Recent content by SonnetsAndMath

Thank you for the response. My cosmology with this model is extremely unstable, which probably indicates that I have to abandon it as posed, which might indicate that the factor I mentioned is purely ad hoc. (There are other ways to proceed, but not in terms of vacuum polarization, for now.)

Maybe it would help the forum answer my question, or help someone else looking for an answer to a similar question, if I explained some of what I've worked out toward this end. First of all, I assume that the temperature of a massless boson gas is high enough that particles of the Standard...

Apologies if my question is confused, because I'm beginner in field theory: adding up all corrections, can we talk about an effective (at least approximate) overall mass-to-charge ratio for the electroweak or QED vacuums? Suppose we want to talk about the relative strength of...

That's also useful to me. I'm doing something similar for the Kerr metric, and I specifically chose to start with Boyer-Linquist coordinates because I think "frame-dragging" is "baked in" due to the lack of particular off-diagonals in the metric. Maybe you could comment on whether the lack of...

Question fully answered, thanks again. (Having trouble typesetting the quote, though.) Had a feeling, by the way. I'm still relatively new to this.

Thank you. Last follow up: ##x^{\mu}## is a position vector? So my vector looks like ##(t,r,\theta,\phi)##, except it's ##(t,r,0,0)## if I want radials? EDIT: Or maybe it's a displacement vector, looking at what I just wrote?

This is all extremely helpful, thank you! I'm confused about that too, though. So they should result in the same answer? I'm not sure if I'm blowing the algebra, or if I'm missing a fine point.

I'm a little confused about the proper way to find these null geodesics. From the line element, $$c^2 d{\tau}^2=\left(1-\frac{r_s}{r}\right) c^2 dt^2-\left(1-\frac{r_s}{r}\right)^{-1}dr^2-r^2(d{\theta}^2+\sin^2\theta d\phi^2),$$ I think we can set ##d\tau##, ##d\theta## and ##d\phi## to ##0##...

Hiya! Pleasure to officially meet the forum. I'm a former physics graduate student who completed a baccalaureate degree in physics, but I didn't finish graduate studies for a number of personal reasons. However, I still love the topic, I think anyone here could understand. As a hobbyist, I...