Crazy Enough to Be True?

    According Einstein and in agreement with recent approach of S. Weinberg, it must be ‘something’ in the outer space that parallels the quantum wave function Psi(x, y, z) in places where it is not zero. In terms of classical physics this something must be described by the metaphor “nonlocal”.  

Is it possible to answer the question “what may it be” in the framework of the theoretical ideas already developed in the history of quantum mechanics? Probably, the answer is yes. It is by analogy with Dirac’s initial strange physics-philosophical solution of the negative energy states of the newly discovered relativistic Dirac equation.

    Dirac suggested that there exists a sea of negative energy electrons completely ‘packed’ in the spirit of Pauli’s exclusion principle, and that the ubiquitous many-electron negative energy sea is not observable in physics, it is a quantum state of physical ‘vacuum’ by definition. Observable are only positive energy electrons beyond the vacuum and also holes (unoccupied negative energy states) in the vacuum. Since vacuum is unobservable, the perceived by observers physical events are the ones described by that formal scheme after math subtraction of the negative energy vacuum - one positive energy electron in the first case, and one positive energy positron in the second case. This initially weird approach is later developed in a consistent particle-antiparticle quantum field theory -- Dirac’s idea of unobservable sea of negative energy electrons was the crazy enough initial breakthrough to the physical truths of antiparticles.  

    By analogy, the appropriate solution to the mentioned above Einstein problem may be the Dirac-Pauli vacuum of negative energy Fermi-particles: electrons, etc. In particular, one positive energy electron should be considered existing not in emptiness, but in a Dirac vacuum. According to Pauli’s quantum identity principle, the positive energy electron and the negative energy electron sea are one topological invariant under particle exchange quantum system without physical meaning of particular individual particle states in space. In terms of classical physics it means one-particle nonlocality; in quantum physics terms it means one whole quantum topological state of identical particles.  

    Thus, the mentioned above ‘something’ that parallels the quantum WF in real 3-space is the ubiquitous negative energy Dirac vacuum plus Pauli’s quantum indistinguishability of equal type particles.

    After subtraction of the Dirac vacuum, the possible classical description (not complete) of a positive energy electron emerges, but with a new substantial contradictory metaphor – it is not local in 3-space, which is a reminder that inner particle physics is quantum mechanics, not classical one.

    The outlined relation between quantum mechanics and classical physics and geometry may describe many different basic phenomena in quantum mechanics such as nonlocal particle interpretation by WF, wave function collapse, entanglement nonlocality etc.


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