Quantum Probability & The Measurement Problem
Quantum physics is defined mathematically by the Schroedinger equation, which depicts the probability of a particle being found at a certain point. This probability is fundamental to the system, not merely a result of ignorance. Once a measurement is made, however, you have a definite result.
The measurement problem is that the theory doesn't completely explain how the act of measurement actually causes this change. Attempts to solve the problem have led to some intriguing theories.
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