The majority of theoretical misconceptions and the most significant misunderstandings in modern astronomy, cosmology and physics are caused by a purely mathematical approach and ignoring philosophical comprehension of physical reality and, as a result, by not deep enough understanding of the essence of certain physical phenomena and objects. Foremost, it's all about phenomena and objects that are under consideration by Special and General Relativity. Author have analyzed historical roots of discussed here misconceptions and misunderstandings and have shown the possible ways to overcome them. Such constructive approach gives us the hope for getting rid of the majority of revealed here misconceptions and misunderstandings. Unfortunately, this is the problem of not only the astronomy and cosmology, but also of physics in general. Our perception and reflection of physical reality is still very primitive and, foremost, mainly mechanistic, macrocentric and anthropo-limited. The unreality of black holes, Big Bang, non-baryonic dark matter, dark energy, photons and neutrinos is justified in details. The current usage of exponential scale instead of metrically homogeneous scale of cosmological time in cosmology is shown. Therefore, the ignorance of the fact that only the infinitely far cosmological past on the event horizon and infinitely far cosmological future on Schwarzschild sphere are simultaneous with any event in people’s world is shown. The ignorance of the fact that this pseudo-horizon covers the past of all infinite Universe is also shown. The possibility of existence of antimatter inside the neutron stars and quasars that have the hollow body topology and mirror symmetry of their intrinsic space is justified. The big redshift and long lasting high luminosity of quasars are explained. The spatio-temporal noninvariance of the gravitational constant and the fictiveness of Etherington's identity are proved. The absence of gravitational fields in the Universe up to the ...
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