics" for foundational concepts
  • Study "Semiclassical Approximations in Quantum Mechanics" for deeper insights
  • Explore "Hamiltonian Quantization Techniques" to understand constraints
  • Read related papers on "Quantum Inflation" for broader context
USEFUL FOR

This discussion is beneficial for theoretical physicists, researchers in quantum mechanics, and students studying advanced concepts in shape dynamics and quantum systems.

twistor
Messages
74
Reaction score
8
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.
 
Last edited:
Physics news on Phys.org

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
5K
  • · Replies 28 ·
Replies
28
Views
5K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 62 ·
3
Replies
62
Views
11K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 25 ·
Replies
25
Views
5K
  • · Replies 48 ·
2
Replies
48
Views
5K
  • · Replies 7 ·
Replies
7
Views
3K