Creating a black hole or a mini Big Bang using only standard physics would require an enormous amount of energy. The specific amount of energy required depends on various factors, such as the desired mass of the black hole or the conditions for a mini Big Bang.
To create a black hole, one would need to concentrate a large amount of matter or energy into a small volume. According to general relativity, the theory of gravity developed by Albert Einstein, a black hole forms when matter is compressed to a point of infinite density known as a singularity. The minimum mass required to form a black hole is determined by the Schwarzschild radius, which is proportional to the mass of the object.
The Schwarzschild radius of an object of mass M is given by the formula:
R = 2GM/c^2
Where G is the gravitational constant and c is the speed of light. As the mass increases, the Schwarzschild radius also increases, indicating a larger volume is needed to create a black hole. For example, to create a black hole with the mass of Earth (about 5.97 × 10^24 kilograms), the Schwarzschild radius would be roughly 8.87 millimeters.
To create a mini Big Bang, which refers to recreating the high-energy conditions of the early universe, an extremely high energy density would be required. The energy scales involved would be on the order of particle accelerators like the Large Hadron Collider (LHC), which can collide particles at energies of several tera-electron volts (TeV).
It's important to note that the current understanding of physics suggests that the energy scales required for creating a mini Big Bang or a black hole are far beyond our technological capabilities. Additionally, such experiments would likely have significant consequences and risks, such as the potential for catastrophic events or violations of the known laws of physics.
Therefore, while it's theoretically possible to calculate the energy required, the practical realization of creating a black hole or a mini Big Bang using only standard physics is currently far beyond our reach.