Causality in quantum physics, the ensemble of beginnings of time, and the dispersion relations of wave function

Details Causality in quantum physics, the ensemble of beginnings of time, and the dispersion relations of wave function Causality in quantum physics, the ensemble of beginnings of time, and the dispersion relations of wave function

2010-11-23

arxiv.org/abs/1011.5195v1

Physics

Quantum Physics

25 pages, 4 figures

Scientific paper

In quantum physics, disturbance due to a measurement is not negligible. This requires the time parameter $t$ in the Schr\"odinger or Heisenberg equation to be considered differently from a time continuum of experimenter's clock $T$ on which physical events are recorded. It will be shown that $t$ represents an ensemble of time intervals on $T$ during which a microsystem travels undisturbed. In particular $t=0$ represents the ensemble of preparation events that we refer to as the ensemble of beginnings of time. This restricts $t$ to be $0\leq t<\infty$. But such a time evolution of quantum states cannot be achieved in the Hilbert space $L^2$ functions because due to the Stone-von Neumann theorem this time evolution is given by the unitary group with $t$ extending $-\infty

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