Mathematics – Probability
Scientific paper
Aug 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005spie.5866..100k&link_type=abstract
The Nature of Light: What Is a Photon?. Edited by Roychoudhuri, Chandrasekhar; Creath, Katherine. Proceedings of the SPIE, Volu
Mathematics
Probability
Scientific paper
We show that, in spite of a rather common opinion, interference of probabilities can be easily obtained in purely corpuscular statistical model. All distinguishing features of the quantum probabilistic model (interference of probabilities, Born's rule, complex probabilistic amplitudes, Hilbert state space, representation of observables by operators) are present in a latent form in the classical Kolmogorov probability model. However, classical model should be considered as a contextual model (in the sense that all probabilities are determined by contexts-complexes of physical conditions). One of the main consequences of our contextual probabilistic reconsideration of foundations of quantum mechanics is that interference can be explained without wave-particle duality.
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