FT, I might ask you the same. I will research a little but off the top the Weinberg treatment of the SU broken symmetries seems to me to address the question obliqely. You might refer to his Nobel Prize address 1979 (Elsevier Publishing). Kenneth Ford "Conservation Laws," excerpt in The World of Elementary Particles: Blaisdell Publishing Co. 1963 pp. 81-112. Max Planck did a neat little treatment of the subject of entropy Treatise on Thermodynamics trans. Alexander Ogg. London: Longmans, Green and Co. 1903 but of course it doesn't address the quantum factors at this early date. P.W. Bridgman's "Satistical Mechanics and the Second Law of Thermodynamics" in Bulletin of the American Mathematical Society, April 1932 vol. 38 no. 4, pp.225-245, of the American Mathematical Society is a pre-quantum treatment of the subject also. I don't know where My Hawkings stuff is right now nor Einstein. I will check around and see if I can come up with an article that addresses the subject directly.

Hawking does champion the "bleeding" away for everything as you put it and as for vibrations, every measure of energy is about vibrations. From a billionth of a degree above absolute zero, it moves and the reason it (mass) moves is that E=M. Period. Mass is nothing more than (nor nothing less than) a force field.