Epistemology
of quantum mechanics represents knowledge as a transition from the
possibility of all future quantum states to the actuality of a single
past state by means of measurement. Thus quantum mechanics involves
the relevant quantitative measure both of probabilities and of actual
space-time positions. The Hilbert space, which is the basic
mathematical structure underlying quantum mechanics, serves to
describe that common or joint quantitative measure and its
transformation from a quantum system to another. This implies
phenomena of entanglement, after which the parts of a quantum system
can actually interact by means of their future possibilities
measurable as corresponding probabilities. Thus epistemology of
quantum mechanics studies the transformation between certain
modalities in a quantitative and experimental way.
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