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The Measurement Problem: What constitutes a "measurement" that collapses the wave function? The mathematics of QM describes particles in superpositions (multiple states at once). Yet, when we observe, we find one definite state. The equations work perfectly but offer no clear line between the quantum world (governed by probability waves) and the classical world of definite objects. Is consciousness required? Is it interaction with a large system? The theory is silent, making it a predictively powerful algorithm for results, but not a complete description of reality. This isn't a missing piece; it's a foundational fog at the theory's heart.
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