Alternative numerical systems
Zayko Yuriy
Russian Presidential Academy of National Economy
and Public Administration,
Stolypin Volga Region Institute
Saratov, Russia
Abstract
The article is devoted to the construction of numerical systems, alternative to the system of real numbers and applicable in curvilinear space-time. Examples of such systems are given. Within the framework of a stationary numerical system, it is admissible to sum the diverging series like the Dirichlet series for the Riemann zeta function without resorting to its analytic continuation in the plane of the complex argument. In the framework of a non-stationary numerical system, a description of the Hubble effect is obtained, taking into account the corrections that correspond to the apparently accelerated recession of galaxies without invoking the hypothesis of dark energy.
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Zayko Yuriy
Russian Presidential Academy of National Economy and Public Administration, Stolypin Volga Region Institute
Russia
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