Can you get a mil-spce version? It might operate to lower temperatures. The package is made of different things, and they will all expand at different rates. The lower temperature limit might be set by that.
It is not uncommon to cool to FET preamplifers to liquid helium temperatures or below.
I think it is actually f^a, where as is about -1. Despite being called
1/f a lot of the time, I think the constant a is a bit more or less than-1. (Can't recall which).
I have never seen a satisfactory explanation. I read about
No idea, other than raising the frequency. There may be other ways.
Probably, but liquid nitrogen would be a lot better. That will produce only 25% of the thermal noise as room temperature, but dry ice will produce 65% as much noise as at room temp.
Liquid helium is more difficult to get, more expensive, so is probably out.
I've stuck things in liquid nitrogen and never had problems with operation. Resistors change by a small amount, but it is pretty small for modern devices.