I swear sometimes in my old age (and I'm only 43) I think Iím going crazy. I just bought a new bike and every time I ride it I feel the left side of the handlebars is just the slight bit lower than the right.
I'm 44 and I have gone crazy for sure. Get used to that
Measure. If the measurements show everything is all right then perhaps your brain will accept that as a fact and stop acting weird. Is the bar centered and the grips mounted properly with no space left inside the grips?
I get that same feeling on my vintage road bikes sometimes. Usually when I messed up and made one brake hood 1/4" (or sometimes even less!)higher on one side or the other. It feels level at first, but after just a mile or two I notice it bigtime! The point is, your brain is telling you something is off. There's a very good chance there is. The fact that it's new does not necessarily mean it is perfect. Change the bars and/or stem at the LBS. If it's a new bike you bought from them, they should listen and help you out.,,,,BD