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Entropic Dynamics and the Quantum Measurement Problem
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We explore the measurement problem in the entropic dynamics approach to quantum theory. The dual modes of quantum evolution---either continuous unitary evolution or abrupt wave function collapse during measurement---are unified by virtue of both being special instances of entropic updating of probabilities. In entropic dynamics particles have definite but unknown positions; their values are not created by the act of measurement. Other types of observables are introduced as a convenient way to describe more complex position measurements; they are not attributes of the particles but of the probability distributions; their values are effectively created by the act of measurement. We discuss the Born statistical rule for position, which is trivially built into the formalism, and also for generic observables.
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The Entropic Dynamics approach to Quantum Mechanics
Requiring the entropic dynamics of a probability density and phase to preserve both symplectic and information-geometric structures yields the linear Schrödinger equation.
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