It is we who project that onto others, when they truly don't give a flying fig. All they see is another human being. Those closer tend to see the good qualities we sometimes don't see in ourselves.
but I have those moments when I look in the mirror and hate what I see, telling myself DUH, no wonder you're alone and unliked.
Sometimes I wonder what people see in me... when there are days when I can only see the negative.
I just slip into this especially when I'm trying to process that day
It's easy to "slip into" these things, especially when we're processing various aspects of trauma. It's easier to see the ugly bad side of our selves while we're looking at the ugly in our own lives and experiences. Does anything look brighter once you've processed things for a few days?
I'd start with the days where you just dislike yourself vs. full on hating yourself and seeing what makes those days brighter (relatively) than the others.. and then work on putting more of whatever is cheering you up in your life... although slowly. I know for me, self acceptance is something I have to work on very very slowly, so I can systemically believe in it, vs. trying to convince myself I'm full-on awesome. :)