When the problem is extended to these huge dimensions, the prospect of an ultimate cessation of cosmical work is indefinitely postponed, but at the same time it becomes impossible for us to deal very securely with the questions we have raised. The magnitudes and periods we have introduced are so nearly infinite as to baffle speculation itself: One point, however, we seem dimly to discern. Supposing the stellar universe not to be absolutely infinite in extent, we may hold that the day of doom, so often postponed, must come at last. The concentration of matter and dissipation of energy, so often checked, must in the end prevail, so that, as the final outcome of things, the entire universe will be reduced to a single enormous ball, dead and frozen, solid and black, its potential energy of motion having been all transformed into heat and radiated away. Such a conclusion has been suggested by Sir William Thomson, and it is quite forcibly stated by the authors of "The Unseen Universe." They remind us that "if there be any one form of energy less readily or less completely transformable than the others, and if transformations constantly go on, more and more of the whole energy of the universe will inevitably sink into this lower grade as time advances." Now radiant heat, as we have seen, is such a lower grade of energy. "At each transformation of heat-energy into work, a large portion is degraded, while only a small portion is transformed into work. So that while it is very easy to change all of our mechanical or useful energy into heat, it is only possible to transform a portion of this heat-energy back again into work. After each change, too, the heat becomes more and more dissipated or degraded, and less and less available for any future transformation. In other words," our authors continue, "the tendency of heat is towards equalization; heat is par excellence the communist of our universe, and it will no doubt ultimately bring the system to an end..... It is absolutely certain that life, so far as it is physical, depends essentially upon transformations of energy; it is also absolutely certain that age after age the possibility of such transformations is becoming less and less; and, so far as we yet know, the final state of the present universe must be an aggregation (into one mass) of all the matter it contains, i. e. the potential energy gone, and a practically useless state of kinetic energy, i. e. uniform temperature throughout that mass." Thus our authors conclude that the visible universe began in time and will in time come to an end; and they add that under the physical conditions of such a universe "immortality is impossible."