Tangled in entanglements (1006.0463v1)

Abstract: Two well-known conceptual conundrums of quantum mechanics referred to as instantaneous action-at-a-distance and inseparable wave-particle character are tackled using the principle of least action. Since any measurement is an action, it is reasoned that the spin of a particle just as the polarization of a photon remain indetermined for the observer until at least a quantum of action flows from the object to the observer. The detection places the quantity in question in the observer's frame of reference. This reference frame for one photon will instantaneously apply also to the polarization of the other photon provided that the two photons have not been perturbed ever since the correlated pair emerged from a radiative decay. The wave-particle duality of a single photon or an electron, that the double-slit experiment demonstrates, can also be understood in terms of actions. The energy density difference between the source of particles and their sink at the detector is a driving force that will cause flows of energy densities such as photons or electrons to propagate down along the paths of least action. Since no space is empty of energy density, the propagating particle as a flow of density will invariably perturb surrounding densities. When the driving density difference including the perturbation is leveling off via two or more paths, the ensuing flows of densities depend on each other. Therefore the flows through the two slits can never be separated from each other which will manifest as the inseparable particle-wave character. Keywords: action-at-a-distance; double slit experiment; energy dispersal; evolution; quantum paradoxes; the principle of least action