Einstein, String Theory, and the Future

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Transcription:

Einstein, String Theory, and the Future Jonathan Feng University of California, Irvine Einstein: A Century of Relativity Skirball Cultural Center, Los Angeles 29 January 2005

Relativity in a Nutshell 29 January 2005 Einstein: A Century of Relativity Feng 2

Common Sense Physics 60 mph 90 mph 30 mph v new = v old + v train 29 January 2005 Einstein: A Century of Relativity Feng 3

Weird Physics v light v light 30 mph v new = v old v new = v old + v train 2 1 + v old v train /v light 29 January 2005 Einstein: A Century of Relativity Feng 4

small Classical Physics (1687) fast heavy Quantum Mechanics (1905) Special Relativity (1905) General Relativity (1915) Quantum Field Theory (1940 s)? String Theory? 29 January 2005 Einstein: A Century of Relativity Feng 5

What is String Theory? 29 January 2005 Einstein: A Century of Relativity Feng 6

Standard Model of Particle Physics: The Modern Theory of Matter 29 January 2005 Einstein: A Century of Relativity Feng 7

Elementary Particles and Interactions 29 January 2005 Einstein: A Century of Relativity Feng 8

In String Theory, Particles are Strings Different Vibrations Different Particles String Combinations Particle Interactions up quark down quark electron String theory realizes Einstein s dream of a unified theory 29 January 2005 Einstein: A Century of Relativity Feng 9

Is String Theory Right? 29 January 2005 Einstein: A Century of Relativity Feng 10

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! 29 January 2005 Einstein: A Century of Relativity Feng 11

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? 29 January 2005 Einstein: A Century of Relativity Feng 12

Isaac Newton 1687: Space and time are the static stage on which physical processes act 29 January 2005 Einstein: A Century of Relativity Feng 13

Albert Einsten 1915: Spacetime is an active player: curves, expands, shrinks, 29 January 2005 Einstein: A Century of Relativity Feng 14

Edwin Hubble 1929: The universe is expanding 29 January 2005 Einstein: A Century of Relativity Feng 15

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? 29 January 2005 Einstein: A Century of Relativity Feng 16

Dark Matter 29 January 2005 Einstein: A Century of Relativity Feng 17

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 29 January 2005 Einstein: A Century of Relativity Feng 18

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? mass 4/R 3/R 2/R 1/R 0 29 January 2005 Einstein: A Century of Relativity Feng 19

Standard Model of Cosmology 29 January 2005 Einstein: A Century of Relativity Feng 20

Dark Matter data Dark matter is required to hold galaxies together expected disk ends here 29 January 2005 Einstein: A Century of Relativity Feng 21

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! 29 January 2005 Einstein: A Century of Relativity Feng 22

Dark Matter Detection CDMS in the Soudan mine ½ mile underground in Minnesota D M 29 January 2005 Einstein: A Century of Relativity Feng 23

Dark Matter at Colliders Large Hadron Collider at CERN, Geneva 29 January 2005 Einstein: A Century of Relativity Feng 24

Strong Gravity and Black Holes 29 January 2005 Einstein: A Century of Relativity Feng 25

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. 29 January 2005 Einstein: A Century of Relativity Feng 26

More quantitatively, for separation distance r, For two protons, F gravity ~ 10-36 F EM Very likely, we are missing something important. Why is gravity so weak? Maybe it isn t 29 January 2005 Einstein: A Century of Relativity Feng 27

Extra Dimensions Suppose our world is only a slice of the whole universe 29 January 2005 Einstein: A Century of Relativity Feng 28

Strong Gravity In this case, gravity may be strong but appear weak only because its strength is diluted by extra dimensions. F gravity ~ 1/r 2+n for small lengths, where n is the number of extra dimensions. Can this be true? 29 January 2005 Einstein: A Century of Relativity Feng 29

Yes! 1 10-20 10-40 Feng, Science (2003) 10-60 29 January 2005 Einstein: A Century of Relativity Feng 30

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! 29 January 2005 Einstein: A Century of Relativity Feng 31

Micro Black Holes Where can we find them? What will they look like? S. Harris 29 January 2005 Einstein: A Century of Relativity Feng 32

Black Holes Classically, light and other particles do not escape: black holes are black. γ γ But quantum mechanically, black holes Hawking radiate: black holes emit light! 29 January 2005 Einstein: A Century of Relativity Feng 33

Black Hole Evaporation Normal black holes: Mass: M BH ~ M sun Size: kilometer Temperature: 0.01 K Lifetime: ~ forever Micro black holes: Mass: M BH ~ 1000 M proton Size: 10-18 m Temperature: 10 16 K Lifetime: 10-27 s They explode! 29 January 2005 Einstein: A Century of Relativity Feng 34

Black Holes at Colliders Large Hadron Collider at CERN, Geneva p p 29 January 2005 Einstein: A Century of Relativity Feng 35

Black Holes from Cosmic Rays The Auger Observatory in Argentina 29 January 2005 Einstein: A Century of Relativity Feng 36

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 Feng and Shapere They re harmless and pose no threat to humans. 29 January 2005 Einstein: A Century of Relativity Feng 37

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 29 January 2005 Einstein: A Century of Relativity Feng 38