Born Rule Measurement

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Born rule: P(x) = |ψ(x)|² — the probability of finding a particle at position x equals the squared amplitude of the wavefunction. Each measurement collapses ψ to a definite position, sampled from |ψ|². After many measurements, the histogram converges to |ψ|². The deviation between empirical frequencies and |ψ|² decreases as 1/√N (central limit theorem).