Discussion on the Problem of Eigenschaften in Quantum and Classical Mechanics

We argue that in contrast to the classical physics, measurements in quantum mechanics should
provide simultaneous information about all relevant relative amplitudes (pure states and the
transitions between them) and all relevant relative phases. Simultaneity is needed since measurement
changes the state of the system (in both quantum and in classical physics). We call that measurement
procedure holographic detection. Mathematically, it is described by a set of mutually commuting
selfadjoint operators that are similar and closely related to projections. We present explicit examples
and discuss general features of the corresponding experimental setup which we identify as the
quantum reference frame. There is no reason to expect that the picture obtained would not provide an
adequate image of the original object. It seems that now we are better equipped to formulate the
dynamic (relativistic) laws of quantum physics. Ultimately that should lead to deeper understanding of
the geometry of the space-time continuum.