6 papers
The continuum problem and reality
O. Yaremchuk
Set-theoretical, physical, and intuitive notions of continuum are compared. It is shown that the independence of the continuum hypothesis determines status and properties of the se…
Real continuum
O. Yaremchuk
Some physical consequences of the negation of the continuum hypothesis are considered. It is shown that quantum and classical mechanics are component parts of the multicomponent de…
Quantum mechanics and the continuum problem (with referee reports)
O. Yaremchuk
It is shown that Feynman's formulation of quantum mechanics can be reproduced as a description of the set of intermediate cardinality. Properties of the set follow directly from th…
Quantum mechanics without interpretation
O. Yaremchuk
It is shown that the independence of the continuum hypothesis points to the unique definite status of the set of intermediate cardinality: the intermediate set exists only as a sub…
Quantum mechanics and the continuum problem(II)
O. Yaremchuk
In one-dimensional case, it is shown that the basic principles of quantum mechanics are properties of the set of intermediate cardinality.
Quantum phenomenology and the Continuum Problem
O. Yaremchuk
A new approach to quantum mechanics based on independence of the Continuum Hypothesis is proposed. In one-dimensional case, it is shown that the properties of the set of intermedia…