Quantum relativistic action at a distance

Josep Llosa

Christopher Dewdney, Peter Holland, Anastasios Kyprianidis +1 more

We analyze the causal quantum behavior of two charged spinless particles having different masses interacting via an action-at-a-distance relativistic scalar Coulomb potential. Developing de Broglie's idea of splitting the potential energy between the particles, we show that the predictivity constraints of relativistic predictive mechanics established by Droz-Vincent and Sudarshan are satisfied. In this way we develop a relativistic theory of hydrogenlike atoms in the framework of the causal interpretation of quantum mechanics.

N. Vivian Pope, Anthony D. Osborne

It is popularly believed that there is some strange disparity between quantum physics and physics generally, that whereas ordinary physical interaction takes time to travel, at speeds up to the finite limit c, quantum interaction (action-at-a-distance) is instantaneous, regardless of distance. We shall demonstrate that there is nothing paradoxical about this situation, by proposing a new phenomenalistic approach to relativity in which the 'photon' ceases to be a space-travelling action-capsule and becomes, instead, an irreducible element of those informational timesequences out of which the phenomena of distance and motion are observationally projected.

Marie Curie

Relativistic constraints on the behaviour of a system of N scalar particles correlated by causal many-body actions at a distance interactions are analysed in relativistic and quantum mechanics. It is shown I) that the many-body quantum potential associated to the stochastic interpretation of quantum mechanics yields perfectly causal actions at a distance 2) thar the cor­ responding set of distinguishable particle motions corresponds to Bose-Einstein statistics.