Spatio-Temporal Milky Way Grid for Finding Fermi Paradox Solution. Proceedings of the International Conference “Scientific research of the SCO countries: synergy and integration”. March 10, 2023. Beijing, PRC. ISBN 978-5-905695-82-7, pp.138-145.

Abstract

The paper considers the problem of spatio-temporal modeling of the Galaxy and the computational approach for a solution to the Fermi paradox. A sequence of operations for creating the Milky Way grid model MWG has been developed. It includes star sites, tetrahedral meshes and a volume grid with interpolation blocks. The nearest galactic block of the solar neighborhood by size of 〖10〗^3 ly is constructed based on the astronomical data from the Gaia satellite telescope catalog. In parallel a stochastic Monte Carlo model is used for the same region, and its stellar composition and distribution density is adjusted to fit astronomical data. Extrapolation to the rest of the MWG model with 〖10〗^6 blocks is performed taking into account the peculiarities of its spiral structure and volume inhomogeneities for the galaxy habitable zone GHZ.
An equation for the convolution of birth and death functions is proposed with the inclusion of an evolution filter calculated in accordance with the spectral composition of stars. Finding the shortest paths and optimal communications between remote planetary systems is proposed to be computed both on a tetrahedral grid and on a uniform block model. The results are aimed at evaluating the existense of biospheres and technospheres for the SETI programs which should be targeted to the potential habitable ring loci inside the Galaxy disc.