Space-time Lego Willem Westra And Stefan Zohren. Our goal Find a theory of Gravity for very, very...
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Space-time Lego
Willem Westra
And
Stefan Zohren
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Our goal
Find a theory of Gravity for very, very small scales
Einstein’s theory of gravity: works well for big things such as stars and planets
Small scales: Quantum Mechanics...
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The big stuff: Gravity
Einstein’s theory of general relativity, 1918
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Gravity: curvature of space-time Matter curves space-time Curved space-time tells matter how to
move
QuickTime™ and a decompressor
are needed to see this picture.
Gravity = Geometry
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The small: Quantum mechanics
Schrödinger’s equation, 1927
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Quantum Mechanics Everything that can happen...
does happen
What we see is the stuff that is
most probable to happen
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big + small
gravity + quantum
curved space-time + probability
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Curved space + quantum Task: count all possible curved space-times Compute the most probable ones
Solution: build space time from little “Lego blocks”
Count the number of ways the Lego blocks can be put together
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1+1 dimensional space times One dimension of space One dimension of time Simplest Lego blocks: triangles
Task: count the number of ways one can glue triangles together
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Counting the triangles
N N N
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Counting the triangles
N N+1 N+1
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Splitting the universe
N N+1 N+1 N
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The standard equation
N N+1 N
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Missing a move?
N N+1 N