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I want to propose a method for Black Hole creation feats.
To estimate the energy required to create a black hole, we look at the last possible stable state an object can have before collapsing. According to general relativity, that limit is when the object’s radius reaches the Buchdahl limit:
R = 9/8 * Rs (schwarzchild radius)
By modeling the object as a polytropic star with a polytropic index 0.75 like a neutron star, we can estimate how much energy would need to be released to reach the Buchdahl limit.
Once it reaches this critical point, collapse into a black hole happens automatically. So the GBE needed to reach that limit gives us a minimum energy requirement for black hole formation.
Formula:
3/(5-0.75) * GM^2/(9/8Rs) = 3/8.5 * Mc^2 *8/9 = 8 / 25.5 * Mc^2
To estimate the energy required to create a black hole, we look at the last possible stable state an object can have before collapsing. According to general relativity, that limit is when the object’s radius reaches the Buchdahl limit:
R = 9/8 * Rs (schwarzchild radius)
By modeling the object as a polytropic star with a polytropic index 0.75 like a neutron star, we can estimate how much energy would need to be released to reach the Buchdahl limit.
Once it reaches this critical point, collapse into a black hole happens automatically. So the GBE needed to reach that limit gives us a minimum energy requirement for black hole formation.
Formula:
3/(5-0.75) * GM^2/(9/8Rs) = 3/8.5 * Mc^2 *8/9 = 8 / 25.5 * Mc^2