HYPOTHETICAL TIME-TEMPERATURE DUALITY AS A HINT FOR MODIFICATIONS IN QUANTUM DYNAMICS

The well-known formal analogy between time and absolute temperature, e xisting on the quantum level, is considered as a profound duality rela tionship requiring some modifications in the conventional quantum dyna mics. They consist of tiny deviations from uniform time run in the phy sical spacetime, as well as of tiny deviations from unitary time evolu tion characteristic for the conventional quantum theory. The first dev iations are conjectured to be produced by local changes of total avera ge particle number. Then, they imply the second deviations exerting in turn influence upon this particle number. Two examples of the second deviations are described: hypothetic tiny violation of optical theorem for particle scattering, and hypothetic slow variation of the average number of probe particles contained in a sample situated in proximity of a big accelerator (producing abundantly particles on a target).