EPR Paradox and the Physical Meaning of an Experiment in Quantum Mechanics
Vesselin Noninski
Abstract
It is shown that there is one purely deterministic outcome when measurement is made on the state function chosen by EPR to describe the combined two-particle system – the distance between the two particles is preserved the same. Further, it is shown that, surprisingly, the Ψ-function designed according to QM leads to the following paradox – despite the fact that the two particles move in opposite directions, in time the distance between them becomes shorter and shorter. As is known, Einstein, Podolsky and Rosen (EPR) [1] observe two particles which have interacted in the past (for 0 Tt< <) but the interaction between them has ceased for times Tt>. Nevertheless, both particles, even at times Tt> EPR consider to be described by one common state-function, namely 1 2 ( ,)x xΨ. The authors have chosen to explore one particular form of that state-function, namely ( ) 1 2 01 2 (), i x x x pdpex x − −Ψ = ∫ =. (1) This function may be rewritten as ( ) 2 0 11 2 (), i ix x p x pdpe ex x − +Ψ = ∫ = = (2) and then 1 i x p e = can be considered as the orthonormal basis of an observable A pertaining to particle 1 (position of particle 1) while the exponents