TITLE:
Discussion of the Book “The Quantum Challenge”
AUTHORS:
Pavel A. Stabnikov
KEYWORDS:
Quantum Mechanics, The Unattainability of the Infinitely Small, Interference
JOURNAL NAME:
Natural Science,
Vol.11 No.11,
November
6,
2019
ABSTRACT: Modern but not entirely
coordinated foundations of quantum physics are described in the book “The
Quantum Challenge”. The difficulties and philosophical problems of this area of
science are discussed. Discussions of many great scientists who paved the
foundations of the physics of micro-world are described. These discussions are
still urgent. The diversity of interpretations of the wave function, light
interference, uncertainty principle, complementarity and completeness of
micro-world description are stressed in this book. Difficulties and problems of
quantum mechanics described in this book allowed the author of the present
communication to propose a new approach based on the infinitely small metrics
The difference of infinitesimals in two geometries allows one to explain W.
Heisenberg’s uncertainty principle. Interconnection of the images in these
geometries is possible with the help of Weierstrass integral transform. This
approach allows one to describe the interference of light behind the screen
with slits as a sum of the corpuscular component (Weierstrass transform) and
the wave component (Fourier transform).