- 28
- 14
I've seen some people who have issues against the current method of calculating Black Hole feats used in this site. The 2 main issues stem from the use of earth/solar masses and their GBE to determine the attack potency:
1- This method leads to discrepant results depending on which mass do you use as a base. Example: Creating a black hole with 0.1 solar masses could result in 1.7113*10^36 Joules (using Earth masses) or 5.693*10^40 Joules (using Solar masses).
2- Objects with the same mass but smaller radius than the original body end up having greater results than black holes. Example: A neutron star (second densest thing in the universe below black holes) has 1.4 solar masses and a radius of 10 km, therefore a GBE of 3.1×10^46 Joules (54,452.8x Sun GBE). A black hole with the same mass would be worth 7.9702*10^41 Joules (1.4x Sun GBE) based on this sites rules.
As shown above, Gravitational Binding Energy is inversely proportional to the body's size. As the body becomes smaller and denser, it's gravitational pull increases, making it harder to scatter the body's mass and cease it's gravitationally bound system. Under the same logic, making/unmaking a black hole should yield more energy than a neutron star.
However, the main reason this is not done is because, due it's escape velocity surpassing the speed of light, scattering a black hole's mass would involve Kinetic Energy using FTL speeds, which is not viable in this site.
I want to propose two methods to work around this obstacle, avoiding violating the theory of relativity, and fixing the 2 issues mentioned above.
Using the values above, a neutron star would have a escape velocity of 192,792,222 m/s. Using Earth's mass as a basis, in order to reach that escape velocity, this mass would need to be compressed to a radius of 0.021447 meters (2.4x larger than the Schwarzschild Radius of an Earth mass black hole).
Using the GBE calculator, this would be worth 6.66×10^40 Joules. This is below Earth's Mass-Energy (5.3677×10^41 Joules) and therefore doesn't violate the special theory of relativity.
The Photon sphere has a radius that is 1.5x larger than the Schwarzschild Radius. Using an Earth mass black hole again as a basis, which has a Schwarzschild Radius of 0.00887 meters, the Photon sphere has a radius of 0.013305 meters.
Using the GBE calculator, this would be worth 1.074×10^41 Joules.
There isn't a big gap between both methods, and personally I prefer the 1st one since it uses a less dense celestial body that should be easier to make/destroy as a basis.
1- This method leads to discrepant results depending on which mass do you use as a base. Example: Creating a black hole with 0.1 solar masses could result in 1.7113*10^36 Joules (using Earth masses) or 5.693*10^40 Joules (using Solar masses).
2- Objects with the same mass but smaller radius than the original body end up having greater results than black holes. Example: A neutron star (second densest thing in the universe below black holes) has 1.4 solar masses and a radius of 10 km, therefore a GBE of 3.1×10^46 Joules (54,452.8x Sun GBE). A black hole with the same mass would be worth 7.9702*10^41 Joules (1.4x Sun GBE) based on this sites rules.
As shown above, Gravitational Binding Energy is inversely proportional to the body's size. As the body becomes smaller and denser, it's gravitational pull increases, making it harder to scatter the body's mass and cease it's gravitationally bound system. Under the same logic, making/unmaking a black hole should yield more energy than a neutron star.
However, the main reason this is not done is because, due it's escape velocity surpassing the speed of light, scattering a black hole's mass would involve Kinetic Energy using FTL speeds, which is not viable in this site.
I want to propose two methods to work around this obstacle, avoiding violating the theory of relativity, and fixing the 2 issues mentioned above.
Method 1 - Black hole > Neutron star
The 1st proposed method would be to find out how small the mass would need be compressed to before it achieves the 2nd highest escape velocity in the universe, which is that of a neutron star.Using the values above, a neutron star would have a escape velocity of 192,792,222 m/s. Using Earth's mass as a basis, in order to reach that escape velocity, this mass would need to be compressed to a radius of 0.021447 meters (2.4x larger than the Schwarzschild Radius of an Earth mass black hole).
Using the GBE calculator, this would be worth 6.66×10^40 Joules. This is below Earth's Mass-Energy (5.3677×10^41 Joules) and therefore doesn't violate the special theory of relativity.
Method 2 - Photon sphere
The 2nd proposed method utilize the Photon sphere, the region around a black hole's event horizon where light orbits in a circular path instead of directly falling into the black hole.The Photon sphere has a radius that is 1.5x larger than the Schwarzschild Radius. Using an Earth mass black hole again as a basis, which has a Schwarzschild Radius of 0.00887 meters, the Photon sphere has a radius of 0.013305 meters.
Using the GBE calculator, this would be worth 1.074×10^41 Joules.
There isn't a big gap between both methods, and personally I prefer the 1st one since it uses a less dense celestial body that should be easier to make/destroy as a basis.
Last edited:
