Explosion hazard of local space deformation

Introduction. The analysis of the explosion hazard of local changes in the time course in the Earth’s atmosphere (Poletaev, 2024) contributed to the development of relativistic research in the field of ensuring fire and explosion safety of facilities. The analysis was based on the dependence of the clock rate on the position of the clock in a uniformly accelerated reference frame (Einstein, 1907). It is reasonable to assume that local changes in the course of time are accompanied by local deformation of space (a visually observable change in the length of the ruler), which also becomes a sign of the appearance of local explosion hazard.

Problem statement and solution. The problem of the relationship (for a distant observer) of the relative changes in the movement of the clock and the length of the ruler associated with the clock, as they move in a homogeneous gravity field, is posed and solved. The basis of the solution was the law of equality of inert and heavy mass or correction of Newton’s law of gravitation, which allowed using a mathematical pendulum to establish the desired relationship. It is shown that, to the first approxi­mation, the relative change in the length of the ruler is twice as large as the relative change in the movement of the clock (hereinafter referred to as the correction ration).

Discussion of the results and conclusions. Changes in the local area of the Earth’s atmosphere are characte­­ri­zed by an increase (decrease) in pressure in the case of a decrease (increase) in the length of a standard ruler placed in this area. Significant (by orders of magnitude) explosive local pressure changes occur with a relative change in the length of the ruler in the range of ± 2×10–12. It is noted that the obtained correction ratio makes it possible to calculate, in a first approximation, some effects of the theory of gravity, for example, the angle of refraction of a ray of light by a heavy mass or correction of Newton’s law of gravitation, without involving the known equations of the gravitational field (Einstein, 1915).

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