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Related Experiment Videos

E10, BE10 and arithmetical chaos in superstring cosmology.

T Damour1, M Henneaux

  • 1Institut des Hautes Etudes Scientifiques, 35, route de Chartres, F-91440 Bures-sur-Yvette, France.

Physical Review Letters
|June 1, 2001
PubMed
Summary

Superstring theory

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Area of Science:

  • Theoretical physics
  • Cosmology
  • String theory

Background:

  • The behavior of solutions near cosmological singularities is complex.
  • Superstring theory offers a framework for understanding fundamental physics.

Purpose of the Study:

  • To describe the oscillatory behavior of superstring theory solutions near singularities.
  • To investigate the chaotic nature of cosmological oscillations.

Main Methods:

  • Modeling solutions as billiard motion in hyperbolic space.
  • Utilizing the Weyl groups of hyperbolic Kac-Moody algebras (E10, BE10).

Main Results:

  • Oscillatory behavior is analogous to billiard motion within a simplex.
  • The chaotic (Anosov) nature of classical cosmological oscillations is proven.
  • Identified discrete Coxeter groups as Weyl groups of arithmetic hyperbolic Kac-Moody algebras.

Conclusions:

  • The study reveals a connection between superstring cosmology and chaotic billiard systems.
  • Suggests a
  • chaotic quantum billiard
  • mechanism for vacuum selection in string theory.

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