Is there any system in the universe that is information less, I.e., has or possesses no physical information.
For example if I have a system of particles and if I throw this system into a black hole(BH), I can access the information of the system as long as the system is outside the event horizon, but once it is inside the BH, I can never obtain or retrieve any information about it; but this doesn't imply that the system of particles has become an information-less system. Classically, a black hole is independent of its past history.How does the information of the quantum state of the infalling particles re-emerge in the outgoing radiation?
Hawking in this paper says that:
Polchinski recently used a shock wave approximation to calculate the shift on a gen- erator of the horizon caused by an ingoing wave packet. Even though the calculation may require some corrections, this shows in principle that the ingoing particles determine a supertranslation of the black hole horizon. This in turn, will determine varying delays in the emission of wave packets. The information about the ingoing particles is returned, but in a highly scrambled, chaotic and useless form. This resolves the information paradox. For all practical purposes, however, the information is lost.
Is there any other example of a system possessing no information?