CHAPTER 3: GENERAL RELATIVISTIC IN BLACK HOLE

  

  The Black holes solutions are made by some huge non-physical assumptions. According to 2nd law of thermodynamics if a body is contracting some radiations have to pass through it for contracting. It not only has a contraction but also it has some resistance like viscosity, heat radiation, heat flow, etc . Stephen hawking, Roger Penrose gave solutions by assuming that the black holes only have gravitational collapse. And from that they assumed that there is a trapped surface around the black hole from which nothing can escape. For a rotating black hole the photon sphere gets converted into a ring. The image of a so called blackhole can be the shadow of any object ( for e.g. if we keep the tennis ball or any spherical object in front of sun's rays the shadow is created). 

 

  In Einstein's special  theory of relativity as shown in the image (ve=v) if we put the value of v>c then mathematically the time(t^1) can't exist because there will be negative in the square root which diverges us to imaginary axis. And if we put v=c then the t^1 becomes infinite. As mentioned in the previous chapter time and space interchange their values and signs. If we take the x,y,z coordinates in a straight line in pythagoras theorem as shown in the image and if some object is travelling faster than light then that object can see the things earlier than other person and also time will be slow for that person and he can see future and in a sense the decrement in speed of time will be proportional to the future time (i.e. for example he can go 1hr in future for some small increase in v, 2 hrs for big increase and so on...). In the image ds is the space-time curvature. This is a science fiction and in that there comes many paradoxes which can't be solved.

 However in quantum mechanics if we assume that value of h/4pie equal to 1 then we all can see that all effects of quantum mechanics. But the value of h/4pie is very much small approximately 10^-34 something. Therefore we can't see that things happening with our naked eyes. We can just calculate the probability of that position of that electron. For understanding the accurate position of that electron we must know the waves that are emitted by the person ( i.e. think that a person is walking in a path, we can't assume its exact path the maximum thing that we can do is calculate the probability, but that person knows where he is going. The waves are created after every millisecond in our body and environment and according to that waves it commands to our brain and we follow that exact path and that waves are also emitted in the surrounding from which the electron chooses its path and according to that waves that physical object works, but the biggest and most important difference is that we can the things that we can see and that object also works with our calculation but the electrons don't because the commander for that electrons are the waves that are generated by any object in the universe). But we can't calculate the waves that are generated by every object in the universe, so therefore if we detect the waves that are generated in a bounded we can predict the path more accurately than today's

technique, because today we calculate the probability by just using wavefunction. And therefore in quantum level all the laws get violated but not in the real world that we see like the so called blackholes. 

Stephen hawking also gave  theory of hawking radiation to strengthen the paradigm of black hole. And the theory got accepted because the radiation is due to relativistic quantum effects which is true for every object because every object emits radiation in quantum level. Highlight the point that the laws are only violated in quantum level and not in the real world ( reason mentioned above).