Let's take a Schwarzschild black hole as an example.
For a Schwarzschild black hole, we have $${\rm d}s^2=-\left(1-\frac{2GM}{r}\right){\rm d}t^2+\left(1-\frac{2GM}{r}\right)^{-1}{\rm d}r^2+r^2{\rm d}\theta^2+r^2{\rm sin}^2\theta{\rm d}\varphi^2$$So the metric tensor ##g_{\mu\nu}## has only...
Here's a link to Wikipedia on this solution: https://en.wikipedia.org/wiki/Misner_space
And here's the pdf file for the paper listed on bottom of the Wikipedia page: http://iopscience.iop.org.sci-hub.cc/article/10.1088/1475-7516/2004/08/004/pdf
According to the Bekenstein–Hawking formula in black hole thermodynamics, $$S=\frac{kAc^3}{4G\hbar}$$ Consider a Schwarzschild black hole, we know that $$r_{\rm g}=\frac{2GM}{c^2},\ A=4\pi r_{\rm g}^2$$ Therefore, we can get $$M^2=\frac{\hbar c^3}{4\pi k_{\rm B} G}S$$ From thermodynamics, we...
What is strange, however, is that in Star Trek Voyager, there're some episodes in which Captain Janeway mentioned anti-gravity thrusters, especially when Voyager was trying to land on a planet's surface.
Besides, a few modification on inertial damper can create a nice anti-gravity drive, and...
We all know that starships in Star Trek have artificial gravity. They also have inertial damper. Therefore, we can conclude that they have the ability to counteract gravity.
However, as those technical manuals of Star Trek tell us, starships are using impulse drives for slower-than-light...
Mathematica is fully functional for daily astronomy data analyzing works, and it is much more convenient than python, so why can't them use Mathematica instead of python? It's like when you have warp drive you still travel through space using chemically powered traditional rockets, which is...