Negative Probabilities and Heisenberg Uncertainty Principle

Negative Probabilities are responsible for single-particle interference and entangled qubit correlations. Feynman offered possible interpretations of how they may arise in the Quantum Mechanics of correlated qubits and how they may be helpful in general. He concluded that there is nothing wrong with Negative Probabilities and advised, “Why Bother” about not using positive probabilities.

Feynman suggested that Negative Probabilities in the case of the Wigner distribution for position and momentum are not observable because of the Heisenberg Uncertainty Principle. He gave an analogous example for qubits. Feynman did not question the validity of Quantum Mechanics. However, he failed to show what, or how, Negative Probabilities conveniently represent Positive Probability processes. If Negative Probabilities are indeed for convenience only, there must be a Positive Probability version of correlations and interference. Either Quantum Mechanics is wrong, or Negative Probabilities are physical. Feynman denies both possibilities.

Vigier and Terletskii claimed that Negative Probabilities have no physical meaning. They are quasi-distributions for computing averages, for example, charge density. The appearance of Negative Probabilities has no such simple explanation in the case of correlated qubits.  Vigier and Terletskii did not explain how Positive Probabilities are equivalent to Negative Probabilities in Quantum Mechanics.

The physics of Negative Probabilities and their equivalence to Positive Probabilities has been an open question. Corpuscular Quantum Mechanics resolves the mystery of Negative Probabilities by showing that they are mathematically equivalent to Positive Probabilities of the underlying corpuscular processes. It also shows that the Heisenberg Uncertainty Principle, the Complementarity Principle, and the Wave Particle Duality are all rationalizations of a missing correct theory of quantum phenomena. Corpuscular Ontology makes them superfluous, together with the claims of Negative Probabilities, as inherent mysteries of nature.