Inconvenient silences are those times when you are with someone and you kinda lost topic of discussion, which leaves this very thick and unflattering void of nothing in the air. I think that those silences are horrible, and I have dedicated my life to find ways to avoid them. I just keep on talking -one quality that is either my best or my worst quality, depending on who and when you see it-.
However I must say that sometimes you find people with which silence is not uncomfortable, those moments are magical I think. Comfortable silence for me is a sign of understanding and I find this as a signal that this person is someone I can be real friends with -for if I have to keep on talking everytime, real friendship seems too difficult-.
I think that everything you need to know about someone is in the silence you share. For silence is so difficult to share with and a person who can fill the silence other than with voices -or unnecessary noises I like to make- are really really Interesting and note worthy people. Have you found your silent buddy?