In articles [1–7] it was shown the absence of a theoretical grounds for the so‐called Unruh effect and papers [8,9] showed the same about black hole evaporation phenomenon. The present paper offers a short description of the content of these works and represents a synopsis of the lectures delivered by the author at XII Brazilian School of Cosmology and Gravitation in Rio‐de‐Janeiro at September 2006.

For the reader interested in a general understanding of the essence of the problem the paper is complete and self‐consistent. For those who would like to study the question in details would be reasonable to become familiar also with the aforementioned original works and some of the literature cited there. However, it should be stressed that there is no need to look for all papers [1–9] as they partially over‐cross each other. To get complete information on our results the study of articles [4–7] and [9] would be enough.

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