I think that people who aren't white have dimensions of thought that people who are white never have.
Great observation. They may also be dimensions of thought many people - again, not just white people - don't want to have.
For instance, when I look in my rearview mirror and see a police car behind me, even though I'm not breaking any laws, there is the thought that I could be in danger - especially if the cop is white. That's because, no matter how compliant I am, how well spoken I am, I never know if the man or woman behind that badge is a hothead racist looking for any excuse to empty his gun into me - especially since it's fairly unlikely there will be consequences for doing so, even if video footage of it goes viral.
I have been followed around in a retail store, and not very discreetly. I have been asked for multiple forms of ID when going into a nightclub, though white patrons were only asked for one, if any. I have been systematically excluded from offering an opinion on a thread on this site because the originator didn't know if I was "cool for a black guy." I've known people who will have sex with someone black, but not date or marry them. I've been told what sort of music I should be making (and listening to) based on my color, and what foods I should eat (watermelon, which I don't really like) and shouldn't (medium rare steak, which I do). I'm expected to be hung like a horse and fuck like a beast, to be athletically gifted...but not be very intelligent or articulate. When I walk by a car occupied by a white woman (usually elderly), I hear the door lock engage. If they're sitting on a bench, they clutch their purses tighter. I go out of my way to not appear threatening - even taking care not to appear to be following someone just because we happen to be going in the same direction (even going so far as to cross the street). I'm expected - even in 2016 - to know where my place is. My choice of clothing can actually put me in danger. In some neighbors, certain colors can't even be worn, lest you be mistaken for a gang member - in which case I risk being shot by a cop or an opposing gang member.
In addition to "external racism," there's the internal version. Nappy hair=bad hair. Fairer skin is better than darker skin - the dark skinned parents who delight that their son or daughter has brought home a "high yellow" significant other.
Strangely, the only person to ever compliment the color of my skin and the texture of my hair was a white guy who happened to be sitting behind me when I visiting Lake Travis in Austin, Texas. It was the only time up to that point in my life that I heard someone use the word "nappy" in a positive context, as he was telling me how he much loved my hair while he was caressing it. I was dumbstruck. I couldn't quite say thank you, because a part of me was thinking it wrong to express gratitude for compliments about things I'd been brought up to think negatively of, or at least of as being inferior.
