Demystifier's latest activity

A lot of modern research papers investigates the possibility of aether...

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

I get from Wolfram Alpha 44.676683503771391589009225229630072178116008914652013623324856498 Calculation

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

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...

Interesting! How much the last term ##i=N## contributes to the full sum? What happens if you take ##v=1## but compute the sum only up to...

Also note that the constraint of constant density per a local, comoving observer, means adding particles to outer rings as they are sped...

But the uniform COM frame density follows necessarily from any simple (i.e. not including stress energy of holding the disc together)...

This is a nice simplification for further discussion, that changes the main questions not at all. This would be computing the total...

There is such a thing as null dust in the literature. :wink: But it's not intended to cover this kind of case. I think @Demystifier...

The conducting electrons interact with lattice atoms. It turns out that the lowest energy state of such interactions realizes when...

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

We have two limits here. The first is the limit involved in the definite integral of a continuous mass distribution across a disk. We...

Do you mean a hoop with zero or non-zero extension in the radial direction? In the case of a realistic non-zero extension, it's not...

Exactly. To understand it quantitatively, one has to focus on the contribution of the integral near the ##r=R## region. For that...