Author : Deepak Loomba
ABSTRACT: Asymptotic space-time multi-dimensional structures are those towards which the space-time curvature tends endlessly but never touches. Thereby creating two separate worlds one outside/on-side and other inside/other-side of this asymptote. This could create very high stability threshold systems that could reach exceptionally high potential, owing to exceptionally low entropy of the asymptotic energy wall, that could indeed bear a whole universe. The uniqueness of my thesis lies in portraying asymptotic black holes as stable equilibrium systems with a high energy threshold that should be breached, before the stability is destroyed. The snap action beyond the threshold could lead to huge big bang like events. The higher uniformity in the wall, the higher the potential, that can be sustained in the system before it snaps. Thereby, providing a clue to the non-uniformity of universe.
I present my hypothesis on the possibility of variety of structures of blackholes.
Assuming structure of space curves around high density mass as in case of black holes. There are two possible cases, this curvature grows uniformly in all directions or non-uniformly.
Lets assume it grows uniformly. It can then be safely assumed that the change is curvature as one dwells towards the centre of mass, shall either grow incrementally to in quantum leaps.
Lets further assume that the growth is incremental (notwithstanding the rate of growth), which means that the space will not make steep 90degrees turn such that anything undergoing spaghettification shall never have a discrete 90degres angle in it in the process of spaghettification.
Therefore, an unquantized space shall spiral in and not cross the centre of mass. Which in other words means that there is no possibility of a spaghettized object to be spaghettized in such manner that it traverses through the centre then pointing away from the centre. Therefore, the spaghetti will always be moving towards the centre with higher velocity such that by the time it reaches close to centre it is only Energy having converted its entire mass.
Lets now assume that the curvature of space because of density and distribution of mass is such that the equation of curvature has a non-linear asymptote. A good example would be to imagine having drawn y=1/x on X-Y axis with Y=0 being the asymptote to the equation. Let us now change the curvature of the two dimensional space by introducing a third dimension (for ease of perceiving). Let us curve the paper or even fold it into a cylinder, such that the Y=0 is not a circle on this cylinder. Now look at the asymptote and the equation. The asymptote remains as it is an asymptote to a newer graph with additional dimension and is no more linear, but it still is an asymptote.
Therefore, there can be non-linear asymptotes. The abovementioned example is a relatively easy one. Indeed a sphere can also be an asymptote such that the graph tends to move closer and closer towards this sphere but never kisses it.
I therefore propose that under certain circumstances a black hole could have an internal event horizon as well, such that within this sphere there exists neither space nor time, as the curvature draws into a perfect sphere. Mass by the time it reaches close to this boundary while constantly enhancing its speed will convert into energy. On and inside this sphere there will be no space-time or mass.
What stops asymptotic blackholes to occur? According to me nothing.
Indeed, the singularity blackhole is an asymptotic blackhole, where the asymptotic sphere is one with one quanta radius (in quantized version) and zero radius in classical. While mathematically there could indeed by cylindrical asymptotic blackholes as well.
It is interesting to hypothesize what will be inside this hollow sphere? Assuming that by the time mass reaches the walls of the asymptotic blackhole, it would have disappeared from being a line with extending far (into this inward-spiral infinity) till it converts into energy, and hence the walls of this sphere will have no entropy. Distribution of energy in all directions will be equal. The space could either just no exist as nothing will breach this spherical wall or there could be co-spherical space inside as it will be pulled equally into all directions. But it will be unreachable, as there spaces will be like parallel universes with no leak from one into other. As the density of energy at the walls increases, the space inside will be in higher and higher tension* though the equilibrium of directions will maintain it stable. I am in knowledge of no physical or mathematical operator that could somehow provide description to this tension, but the asymptotic spherical blackhole wall will pull the space inside towards itself creating a tension. The best way to describe this tension would be to imagine a spherical spaghetti which somehow at the initial stage of formation got trapped, as the asymptotic blackhole wall energy density keeps on increasing the spherical sphaggetti will keep on thinning endlessly. At very high levels of wall energy, the central point of space-time could start to be sucked out, vacating the centre of sphere from space-time. The higher the energy density the higher is the sensitivity to equilibrium in all directions.
This actually is an exceptionally high potential gravitational equilibrium system. Call it a gravitational bomb.
The stability of the system happens because the asymptotic energy wall pulls in mass & energy from outside and space fabric from inside. The sensitivity of such a system to directional equilibrium (entropy) will keep on increasing with increase in the potential of the system. Subsequently, there is a point beyond which the system fails to ignore the slightest directional entropy thereby leading to snap of internal space-time.
Therefore, the life of this blackhole is determined by the entropy of the asymptotic blackhole energy wall. The disorder in the distribution of energy in the wall determines as to how energy intensive the asymptotic black hole energy wall has to be before, the threshold of this minute disorder ignorance is crossed.
There could of course be other related phenomena including bumping of such asymptotic black holes into one another, in some cases even alignment, merger of mutual self destruction.
Big bang could have happened from a similar event that had exceptionally low entropy asymptotic energy wall, leading to an exceptionally high energy density whose snapping point threshold was exceptionally large leading to formation of our current universe.
Like any equilibrium system there could be ‘n’ different possibilities of how it is borne and how it decays. I have presented one of those myriad possibilities.