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The Quantum Geometric Limit
Published on Oct 16, 20124006 Views
This talk derives fundamental limits to the accuracy with which clocks and signals - e.g. the global positioning system (GPS) - can measure space and time. By combining quantum limits to the accuracy
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Chapter list
The Quantum Geometric Limit00:00
GPS08:46
Quantum limits to GPS13:46
Two quantum limits13:47
Here, Δt is the time it takes for a system to go from one state to an orthogonal state26:57
Maximum energy within a volume of radius r28:08
op = accumulation of phase of π/2 relative to ground state32:53
The quantum geometric limit37:33
Compare with holography42:41
Jacobson 199546:01
Covariant cylinder48:47
Suppose each op removes an area α lp tp from surface of covariant cylinder50:24
Thereby causing spacetime to curve51:22
So ...52:57
Summary57:19
Einstein´s equations57:24