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Shaw
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Is there theoretically a smallest possible Schwarzschild radius?
Yep, I still remember this.PAllen said:What do you want? For quantum case, there can be no detail because [..]
PAllen said:Each k in your series is smaller each time [..]Of course, this is all nonsense - no mirror is anywhere near that perfect. Also, of course, I do ignore quantum effects because [..]
Yeah, unlike ##\sqrt{1-v^2}##, here the limit for V is C.PAllen said:What do you want? [..]Since there is no lower limit on mass, there is no lower limit on Schwarzschild radius.
For natural BH you mean? I heard that CERN is creating tiny BH on daily basis.PAllen said:I1) What is the smallest BH that can form from gravitational collapse? This is not well known, but a guesstimate is around 3 solar masses.
Natural of course. Should have read that a minute longer before posting.Stephanus said:For natural BH you mean? I heard that CERN is creating tiny BH on daily basis.PAllen said:1) What is the smallest BH that can form from gravitational collapse? This is not well known, but a guesstimate is around 3 solar masses.
Stephanus said:For natural BH you mean? I heard that CERN is creating tiny BH on daily basis.
Perhaps if you calculate the momentum energy of two colliding protons each travels at 99.99%c multiply it by 2G in less then ##\frac{2GM_{proton}}{c^2}## radius, I don't know. I should have calculated it. Perhaps the concentration of the momentum energy in much less tiny radius could be called black hole. And I heard that for such tiny black hole, the hawking radiation will evaporate it in less then 1 second. You know better. Btw, I'm still studying your post about doppler effect in SR. Still trying to make sense out of it.PAllen said:There is currently exactly zero evidence that LHC has formed any BH [..]
http://phys.org/news/2010-12-large-hadron-collider-signatures-microscopic.html#nRlvStephanus said:Perhaps if you calculate the momentum energy of two colliding protons each travels at 99.99%c multiply it by 2G in less then ##\frac{2GM_{proton}}{c^2}## radius, I don't know. I should have calculated it. Perhaps the concentration of the momentum energy in much less tiny radius could be called black hole. And I heard that for such tiny black hole, the hawking radiation will evaporate it in less then 1 second. You know better. Btw, I'm still studying your post about doppler effect in SR. Still trying to make sense out of it.
Ok.Large Hadron Collider finds no signatures of microscopic black holes
Shaw said:your replies lack detail
The Schwarzschild radius is a measure of the size of the event horizon of a black hole. It is the distance from the center of the black hole at which the escape velocity exceeds the speed of light, making it impossible for anything, including light, to escape from within that radius.
The Schwarzschild radius is calculated using the formula Rs = 2GM/c^2, where G is the gravitational constant, M is the mass of the black hole, and c is the speed of light. This formula is derived from Einstein's general theory of relativity.
The smallest possible Schwarzschild radius is the Planck length, which is approximately 1.6 x 10^-35 meters. This is the smallest length that can be measured in the universe and is considered the limit of our current understanding of physics.
No, according to our current understanding of physics, nothing can have a Schwarzschild radius smaller than the Planck length. This is because at this scale, the laws of quantum mechanics and general relativity break down, and we do not have a complete theory that can accurately describe this phenomenon.
When the Schwarzschild radius is reached, the escape velocity becomes equal to the speed of light, and the event horizon is formed. Anything that crosses this boundary is pulled into the black hole and cannot escape. This is also known as the "point of no return."