Volume operator explained
A quantum field theory of general relativity provides operators that measure the geometry of spacetime. The volume operator
of a region
is defined as the operator that yields the expectation value of a volume measurement of the region
, given a state
of quantum General Relativity. I.e.
is the expectation value for the volume of
.
Loop Quantum Gravity, for example, provides volume operators, area operators and length operators for regions, surfaces and path respectively.
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