I'm isolated from my family, who live 340 miles away.
I'm mostly away from my neighbours, as my work is 45 miles away and I'm in an accommodation on my own.
I've moved geographical location four significant times in my lifetime (and 4-5 other times in a lesser fashion), having to meet new people along the way, and often forcing myself to leave my old friends behind, and very often having to start my social networks again from the ground up - in every possible sense.
OK, not the loneliest place in the world, but I am alone, yes.
By the way, these guys also had a lonely hearts club... band... thing.