einstein, string theory, and the future - ps.uci.edu
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Einstein, String Theory,and the Future
Jonathan FengUniversity of California, Irvine
Einstein: A Century of RelativitySkirball Cultural Center, Los Angeles
29 January 2005
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29 January 2005 Einstein: A Century of Relativity Feng 2
Relativity in a Nutshell
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29 January 2005 Einstein: A Century of Relativity Feng 3
Common Sense Physics
60 mph
30 mph
90 mph
vnew = vold + vtrain
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29 January 2005 Einstein: A Century of Relativity Feng 4
Weird Physicsvlight
30 mph
vlight
vnew = voldvnew =
vold + vtrain_____________1 + voldvtrain/vlight
2
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29 January 2005 Einstein: A Century of Relativity Feng 5
Classical Physics (1687)
Special Relativity (1905)
fast
Quantum Mechanics (1905)
small
General Relativity (1915)
heavy
Quantum Field Theory (1940’s)
String Theory ??
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29 January 2005 Einstein: A Century of Relativity Feng 6
What is String Theory?
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29 January 2005 Einstein: A Century of Relativity Feng 7
Standard Model of Particle Physics:The Modern Theory of Matter
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29 January 2005 Einstein: A Century of Relativity Feng 8
Elementary Particles and Interactions
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29 January 2005 Einstein: A Century of Relativity Feng 9
In String Theory, Particles are Strings
Different Vibrations Different Particles
upquark
downquark electron
String Combinations Particle Interactions
String theory realizes Einstein’s dream of a unified theory
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29 January 2005 Einstein: A Century of Relativity Feng 10
Is String Theory Right ?
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29 January 2005 Einstein: A Century of Relativity Feng 11
Is String Theory Testable?
• It depends.
• Is it falsifiable?
No – not yet, anyway.
• Does it predict anything that could have observable consequences?
Yes – string theory extra dimensions!
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29 January 2005 Einstein: A Century of Relativity Feng 12
Extra Dimensions
• (x, y, z, t) + w, v,…? Science fiction?
• No – a major topic in science today:
What is our world made of?How does gravity work?
• How did this happen?
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29 January 2005 Einstein: A Century of Relativity Feng 13
Isaac Newton
1687: Space and time are the static stageon which physical processes act
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29 January 2005 Einstein: A Century of Relativity Feng 14
Albert Einsten
1915: Spacetime is an active player:curves, expands, shrinks, …
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29 January 2005 Einstein: A Century of Relativity Feng 15
Edwin Hubble
1929: The universe is expanding
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29 January 2005 Einstein: A Century of Relativity Feng 16
The Big Bang
• The universe does not expand into space –space itself expands
• Extrapolating back, space was small – the Big Bang
• Other dimensions could exist but still be small. String theory requires 6 extra dimensions.
• How can we test this possibility?
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29 January 2005 Einstein: A Century of Relativity Feng 17
Dark Matter
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29 January 2005 Einstein: A Century of Relativity Feng 18
Small Dimensions
• Suppose all particles propagate in extra dimensions, but these are curled up in circles.
• We will not notice them if the circles are very small.
Garden hose
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29 January 2005 Einstein: A Century of Relativity Feng 19
Extra Dimensional Matter• However, particles can move in the
extra directions.
• From our viewpoint, we will see this as new particles with masses
m ~ 0, 1/R, 2/R, 3/R, 4/R, …
Each known particle has an infinite “tower” of copies.
• Extra dimensions many new particles – what good are these?
…
4/R
3/R
2/R
mas
s
1/R
0
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29 January 2005 Einstein: A Century of Relativity Feng 20
Standard Model of Cosmology
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29 January 2005 Einstein: A Century of Relativity Feng 21
Dark Matter
disk ends here
expected
data
Dark matter is required to hold galaxies together
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• A lot of dark matter is required to hold galaxies together
• It cannot all be made of known particles
• It must be some new form of matter – maybe a sign of extra dimensions!
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29 January 2005 Einstein: A Century of Relativity Feng 23
Dark Matter Detection
DDMM
CDMS in the Soudan mine ½ mile underground in Minnesota
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29 January 2005 Einstein: A Century of Relativity Feng 24
Dark Matter at CollidersLarge Hadron Collider at CERN, Geneva
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29 January 2005 Einstein: A Century of Relativity Feng 25
Strong Gravity and Black Holes
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29 January 2005 Einstein: A Century of Relativity Feng 26
Gravity
• Gravity is the least understood force.• Many deep problems, but one obvious one:
Gravity is extraordinarily weak. It is important in everyday life only because it is always attractive.
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29 January 2005 Einstein: A Century of Relativity Feng 27
• More quantitatively, for separation distance r ,
For two protons, Fgravity ~ 10-36 FEM
• Very likely, we are missing something important. Why is gravity so weak?
• Maybe it isn’t…
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29 January 2005 Einstein: A Century of Relativity Feng 28
Extra Dimensions• Suppose our world is only a slice of the whole universe
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29 January 2005 Einstein: A Century of Relativity Feng 29
Strong Gravity
• In this case, gravity may be strong but appear weak only because its strength is diluted by extra dimensions.
• Fgravity ~ 1/r2+n for small lengths, where n is the number of extra dimensions. Can this be true?
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29 January 2005 Einstein: A Century of Relativity Feng 30
Yes!1
Feng, Science (2003)
10-60
10-40
10-20
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29 January 2005 Einstein: A Century of Relativity Feng 31
Black Holes• If two particles pass
close enough with enough energy, they will form a tiny black hole.
• For 3 spatial dimensions, gravity is too weak for this to happen. But with extra dimensions, gravity becomes strong, micro black holes can be created in particle collisions!
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29 January 2005 Einstein: A Century of Relativity Feng 32
Micro Black Holes
S. Harris
• Where can we find them?
• What will they look like?
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29 January 2005 Einstein: A Century of Relativity Feng 33
Black Holes
γγ
• But quantum mechanically, black holes Hawking radiate: black holes emit light!
• Classically, light and other particles do not escape: black holes are black.
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Black Hole Evaporation• “Normal” black holes:
Mass: MBH ~ MsunSize: kilometerTemperature: 0.01 KLifetime: ~ forever
• Micro black holes:Mass: MBH ~ 1000 MprotonSize: 10-18 mTemperature: 1016 KLifetime: 10-27 s
They explode!
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Black Holes at CollidersLarge Hadron Collider at CERN, Geneva
p p
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29 January 2005 Einstein: A Century of Relativity Feng 36
Black Holes from Cosmic Rays
The Auger Observatory in Argentina
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29 January 2005 Einstein: A Century of Relativity Feng 37
COLLISION COURSE CREATES MICROSCOPIC ‘BLACK HOLES’, 16 January 2002:
“…Dozens of tiny ‘black holes’ may be forming right over our heads… A new observatory might start spotting signs of the tiny terrors, say physicists Fengand Shapere… They’re harmless and pose no threat to humans.”
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29 January 2005 Einstein: A Century of Relativity Feng 38
Summary• A century later, Einstein’s remarkable papers still
are the foundation of physics, and we are still trying to realize his dream of a unified theory.
• String theory is our best attempt so far.
• Diverse experimental searches are underway. Will they be successful?
“It's tough to make predictions, especially about the future.” – Yogi Berra