Sagittarius A-Star's latest activity

According to Wikipedia, this is a non-relativistic equation. The relativistic equation is shown below in Wikipedia...

What may help is the following hint in the description of problem #3: ##\vec{e}_{\hat 0} = \vec U## In special relativity, in the...

As delimiters, you can use double $ or double # on each side. See in below LaTex Guide link under "Delimiting your LaTeX code".

I think the implication is a similar phenomenon - the circumference of the rim grow unbounded, but this leads only to limiting area of 2...

That's infinite for any ##N##, not only for ##N=3##, due to the infinite last term ##i=N## in the sum.

For a rotating disk with only 3 rings (because of Wolfram Alpha calculation limitations): ##\lim_{v \rightarrow 1} {E/M} =## ## \lim_{v...

That is in accordance with the result by OP, who obtained ##KE=E-M=M##, which implies ##E=2M##. This demonstrates that my removal of the...

I get from Wolfram Alpha 44.676683503771391589009225229630072178116008914652013623324856498 Calculation

It seems obvious to me that the finite particle approach can be made to exceed any energy bound, based on extrapolation from my post...

Isn't that just an artifact of the unphysical uniform density assumption? A single massive particle going in circles approaching c...

I get from Wolfram Alpha 1.93277 Calculation 1 I get with else original values 4.23555 Calculation 2

I include in the summation the outer ring N and set it's speed slightly below the speed of light. ##E = \sum_{i=1}^N...

During his acceleration he can consider himself to be at rest in a pseudo-gravitational field, in which twin B ages more quickly than...

There is one more way to look at the problem, to avoid the continuum distribution of matter in the radial direction. Consider ##N##...

Close to the speed of light the proper area is ##2\pi R^2## instead of ##\pi R^2##. To keep proper mass density constant, you have at...