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Related Experiment Videos

Compact hyperbolic extra dimensions: branes, kaluza-klein modes, and cosmology

Kaloper1, March-Russell, Starkman

  • 1Department of Physics, Stanford University, Stanford, California 94305, USA.

Physical Review Letters
|September 16, 2000
PubMed
Summary

Theories with low gravitational scale M(*) are revisited, altering Kaluza-Klein modes with compact hyperbolic manifolds. This resolves early Universe issues and astrophysical constraints, enabling a large hierarchy with testable signatures.

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Area of Science:

  • High-energy physics
  • Cosmology
  • String theory

Background:

  • Revisiting theories with low gravitational (or string) scale M(*).
  • Newton's constant generated via large-volume spatial dimensions.
  • Standard Model states localized to a 3-brane.

Purpose of the Study:

  • To alter the Kaluza-Klein mode spectrum using compact hyperbolic manifolds.
  • To allow normal early Universe evolution up to substantial temperatures.
  • To negate astrophysical constraints on M(*) and enable an exponential hierarchy.

Main Methods:

  • Utilizing compact hyperbolic manifolds.
  • Analyzing the spectrum of Kaluza-Klein modes.
  • Investigating theories with low gravitational scale M(*).

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Main Results:

  • Radically altered spectrum of Kaluza-Klein modes.
  • Normal early Universe evolution possible up to high temperatures.
  • Astrophysical constraints on M(*) are negated.
  • Exponential hierarchy emerges with O(1) coefficients.
  • Small linear size of the internal space.

Conclusions:

  • The proposed model resolves early Universe issues and astrophysical constraints.
  • It allows for a large hierarchy between Planck and fundamental scales.
  • The model presents striking testable signatures for future research.