Don't feel bad for asking questions, we enjoy it.
Warseer is a troubled land with angry, confused idiots. Many dislike Gauss blasters and gauss weapons as a whole because they thought they were getting rending. Instead they have the always glance potential, which actually makes the super nasty.
I am really torn between Tesla Carbines and Gauss Blasters for Immortals. For my play style, I think the Tesla carbines are the better choice. My immortals will be buffed because of the Traveller, making them a competent CC unit. They will need to be moving and the assault ability of the Teslas will let them shoot the full 24" as they go. Of course, if they get out of a monolith, they will be close enough to something to really pound it with the blasters. The Blasters on the otherhand allow them to do damage to vehicles (the teslas don't really) and look classic and cool, which the teslas don't really.
Lets look at the numbers:
10 immortals with tesla cannons will hit6 to 7 times on average with a 6 for one of those meaning 9 to 10 S5 hits per turn. With Blasters, at long range they will hit with 6, at close range they will hit with 13 on average. Not a huge difference, but I will say the carbines assault ability means they can fire and move for a reach of 30" total. That they can assault after is a big jump too. The Blasters though will ignore all armor other than marines which makes them tempting.
I for one will be using Carbines I guess, though I will miss having those sweet looking blasters! I guess I can od blasters with my next unit of immortals.