PHYSICAL PRINCIPLES OF QUANTUM GYROSCOPY

N.M. Pomerantsev, G. V. Skrotskiǐ

E. S. Shcherbina

Pablo J. Arrighi, Gilles Dowek B

As was emphasized by Deutsch, quantum computation shatters complexity theory, but is innocuous to computability theory. Yet Nielsen and others have shown how quantum theory as it stands could breach the physical Church-Turing thesis. We draw a clear line as to when this is the case, in a way that is inspired by Gandy. Gandy formulates postulates about physics, such as homogeneity of space and time, bounded density and velocity of information — and proves that the physical Church-Turing thesis is a consequence of these postulates. We provide a quantum version of the theorem. Thus this approach exhibits a formal non-trivial interplay between theoretical physics symmetries and computability assumptions.

Yu. S. Vladimirоv

In the work indicated are, firstly, three main reasons for revision of prevailing ideas about physical reality: inadequacy of the classical space-time in microworld physics, unsuccessful attempts to combine the principles of quantum theory and general relativity and, above all, the presence of the third physical paradigm - relational one. Secondly, shown are the constituents of the latter requiring the use of key metaphysical principles, and thirdly, they have been formulated. Fourthly, the mathematical formalism reflecting the unity of three metaphysical principles has now been proposed. Its foundations were laid in the theories of physical structures by Yu.I. Kulakov et al. Finally, fifthly, shown are basic results of applying the theory of binary systems of complex relations to solve the problems of microworld physics.

Claude Fabre