PAllen's latest activity

Well I can think of a recipe for building one:wink: Just start accumulating cold iron filings in one place, continue till you’ve added...

Metric theories of gravity all obey all but the strongest form of equivalence principle. So, no Newton-Cartan theory could not...

Elevator on the surface of earth is not inertial because the surface of the earth is exerting a real force on the bottom of the...

Kind of going back to the original question. To understand why gravity is considered a fictitious force ( I prefer the term inertial...

I should add that there are different versions of the equivalence principle. For something called the strong equivalence principle...

On the other hand, a particle model is, itself, an approximation. If you believe QFT, there are only continuous fields at the root. And...

I want to add a few more observations about this topic. I think the key point is that there is nothing wrong or paradoxical about the OP...

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

And one more thing… the issue of transitioning to a continuum is a problem for the radial direction, but not the tangential. So the...

I think there is no nice way to allow a continuum model to capture the notion that there is no upper bound to particle energy before c...

One further way of looking at this is that transitioning from a ring of point particles to a smooth annulus adds width to the particles...

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

I think I have the key notion for the finite to continuum transition that explains the counterintuitive continuum result. The uniform...

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

I don’t think the improper integral is the issue at all. In some sense, you never need to get there. Intuition suggests that any chosen...