arXiv subjects
Publications and source records attributed to Mehdi Golshani.
One of the basic peoblems of quantum cosmology is the problem of time. Various solutions have been proposed for this problem. One approach is to use the Bohmian time. Another Approach is to use the probabilistic time which was recently introduced by Castagnino. We consider both of these definitions as generalizations of a semi-classical time and compare them for a mini-super space.
It is argued that the quantal behaviours may be understood in the framework of direct particle interactions. A specific example is introduced. The assumed potential predicts that at sufficiently large distances quantal behaviours arise, while at very large distances gravitational-like forces are present. The latter is true provided all particles have internal structures.
It is shown that the retarded Bohm's theory has at least four novel properties. (1) The center of mass of an isolated two-body system is accelerated. (2) Hydrogen-like atoms are unstable. (3) The distribution function differs from the standard one. (4) The definition of energy needs some care.
We show that the problem of superluminal motion in causal, particle interpretation of bosonic fields is not observable at macroscopic distances.
It is always stated that the position operator for massless particles has non-comutting components. It is shown that the reason is that the commutation relations between coordinates and momenta differs for massive and massless particles. The correct one for massless particles and a position operator with commuting components are derived.
In the extension of the de-Broglie-Bohm causal quantum theory of motion to the relativistic particles, one faces with serious problems, like the problem of superluminal motion. This forces many authors to believe that there is not any satisfactory causal theory for particles of integer spin. In this paper, it is shown that the quantal behaviour is the result of direct-particle-interaction of the particle with all of its possibilities. The formulation is, then, extended to the relativistic particles of arbitrary spin. The presented theory has the following advantages. (1) It leads to a deeper understanding of the quantal behaviour. (2) It has no superluminal motion. (3) It is applicable to any spin. (4) It provides a framework for understanding the problem of creation and annihilation of particles. (5) It provides a framework for understanding the spin-statistics relationship. (6) It does not need the two fundamental assumptions of the de-Broglie-Bohm quantum theory of motion, i.e., the guiding-formula postulate and the statistical postulate.