History Projection Operators
The key observation of the HPO formalism is to represent history propositions by projection operators on a history Hilbert space. This is where the name "History Projection Operator" (HPO) comes from.
For a homogeneous history we can use the tensor product to define a projector
where is the projection operator on that represents the proposition at time .
This is a projection operator on the tensor product "history Hilbert space"
Not all projection operators on can be written as the sum of tensor products of the form . These other projection operators are used to represent inhomogeneous histories by applying lattice operations to homogeneous histories.
Read more about this topic: HPO Formalism
Famous quotes containing the words history and/or projection:
“The myth of independence from the mother is abandoned in mid- life as women learn new routes around the mother—both the mother without and the mother within. A mid-life daughter may reengage with a mother or put new controls on care and set limits to love. But whatever she does, her child’s history is never finished.”
—Terri Apter (20th century)
“In the case of our main stock of well-worn predicates, I submit that the judgment of projectibility has derived from the habitual projection, rather than the habitual projection from the judgment of projectibility. The reason why only the right predicates happen so luckily to have become well entrenched is just that the well entrenched predicates have thereby become the right ones.”
—Nelson Goodman (b. 1906)