u/Character_Drive6141

I have a lenovo yoga i9. I realized the left side got really hot when I used it (hurts fingertips to type, task manager said 64 C). I felt it and the air isn't moving on the left side. Any reason this would happen? Any way to fix?

So this is obviously just a thought exercise, but if I had two rectangular pipes where one was a bit shorter than the other such that on that axis they could fit inside each other, and on the other axis they are the same size. If I put them end to end and then vibrate one with respect to the other at 0.6c along the axis which they are the same size, in the reference frame of the taller one the shorter one would shrink and thus could be fit inside this one. In the reference frame of the shorter one the taller one would shrink and there is no way they could fit. What happens if the taller one gets pushed around the shorter in its reference frame (or if this is attempted)?

I know this technically requires infinite acceleration, but we could also use instantaneous speeds and a very short time window instead of vibration for the same idea.

EDIT: I MEANT GR, BUT I CAN'T CHANGE THE TITLE

I am an undergrad student and I am trying to dive deeper into this stuff, but it's so tough. My professor sent me these notes (https://arxiv.org/pdf/gr-qc/9712019) he uses to teach the graduate class in GR, but I'm in the first chapter and I've already lost my mind with all the matrix notation. I got an A in calc 3 and linear algebra, but this is another beast. Anyone know some way I can prep myself for understanding this, or make it more digestible without a teacher to help?

I think I understand that gravitational acceleration is the gradient of the space-time curvature towards mass-energy and that (gravitational) time dilation is based on the absolute difference in potential? But I don't understand how gravitational acceleration causing relativistic time dilation (Lorentz) and how that interacts with the gravitational time dilation. I think this may be an issue of me not seeing these effects as a unified thing and rather as two separate competing effects (at least when it comes to an outside observer, they don't compete locally to my understanding). Is coordinate time assuming a relative velocity of 0 and just a flat spacetime, or is it at a set point in faraway spacetime and thus also is subject to relative velocity time dilation? Also I'm really confused about visualizing 4d, but I don't think yall can help with that 😞

Btw, I just finished e-mag, so I am mostly interpreting gravitational potential in the same way I did electrical. This may lead to some problems in understanding, but if you can make them analogous, that would be SUPER helpful.

Also, the acceleration function (a = GM/r^2sqrt(1-GM/rc^2)) becomes imaginary once you pass the schwarzchild radius. What does this mean? Is it just undefined? I know we can never actually learn the physical properties there due to no information leaving (unless hawking radiation can include information?) but are there theories?

(I am also interested in the differences between the Quantum and SR approach to what happens beyond the event horizon, though I know nothing about this and only know it exists from lurking on this sub).

So if I cast contingency on myself and then cast magic jar, is it on my body or on my "soul." Can I choose?

Heres the situation. I am a changling and for story reasons I have two souls in me. My plan is to have me cast magic jar to leave one in my body and have the me possess a new body. However, the other soul is kinda antagonistic or may be. As a fey my plan we to contingency cast planar binding on myself so once my soul left I would still control the being in my body. So how do those spells take effect?