Alexander Shalyt-Margolin. The Equivalence Principle, Cosmological Term, Quantum Theory, and Measurability
Natural Sciences / Physics / Quantum field theory
Submitted on: Nov 20, 2018, 01:29:06
Description: The first part of this paper is devoted to analysis of the applicability limit of Einstein's Equivalence Principle (EP). It is noted that a natural applicability limit of this Principle, associated with the development of quantum-gravitational effects at PlanckâE™s scales, is absolute, its more accurate estimation being dependent on the processes under study and on the sizes of the corresponding particles. It is shown that, neglecting the applicability limit of EP, one can obtain senseless results on estimation of the relevant quantities within the scope of the well-known Quantum Field Theory (QFT). Besides, such neglect may be responsible for ultraviolet divergences in this Theory. In the second part of the work the author presents the general principles and mathematical apparatus for framing QFT in terms of the {bf measurability} notion introduced by the author earlier. In such QFT in the general case it is expedient to indicate the energy regions, where EP is valid and where it loses its force, in an effort to find a natural solution of the ultraviolet divergences problem in this theory that at low energies is very close to the initial well-known QFT.