Do Black Holes Have Dimension?

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Black holes possess dimensions, with their size typically defined by mass and radius, which is the distance from the center to the event horizon. A Schwarzschild black hole is considered zero-dimensional, while a Kerr black hole is one-dimensional, represented as a circle. The Myers-Perry metric describes five-dimensional black hole spacetimes, although the dimensionality of these black holes remains uncertain. The size of a black hole is directly proportional to its mass, but measuring dimensions is complicated by the extreme gravitational effects near the event horizon, which can distort perceptions of size. Ultimately, black holes are not merely infinite points; they have a definite size that can be quantified.
mprm86
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Do black holes actually have dimension (I mean size)?
Thanks.
 
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a schwarzschild BH is Zero-dimensional, a point. A Kerr BH one-dimensional, a circle.
there's a solution of Einstein Equations called Myers-Perry metric that describes 5-dimensional Black Hole spacetimes. In this case I'm not sure of the dimensionality of the BH (somebody can explain?)
 


Yes, black holes do have dimension or size. They are typically described by their mass, which is the amount of matter they contain, and their radius, which is the distance from the center of the black hole to its event horizon (the point of no return). The size of a black hole is directly related to its mass, with larger masses resulting in larger radii. However, the concept of size in relation to black holes can be tricky because as objects get closer to the event horizon, they appear to shrink due to the intense gravitational pull. This can make it difficult to determine the actual physical size of a black hole. Additionally, the extreme curvature of space around a black hole makes it challenging to measure its dimensions accurately. Nevertheless, black holes do have a definite size and are not just infinite points in space.
 
In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...

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