Relativistic Quantum Mechanics Based on the Equation of Motion md²r/dt² = F(1 - (v/c)²).

Daniel Rohrlich, Sandu Popescu

Quantum mechanics and relativistic causality together imply nonlocality: nonlocal correlations (that violate the CHSH inequality) and nonlocal equations of motion (the Aharonov-Bohm effect). Can we invert the logical order? We consider a conjecture that nonlocality and relativistic causality together imply quantum mechanics. We show that correlations preserving relativistic causality can violate the CHSH inequality more strongly than quantum correlations. Also, we describe nonlocal equations of motion, preserving relativistic causality, that do not arise in quantum mechanics. In these nonlocal equations of motion, an experimenter ``jams" nonlocal correlations between quantum systems.

F. Coaster

shoichiro otsuka

In this paper, I show the solution I gave in the previous paper is compatible with ordinary relativistic and non-relativistic Quantum Mechanics.

В. М. Симулик, I.Yu. Krivsky

The foundations of the relativistic canonical quantum mechanics of a fermionic doublet on the basis of the Schrodinger–Foldy equation of motion are formulated. A brief review of the different ways of the Dirac equation derivation is given. The Dirac equation is derived from the Schrodinger–Foldy equation of the relativistic canonical quantum mechanics. It is shown that our model does not need applying of the negative mass concept of the antiparticle.

Günter Ludyk