Ptolemyness of conventional program for microcosm investigations and alternative research program

It is shown that the conventional approach to microcosm investigations uses an incorrect supposition (incorrect space-time model) whose incorrectness is compensated by means of additional hypotheses, known as quantum mechanics principles. Such a conception reminds the Ptolemaic doctrine of celestial mechanics. Alternative research program, which uses a more correct space-time model and does not need additional hypotheses (quantum principles) for free explanations of quantum effects, is suggested. If the more correct space-time model were known in the beginning of XXth century, when research of microcosm started, quantum mechanics could develop in other way. The alternative research program appeared with a secular delay, because all this time the necessary mathematical technique was not available for researchers. Absence of necessary mathematical technique is connected with some prejudices which have been overcame at the construction of new conception of geometry and that of statistical description. Basic statements of the new mathematical technique and principles of its application in alternative research program are presented in the paper.