Physics – Quantum Physics
Scientific paper
2010-10-25
Physics
Quantum Physics
7 pages, no figures
Scientific paper
Can the ancient, philosophical concept of determinism, be formally translated into a scientific hypothesis, and finally be confronted with experiments? Are deterministic predictions, as expected, in contradiction with Quantum Mechanics, so that they can be quantified and eventually ruled out? After remarking that determinism and realism correspond to different concepts, we discuss these ideas in the present paper, and show an example where such contradiction appears. We consider a simple quantum system and its environment, including the measurement device, and make the assumption that the time evolution of this enlarged system is deterministic, i.e., its time evolution is given by a dynamical trajectory characterized by some initial conditions. Starting from the fact that the system responses are reproducible, and modulo the absence of any conspiracy, we prove a type of Bell inequalities in time, which are violated by Quantum Mechanics. We compare this result with similar previous results from other authors. We also discuss other types of proposed or past experiments, where determinism can be tested. We show how true random numbers could be obtained from the application of the above ideas.
Lapiedra Ramon
Perez Adriana
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