Alternative numerical systems

Alternative numerical systems

Journal of Nature, Science & Technology (JANSET)
Volume 1 - Issue 3 - July 2021

Yuriy Nikolaevich Zayko


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 to 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


Riemann zeta function; Einstein equations; space-time curvature; redshift; Hubble's law