Temporal Quantum Logic
Representing history propositions by projectors on the history Hilbert space naturally encodes the logical structure of history propositions. The lattice operations on the set of projection operations on the history Hilbert space can be applied to model the lattice of logical operations on history propositions.
If two homogeneous histories and don't share the same temporal support they can be modified so that they do. If is in the temporal support of but not (for example) then a new homogeneous history proposition which differs from by including the "always true" proposition at each time can be formed. In this way the temporal supports of can always be joined together. What shall therefore assume that all homogeneous histories share the same temporal support.
We now present the logical operations for homogeneous history propositions and such that
Read more about this topic: HPO Formalism
Famous quotes containing the words temporal, quantum and/or logic:
“What’s this, Aurora Leigh,
You write so of the poets and not laugh?
Those virtuous liars, dreamers after dark,
Exaggerators of the sun and moon,
And soothsayers in a tea-cup? I write so
Of the only truth-tellers, now left to God,—
The only speakers of essential truth,
Opposed to relative, comparative,
And temporal truths;...
The only teachers who instruct mankind,
From just a shadow on a charnel-wall.”
—Elizabeth Barrett Browning (1806–1861)
“But how is one to make a scientist understand that there is something unalterably deranged about differential calculus, quantum theory, or the obscene and so inanely liturgical ordeals of the precession of the equinoxes.”
—Antonin Artaud (1896–1948)
“...some sort of false logic has crept into our schools, for the people whom I have seen doing housework or cooking know nothing of botany or chemistry, and the people who know botany and chemistry do not cook or sweep. The conclusion seems to be, if one knows chemistry she must not cook or do housework.”
—Ellen Henrietta Swallow Richards (1842–1911)