Wish I could help you but I exactly the opposite problem. I am too busy for anything. I don't get time to be alone and rest. Manytimes not even enough time to sleep.
To kill loneliness, stop fighting it. At some level, everyone is lonely... it is best not to fight a feeling and just feel it completely.... you'll find out that the feeling eventually dissolves ..... It works for me when I feel scared of anything. Resisting only tends to intensify the problem.