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- Quantum Limits to the Measurement of Spacetime Geometry

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PIRSA Number:

12060061

This talk analyzes the limits that quantum mechanics imposes on the

accuracy to which spacetime geometry can be measured. By applying the

fundamental physical bounds to measurement accuracy ensembles of clocks

and signals, as in the global positioning system, I present a covariant

version of the quantum geometric limit, which states that the total

number of ticks of clocks and clicks of detectors that can be contained

in a four volume of spacetime of radius R and temporal extent is less

than or equal to RT divided by the Planck length times the Planck time.

The quantum geometric bound limits the number of events or `ops' that

can take place in a four-volume of spacetime and is consistent with and

complementary to the holographic bound which limits the number of bits

that can exist within a three-volume of spacetime.

©2012 Perimeter Institute for Theoretical Physics