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Journal of Applied Mathematics and Computation

ISSN Print: 2576-0645 Downloads: 146185 Total View: 1802040
Frequency: quarterly ISSN Online: 2576-0653 CODEN: JAMCEZ
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Article Open Access http://dx.doi.org/10.26855/jamc.2022.12.012

The Analysis of Action Mechanisms of Black Holes

Evgeni Nikolaevich Terentiev1,*, Fedor Vasilievich Shugaev1, Nikolay Evgenievich Shi-lin-Terentyev2

1Department Mathematical Modelling and Informatics, Faculty of Physics, M.V. Lomonosov Moscow State University, Moscow, Russia.

2EPAM Systems, Moscow, Russia.

*Corresponding author: Evgeni Nikolaevich Terentiev

Published: January 14,2023

Abstract

Modern methods for solving inverse problems (such as a system of linear equations Y =AX or Fredholm integral equation of the 1st kind) proceed from the fact that Apparatus Function (AF) A is known. For example, statements about the applicability of the regularization method in astronomy look quite strange, when arguments are made about the smoothness of solutions X associated with regions of the starry sky. In this paper, we present the results of a new mathematical method, which we have called the Mathematical Microscope (ММ). For the Event Horizon Telescope (EHT), the Antenna Pattern (AP) can only be said to correspond to a large telescope with an approximate aperture size. The paper presents the results of Super-Resolution from two EHT with accurate estimates of their AP or AF. MM has one drawback; it is very difficult to implement. In order for MM to be widely used, it is necessary to develop Artificial Intelligence for automatic accurate selection of AF with an analysis of the neighborhoods of individual (pixel) points in Super-Resolved X images.

References

[1] Tikhonov, A.N., Ufimtsev, M.V. (1988). Statistical processing of experimental results, ed. Moscow University Press, (in Russian).

[2] https://www.eso.org/public/images/eso1907a/.

[3] Terentiev, E.N., Terentyev, N.E. (2015). // Izvestia RAN, PHYSICAL SERIES, volume 79, № 12, pp. 1633-1637 (in Russian).

[4] Terentiev, E.N. and Terentiev, N. E. (2015). //ISSN 1062-8738, Bulletin of the Russian Academy of Science. Physics, Vol.79, No 12, pp.1427-1431, DOI 10.3103/S1062873815120229.

[5] Terentiev, E.N., Terentyev, N.E., Pirogov, Yu.A, Farshakova, I.I. (2017). // SCIENTIFIC NOTES OF THE PHYSICAL FACULTY, 9 p., №6, 1761005 (in Russian).

[6] Terentiev, E.N., Terentiev, N.E., Farshakova, I.I. (2019). // DOI: 10.1007/978-3-319-77788-7_19.

[7] Terentiev, E.N., Shilin-Terentyev, N.E.(2018). // doi.org/10.1007/978-3-030-11533-3_44.

[8] Terentiev, E.N., Farshakova, I.I., Prikhodko, I.N., Shilin-Terentyev, N.E. (2019). //doi: 10.11648 /j.sjams.20190705.12, ISSN: 2376-9491 (Print); ISSN: 2376-9513 (Online).

[9] Terentiev, E.N., Farshakova, I.I., Shilin-Terentyev, N.E. (2019). // http:// www.sciencepublishinggroup.com /journal/ paperin-fo?journalid=301&doi=10.11648/j.ajaa.20190703.11

[10] Terentiev, E.N., Prikhodko, I.N., and Farshakova, I.I. (2019). // Concept of mathematical microscope, AIP Conference Proceedings 2171, 110010; https://doi.org/10.1063/1.5133244

[11] The Event Horizon Telescope Collaboration, First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole, The Astrophysical Journal Letters, 875:L1 (17pp), 2019 April 10, https://doi.org/10.3847/2041-8213/ab0ec7.

[12] Bouman, Katherine L., Johnson, Michael D., Zoran, Daniel, Fish, Vincent L., Doeleman, Sheperd S., Freeman, William T. (2016). "Computational Imaging for VLBI Image Reconstruction": 913–922. arXiv:1512.01413, , doi:10.1109/CVPR.2016.105,,  hdl:1721.1/103077. Cite journal requires |journal= (help).

[13] Terentiev, E.N., Shugaev, F.V., Shilin-Terentyev, N.E. (2022). Mathematical Microscope in the Analysis of Action Mechanisms of Black Holes, Eight International Scientific Conference-School for Young Scientists Physical and Mathematical Modeling of Processes in Geomedia, Moscow, IPMECH RAS, October 12-14, 2022, Proceedings, pp. 17-20.

[14] Terentiev, E.N., https://orcid.org/0000-0003-1024-2575.

[15] Astronomy&Astrophesics, Orbital motion near Sagittarius A*, (22 sept, 2022) https://doi.org/10.1051/0004-6361/202244493.

How to cite this paper

The Analysis of Action Mechanisms of Black Holes

How to cite this paper:  Evgeni Nikolaevich Terentiev, Fedor Vasilievich Shugaev, Nikolay Evgenievich Shi-lin-Terentyev. (2022) The Analysis of Action Mechanisms of Black Holes. Journal of Applied Mathematics and Computation6(4), 499-507.

DOI: http://dx.doi.org/10.26855/jamc.2022.12.012