The book is a monograph based mainly on the ideas in an article presented at the 3rd Annual International Conference on Physics, 20-23 July 2015, Athens, as well as other 3 articles published by the author in "Applied Physics Research" of the Canadian Center of Science and Education.The problem with the constancy of the speed of light must be concerned in two aspects. We must become aware, first of all, that the space is stationary, and this is a consequence of Newton's law of universal gravitation because space has no mass and the gravitational forces do not affect the space: F=G(m1.m2 )/r 2).The misunderstanding of the dominant part of the physical society consists in the fact that the contraction (warping) of space moves along with the celestial bodies, but the space remains stationary The first aspect of the problem with the constancy of the speed of light concerns the speed of light in vacuum, that it depends on the intensity of the gravitational field, was proven experimentally in 1964 by American astrophysicist Dr. Irwin I.Shapiro.The second aspect of the problem concerns the velocity of light in moving frames of reference in a local time-spatial domain with a uniform intensity of the gravitational field.Part I presents an analysis (based on the classical mechanics and Galilean relativity, which are indisputably valid and lawful in our local time-spatial domain "on the Earth's surface") of all "unexpected" and "inexplicable" results of the most famous experiments related to the behavior and measurement of the speed of light. Sagnac experiment, Michelson-Gale-Pearson experiment, and the light speed anisotropy at the "One-way measurement of the speed of light" are analyzed. They actually demonstrate that the velocity of light is not the same in all inertial frames of reference. The analysis of the "Michelson-Morley experiment" proves that the inappropriate conceptual design of Michelson's interferometer is actually the primary root cause for the delusion that "the speed of light is the same in all inertial frames of reference", which is the core of the special theory of relativity.Part II contains the main scientific contribution of this monograph - a factual concept of physical reality in the Universe: "Model of Uncertainty of the Universe" that explains the delusion that the speed of light in vacuum is constant for the whole Universe. The presented "Thesis about the behavior of the electromagnetic radiation in the gravitational field" replaces the "postulate of the constancy of the speed of light".Part III of the book shows the analysis, revealing the essence of the article "On the Electrodynamics of Moving Bodies", where the special relativity was published. The analysis shows exactly where and how the false claim "the speed of light is the same for all inertial frames of reference" was applied. Part IV of the book "What is Truth and Proof in Science?" unveils the most common objectionable techniques used in the "fundamental tests" of the special theory of relativity. Besides the fully fabricated tests, one of the most used techniques is the "liar paradox". For example, using this trick, Kurt G del demonstrated the "Theorems of Incompleteness" that the "truth" value of a statement cannot be evaluated by reference to a previously accepted value of the statement itself (self-referring).Some of the existing misconceptions in modern physics are also shown in this part of the book.In fact, there are two problems: THE FIRST PROBLEM arises before the reader decides to read the book - they think that the special theory of relativity is too complex for them.THE SECOND PROBLEM would arise after they have read the book. Then, they would see that the source of "incomprehension" is actually the inconsistency of the special theory of relativity with the physical reality But then one would say: "This delusion cannot be so obvious. If so, why it has been maintained by modern physics for more than 100 years?"

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