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Saturday, April 24, 2010
LOOP QUANTUM GRAVITY
JASON SOUTH
PHYSICS/ MATHEMATICS/ PHILOSOPHY
OBJECTIVES
ANALYSE CURRENT PHYSICS MODELS
WHY DO WE NEED A UNIFYING THEORY?
PRESENT THE KEY FEATURES OF LQG
QUESTION THE VERIFIABILITY OF THE THEORY
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• Loop quantum gravity
Saturday, April 24, 2010
CURRENT PHYSICS
TWO MODELS- RELATIVITY vsQUANTUM MECHANICS
TWO VERY DIFFERENT SCHEMES OF NATURE
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Saturday, April 24, 2010
SPECIAL RELATIVITY
TIME DILATION
LENGTH CONTRACTION
MASS, ENERGY, MOMENTUM FLUCTUATIONS
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Saturday, April 24, 2010
GENERAL RELATIVITY
GRAVITY AS A CURVATURE
THE BACKGROUND ITSELF
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Saturday, April 24, 2010THE DIVERGENCE BETWEEN EINSTEIN AND NEWTON
FIXED SPACE OR DYNAMIC SPACE-TIME
BACKGROUND DEPENDANCE
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Saturday, April 24, 2010
THE MICROSCOPIC UNIVERSE
QUANTUM MECHANICS
CHAOTIC
VIOLENT
NOT CONTINUOUS VIEW OF SPACE-TIME
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Saturday, April 24, 2010
MATTER AS WAVES
The Schrödinger equation
de BROGLIE WAVELENGTH
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Saturday, April 24, 2010
UNCERTAINTY
PROBABILITY
BACKGROUND DEPENDANCE
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Saturday, April 24, 2010
WHY THE NEED FOR UNIFICATION
RELATIVITY- LARGE OBJECTS, LOW ENERGY
QUANTUM MECHANICS- SMALL SCALES, HIGHENERGY
BLACK HOLES
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Saturday, April 24, 2010
THE ORIGIN OF THE UNIVERSE
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Saturday, April 24, 2010
SPACE-TIME ITSELF
DISCRETE
GRANULAR
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Saturday, April 24, 2010
SCALES
UNCERTAINTY PRINCIPLE AND LENGTH BLACK HOLES
TIME ITSELF MUST BE DISCRETE.
QUANTIZATION OF SPACE IS SIMILAR TO ENERGY LEVELS IN THE ATOM
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Saturday, April 24, 2010
SPACE-TIME CONSTRUCTION
FARADAY LINES AND SPACE
DERIVATION OF THE LOOPS IN LQG
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Saturday, April 24, 2010SPIN NETWORKS
LIMIT ON VOLUME OF SPACETIME
WHAT IS BETWEEN THE NODES?
WHAT IS OUTSIDE OF THE NETWORK?
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Saturday, April 24, 2010
SPIN FOAMS
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Saturday, April 24, 2010
AVENUES FOR VERIFICATION
PROBING THE ENERGY SCALES
10^19 GeV
GALACTIC MACHINES
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Saturday, April 24, 2010IF LQG IS CORRECT
1)DISCRETE SPACE WOULD LEAD TO CERTAIN PHOTON DISPERSIONS
2)LORENTZ INVARIANCE SHOULD BE VIOLATED
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Sources
• Roger Penrose. The Road to Reality
• Lee Smolin. Three Roads To Quantum Gravity
• Brian Greene. The Elegant Universe
• Brian Greene. The Fabric of the Cosmos
• http://www.youtube.com/watch?v=enEWzF_8lrk&NR=1
• Carlo Rovelli. Loop Quantum Gravity
• Spin networks are simplicial quantum gravity
• Brosl Hasslacher1
• Malcolm J. Perry2
• The future of spin networks
• Authors: Lee Smolin
Saturday, April 24, 2010