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> Within that framework, the most natural interpretation of this question might be, "Would it be possible in principle for a conscious being with perfect knowle
by maaku 13y ago
> Within that framework, the most natural interpretation of this question might be, "Would it be possible in principle for a conscious being with perfect knowledge of the current state of the universe to predict the outcome that they would observe for any possible experiment?" Quantum mechanics answers this with an definitive "No." Even very simple systems can be prepared in a "superposition" of two possible states, in a sense that represents not just our ignorance of some underlying truth but a true mixture with measurable consequences.
I think maybe you'd want to reference Heisenberg uncertainty here, not superposition? Superposition is weird, but deterministic except for the wave function collapse, but you correctly deal with that later. Its the Heisenberg uncertainty that prevents you from precisely measuring a particle's current state, thereby preventing you from obtaining fully predictive information except in philosophical hypotheticals.
- Steuard 13y agoThe (Heisenberg) uncertainty is a specific, computable quantity associated with the expectation value of an operator for a given quantum state. If that state is an eigenstate of the operator to be measured, the uncertainty is exactly zero. The only way for a state to have a non-zero uncertainty in its expectation value is if it is a superposition of more than one eigenstate with different eigenvalues. So I stand by my "superposition" phrasing. :) Taking a measurement of a system that is in a superposition of distinct eigenstates of the observable being measured will give a probabilistic distribution of measurement outcomes (with probabilities derived from the amplitudes of the corresponding terms in the superposition).