my dream machine

my dream machine

Thursday, December 10, 2009

why smaller black holes are hotter?


A friend of mine suggested me that i should have something technical in my blog and something lustful too. Well i can't say anything about lustful but yes technical i will write. So here is my first technical post. Actually some days back i was reading this book the theory of everything by the great sir stephen hawking and i really found this concept quite abstruse. I took time to absorb it that's why i thought that i should write it in a way so as to seem more palpable. And one thing more this post especially dedicated to my friend ankit who is lately developing some interest in cosmology.

Empty space is said to be full of virtual particle pairs. One of the particle of this pair has negative energy and other one positive. The negative energy particle is short lived. Now if one of this negative virtual particle falls into black hole it becomes a real particle because of very strong gravitational field which is around a black hole.(And we know it really is very strong) And now since it has become a real particle it has positive energy and it is possible for this particle to escape from black hole because of the positive energy. Now pay extra attention. The whole process is like this - a negative energy virtual particle falls inside the area of black hole, it acquires positive energy because of strong gravitational field of the black hole, it escapes to infinity because of positive energy. Now the smaller the black hole the lesser distance negative energy virtual particle will have to cover before it becomes a real particle and lesser will be the time it will take to come out of the region of black hole. Reread the last line. When black hole will be smaller time taken by negative particle to go inside and come outside as positive particle will be less this means emission rate will be high and hence temperature of black hole will be high. Why? Because temperature depends upon the rate of emission of any body. Well you know this, you ain't so stupid. That is why small black holes are hotter. So please tell me with your valuable comments how you find this post of mine.

5 comments:

  1. This is one gr88 post which i wanted to read from long.It is easy to post abt ur proceedings of the day and other such hackneyed diary writing like stuff but it takes real knowledge and concept to write a post like this.And m nt surprised brother that this came frm u.Believe me..m not..

    And bro..about the general theory of relativity also..that smaller the black hole...more is the space-time curved due to the gravitational field..n that makes the diameter or whatever(the size) of a blackhole even smaller..and thus more density..this also makes time slow inside a black hole..and the more the density more slow is the time..anyways it is supposedly infinitesimally slow inside any black hole..

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  2. bhai ankit aap kab se scientist ban gaye.. waise soni bhai to is field mein maahir hai... apne to kucch palle nahi pada.. still its a commendable work

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  3. ha bhai its commendable..bas ye bata time taken is less to emission rate kaise high hua??yaha to + energy mein convert hona hai to it should absorb energy na...yaha + energy particle..mein convert kaise hota hai??could not understand..so reply fast

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  4. bhai its so simple when size of black hole is less it means the distance between event horizon and singluarity is less in less technical terms the overall size of black hole is less which means less distance the particle will travel. Or take it this way a particle enters the region as negative particle gets converted into positive particle(because of strong field inside hole) and after becoming positive it comes out of black hole so when size of black hole will be small it will have to travel less distance ( going inside and coming outside total distance will be less) for smaller black holes. Less distance means less time which means more particles per unit time which means high emission rate which means high temperature. ab samjha ya or koi doubt hai

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  5. ha last 6 line samajh aagai aache se..but strong field ki wajah se -ve se +ve kaise convert ho raha hai...mein bhool gaya

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