Immortality via Technology

In school I only got as far as Algebra II and Geometry, and that's pretty much the extent of my familiarity with mathematics. Yet you claim to have a mathematical proof "demonstrating that sapient life (in the form of, e.g., immortal superintelligent human-mind computer-uploads and artificial intelligences) is required by the known laws of physics (viz., the Second Law of Thermodynamics, General Relativity, and Quantum Mechanics) to take control over all matter in the universe, for said life to eventually force the collapse of the universe, and for the computational resources of the universe (in terms of both processor speed and memory space) to diverge to infinity as the universe collapses into a final singularity". whew! I'm sorry but that's bit hard to swallow. Intelligence, as far as I know, is just an accident of evolution. Even if I accept the idea that of all the billions of planets in the universe, intelligence had to evolve on one of them, that doesn't guarantee that it will survive for very long without exterminating itself (look at the news; we seem to be doing a damn good job of it!), let alone evolve into some "immortal human-mind computer". I'm afraid to ask for the logical steps in this idea, because you'll probably tell me to read one of these long-winded papers and I'll get buried in mathematics.
Hi, Advocatus. For the details of this mathematical theorem, see Sec. 3: "Physics of the Omega Point Cosmology", Subsec. 3.1: "The Omega Point", pp. 12-19 of my aforecited article "The Physics of God and the Quantum Gravity Theory of Everything".