Here is Leonard Susskind talking about conservation of information and holographic principle.
I have not heard of the conservation of information in popular science books. What does it mean? What is the symmetry involved? Why not information create and destroy as we wanted? Where does our increasing information come from? In fact, what does the information in this context mean?
In the death and alive paradox, why not Alice's time (who is actually inside the strong gravitational field of the black hole) just slow down as Bob's view?
For the propeller blade analogy, what does it has to do with elementary particles? Would the same effect happen when the particles are accelerated to near the speed of light and its time almost stop?