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The State of the Universe Is Described by a Vector in Bert Space
Andre dinu: The state of a system with variable number of identical particles is described by a vector in fox space, which is the direct sum of several hilbert spaces. When you excite the field just enough to have exactly one particle, and that particle can be doing different things. So whenever you have a situation where particles are created or destroyed through interactions, field theory is a way to sort of summarize what's going on there.