arlie petters duke university nagle lecture usf
TRANSCRIPT
Einstein 1915: General Relativity
• Our universe is 4D: 1 Time + 3D-Space
• Space and time are not independent
- form a spacetime continuum
• String theory
- elementary particles and forces arise from
vibrating strings
• Braneworld theory
- our universe floats in a 5D WORLD
1 Time + 4D-Space!
What is Braneworld Theory?
Credits: NYT Science
Braneworld TheoryRandall-Sundrum Formulation
• Our universe is a membrane (or brane) in a
5D World
• All particles and forces in our universe, except gravity, are stuck on our brane
Credits: NYT Science
Braneworld TheoryRandall-Sundrum Formulation
• See inside a closed room
• See all sides of a box simultaneously
What can beings from the 5th dimension do that we cannot?
View From the 5th Dimension
• Remove objects from inside a safe without opening the safe
View From the 5th Dimension
What can beings from the 5th dimension do that we cannot?
View From the 5th Dimension
• Come very close to you without you seeing them
What can beings from the 5th dimension do that we cannot?
• Could flip your organs if you leave brane
View From the 5th Dimension
What can beings from the 5th dimension do that we cannot?
The Boy Who Reversed HimselfWilliam Sleator (1986)
• Cube (3D): 8 vertices, 12 edges, 6 squares
• Hypercube (4D): 16 vertices, 32 edges,
24 squares, 8 cubesHYPERCUBE
Geometry of 4D-Objects
How can we know that there is a 5th dimension?
• Find a braneworld black hole
Keeton & Petters (2006)
• Mini black holes formed in early universe
early universe
Braneworld Black Holes Versus Regular Black Holes
• Microscopic black holes in Einstein’s theory
Mass less than asteroid Fizzled out by now
asteroid
Braneworld Black Holes Versus Regular Black Holes
asteroid
early universe
Braneworld Black Holes Versus Regular Black Holes
• Microscopic black holes in braneworld theory
Mass less than asteroid May exist today
• Braneworld black hole’s imprint on light
Keeton & Petters (2006)
How to detect a braneworld black hole?
source
lens plane
observer
Gravitational Lensing
star
B
A
Interpret as a Young double slit experiment
Einstein: Double Images
• Look for fringe patterns from braneworld black hole lensing
Keeton & Petters (2006)
Gamma Ray Bursts
How to detect a braneworld black hole?