Look for a second advisor while on the first, any advice? Due to incompatibility with my current advisor, I am currently looking for other advisor on his back. Any advice? I am so scared that what if he discovers that I'm looking around. Now I have tried to set up new email account so I can deny everything if things get ugly. Any people have the same experience, can you share your trick with me please? It is pretty much a very dangerous covert mission.
I don't see anything dangerous or necessarily covert about looking for another advisor, and I'm puzzled by things like using a new e-mail account you can deny was yours.  (Are you planning to make contact under a fake name?  Pretend someone was impersonating you if your current advisor finds out?)

You don't need to be nearly so worried.  It's completely reasonable to switch advisors, and I know plenty of people who have done it without any trouble at all.  You don't owe your current advisor anything, and there are no good grounds for anyone to object.

Of course you could cause offense if you are tactless.  Don't tell your advisor "I'm switching because I'd prefer a competent advisor."  But there are plenty of reasonable excuses.  For example, you could say your interests are developing in ways that are a better fit for an advisor with a somewhat different specialization.

Fair or not, your advisor is probably not happy to be working with you either and may actually be relieved when you switch.  In comments on other questions you have expressed a fear that your advisor will badmouth you to other potential advisors.  That's possible, but you could also run into the opposite phenomenon: sometimes an advisor who is frustrated with a student will try to convince other faculty to take on the role of advisor, since then the student will be someone else's problem.  (The less cynical version is that the student may get along better with an advisor with a different personality.)

I'd recommend keeping two things in mind:


You seem very interested in criticizing your advisor.  Now is not a good time for that, whether it's addressed to your advisor or to a potential replacement.
You seem worried that you are doing something underhanded.  If you act nervous and suspicious, people may suspect you are up to no good.  Looking for a new advisor is not doing anything wrong, and you may get a better reaction if you treat it straightforwardly and calmly.