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)
“A personality is an indefinite quantum of traits which is subject to constant flux, change, and growth from the birth of the individual in the world to his death. A character, on the other hand, is a fixed and definite quantum of traits which, though it may be interpreted with slight differences from age to age and actor to actor, is nevertheless in its essentials forever fixed.”
—Hubert C. Heffner (1901–1985)
““... We need the interruption of the night
To ease attention off when overtight,
To break our logic in too long a flight,
And ask us if our premises are right.””
—Robert Frost (1874–1963)