Space and Time in Quantum Theory

Tomislav Živković
Institute Ruđer Bošković, Zagreb


Quantum space $\tilde{E}_3$ associated with the classical three-dimensional space $E_3$ is much larger than this classical space. However, under normal conditions all subsystems $S_i$ of some large system $S$ assume to a very good approximation relative to each other classical relations. Therefore, from the point of view of each of those subsystems, all other subsystems have classical appearance. This applies to the case when mutual interactions between those subsystems are velocity independent and when the energies of those subsystems are relatively small. Those are usually the conditions of the systems in our vicinity. In particular, gravitational interactions between celestial bodies are mainly velocity independent. Explicit quantum transformations of macroscopic bodies are hence to be expected in the systems relatively far from our solar system. In particular, since magnetic interactions are velocity dependent, the systems subject to strong magnetic fields could provide evidence for such quantum transformations. An experiment is suggested how those effects could be detected. This experiment is based on a new spectroscopic method which may detect some spectral properties which are not detected by currently standard spectroscopic methods. Therefore this method could be used as a new spectroscopic tool to provide a more detailed information about far celestial bodies.