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
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.
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(*).
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.