BHL-singularity (or Belinsky-Khalatnikov-Lifshitz singularity) is a non-trivial, chaotic and dynamic solution of the Einstein gravity equation for a homogeneous, closed, but anisotropic universe with a 3-spherical topology (IX cosmological model according to Bianchi classification). This singularity is the most realistic possible, is formed during the collapse of the universe in the process of the "Big Crunch" and in the bowels of black holes. BHL-singularity is characterized by chaotically oscillating in time tidal forces of gravity near it.
Since gravity is a phenomenon of curvature of the space-time field in the presence of mass or energy according to Einstein's general theory of relativity, in addition to flexibility and elasticity, the space-time field also has viscosity, since rotating black holes can twist it into a space-time vortex. Also, the curvature of the space-time field has its own limit, at the intersection of which the curvature will be self-increasing, in other words, the curvature will be generated by the curvature itself, and not by the presence of superdense matter. This face is the critical Oppenheimer – Volkov limit, in other words, when the core of a supermassive star collapses into a black hole, then before the intersection of this limit the space-time field is curved by matter, but after the Oppenheimer – Volkov limit intersects, the curvature will increase due to the curvature itself, and if even in theory, to remove the matter of the nucleus after crossing this face, the curved field of space-time will not “leap out” aligning, but will continue to bend further.
It is known that during the collapse of the core of a supermassive star, a black hole is formed, and in its depths the curvature of the space-time field becomes so strong that all matter is compressed to a point with infinite density and zero volume. If any object begins to fall freely into such a black hole, then it will undergo spaghettification, that is, its side closer to the center of the black hole will pull more than the side that faces the event horizon, and this will lead to uniform stretching in the radial direction and compression in the transverse, up to the fact that the object stretches into an infinitely thin "string". The object will be drawn into a singularity, but the real laws of physics do not allow anything to be infinite in the real universe, in other words, only gravity can describe the gravitational singularity - the result of the merger of the general theory of relativity with quantum mechanics. The gravitational singularity uniformly stretching by its tidal forces was found in the calculations of Robert Oppenheimer and Hartland Snyder, but it is idealized, without taking into account random perturbations, that is, when calculating the collapsing core and the whole star were simplified, without taking into account the rotation, the uneven distribution of matter, shock waves, density difference, radiation, as well as a slightly asymmetric shape of the nucleus and star. Three Soviet theoretical physicists, Isaac Khalatnikov , Yevgeny Lifshits and Vladimir Belinsky found out that these disturbances radically affect the geometry and dynamics of the gravitational singularity. Random perturbations of the matter of the nucleus, even before the formation of the event horizon during the collapse of a supermassive star, create an asymmetric deformation of the space-time field, because it is still curved by matter, but after the occurrence of the event horizon, the unevenly curved field of space-time will continue to curve itself more and more, matter no longer affects the course of collapse. For a better description of the essence of the picture, the space-time of the universe is more convenient to present in the form of a hyperplane, which is also a brane of the universe. The space-time field itself will be pressed through with a crushing speed ever closer to light, and uneven curvature will create an asymmetric distribution of the gravitational stresses of the field curvature along three axes, this will lead to the effect of "swaying" of the collapsing space-time field along the process of forcing down. The flexibility, elasticity and viscosity of the field (justified by Einstein's theory of relativity) will play a role, and the chaotic swings, which can be called oscillations of the squeezed field, will be stronger, the amplitude and frequency will increase, because they are fed by the energy released by the huge speed of the squeezed down field, the matter of the star’s core and the substance just drawn in by a black hole will burst in oscillations of the tidal forces of gravity. Behind will remain a deformed zone of curvature of the field of the space of time, which can be called a zone of increasing gravitational turbulence. The chaotic oscillations of the curvature of the space-time field will reach their extremum at the point of singularity, but they will contract rapidly, leveling out, but since the field has flexibility and elasticity, in addition to viscosity, the strain contractions will be oscillatory in nature. Relatively quick alignment of deformations will be greatly inhibited from the point of view of an external observer, since time inside a black hole slows down for him. Thus, I. Khalatnikov, E. Lifshits, and V. Belinsky showed that in a newborn black hole, incident material will be torn apart by tidal forces of the BHL type.
A hypothetical spacecraft falling into a newborn black hole will fall down, accelerating more and more in the region of space-time curvature turbulence dynamically increasing to extreme values (gravitational turbulence). In this case, we must take into account the fact that the “mass-inflationary singularity” (found by Werner Israel and Enrik Poisson) will not fall on top of the apparatus. The space as it falls down will become stronger and faster, randomly stretch and contract, destroying the apparatus, tearing it apart, while its fragments relative to each other will be cut off from the field of view in the oscillating “cells” of space-time curvature. The debris will continue to burst as well, as the frequency and amplitude of the oscillations increase, and ultimately they will be burst into elementary particles, which will appear in such an extreme region of oscillation of the curvature of space-time, where the frequency is likely to be much larger than the unit divided on the Planck length (Hz). In this area, all processes occur so quickly that temporary certainty is lost, and space turns into a microwave foam, which will “work” on the principles of probability theory - this is the gravitational singularity, which is a microwave quantum probability foam, and from particles the ship is supposed to remain only “bare mass / energy”. Similar oscillations of the BHL type are also called “mixer” because they break and mix matter.