So the annihilation of energy, the vanishing of particles (and with them potential energy), the violations of the conservation of energy, etc.?
1. Incorrect, information can be destroyed by burning a book or causing amnesia.
Check out
My Battle with Stephen Hawking. It's a popular book by a founder of string theory who overcame the single greatest threat to the conservation of information, which is THE conservation law in modern physics (as matter and energy can be "conserved" by mathematical manipulations, which is what just about all systems in quantum theory/particle physics are anyway (or at least the "physical system" is related to the world in an unknown way and represented by a ket-vector in an complex, sometimes infinite-dimensional mathematical space which allows us to fudge things in order to ensure that e.g., "naked charm" is conserved or that flavor is, let alone energy).
Also, you should read the popular physics text
Vedral, V. (2010).
Decoding reality: the universe as quantum information. Oxford University Press.
Still waiting for proof that the universe is information, our perception of it is information but not the universe itself.
"the claim that the universe computes is literally true. In fact, the scientific demonstration that all atoms and elementary particles register bits of information, and that every time two particles collide those bits are transformed and processed, was given at the end of the nineteenth century...It was not until the mid twentieth century, however, with the work of Claude Shannon and others, that the interpretation of entropy as information became clear. More recently, in the 1990s, researchers showed just how atoms and elementary particles compute at the most fundamental level...That is, not only does the universe register and process information at its most fundamental level, as was discovered in the nineteenth century, it is literally a computer..."
Lloyd, S. (2014). The computational universe. In P. Davies & N. H. Gregersen (Eds.).
Information and the Nature of Reality. Cambridge University Press.
Also, here is the abstract to a paper I have attached:
"All physical systems register and process information. The laws of physics determine the amount of information that a physical system can register (number of bits) and the number of elementary logic operations that a system can perform (number of ops). The Universe is a physical system. The amount of information that the Universe can register and the number of elementary operations that it can have performed over its history are calculated. The Universe can have performed 10^120 ops on 10^90 bits ( 10^120 bits including gravitational degrees of freedom)."
Lloyd, S. (2002). Computational capacity of the universe.
Physical Review Letters,
88(23), 237901.
