That is actually pretty interesting! Are you sure it is the LEDs that you can hear? I would probably lean towards the mains 50Hz buzz being heard by you due to internal transformers

Amazing, I have never thought of that! I have always carried my card behind the phone, which is a bit too thick for my liking, but this is such a great idea, thanks for sharing!

Well, the thing is even if you trace it back to an account, what do you do then? Only a single pirate with a bit of opsec knowledge needs to have an account with e.g. a stolen credit card or whatever, and then they can just leak everything with no consequences…

Yes, but we aren’t talking about the limit of the volume. We are talking about volume in actually infinite dimensional space.

This reasoning is pretty weird, but the conclusion is basically right. That is, there is absolutely no way to extend the conventional notion of volume to Rinfinity, which is basically what most people would imagine is the infinite equivalent of our dimensional space. Edit: what I mean by Rinfinity is a bit ambiguous, but let’s say for the purpose of a hypersphere we want something like l^2 hilbert space to ensure no vectors with infinite length appear, then we have a separable space and the proof is complete.

I have personally had a lot of issues with pop os on my laptop (related to power management, waking up the WiFi card, overheating leading to a kernel panic, GPU refusing to go to sleep), which disappeared as soon as I installed Endeavour OS.