Quantum randomness and the information loss paradox associated with black holes are distinct concepts in physics, and they operate in different ways.
Quantum randomness refers to the inherent probabilistic nature of quantum mechanics. It means that certain phenomena at the quantum level cannot be predicted with certainty, even if all relevant information is known. Quantum randomness arises from processes such as measurement outcomes of quantum systems or the spontaneous decay of radioactive particles. While quantum randomness can lead to unpredictable outcomes, it does not necessarily generate new information in the same sense as the transmission or creation of meaningful data.
On the other hand, the question of information loss in black holes is related to the behavior of information within the gravitational collapse of matter. According to classical physics, all information about a physical system should be conserved, meaning it can be in principle reconstructed from the state of the system at any later time. However, in the context of black holes, theoretical considerations have suggested that black holes may lead to the loss of information, which contradicts the principles of classical physics.
The information loss paradox in black holes is still an active area of research and a topic of debate among physicists. The resolution of this paradox is believed to require a better understanding of the relationship between quantum mechanics and gravity, which would involve a quantum theory of gravity, such as a theory of quantum gravity that unifies quantum mechanics and general relativity.
In summary, while both quantum randomness and the information loss paradox in black holes involve information-related aspects, they operate in different contexts and have distinct consequences. Quantum randomness is an inherent property of quantum mechanics, whereas the information loss paradox in black holes challenges our understanding of the conservation of information in the presence of gravity.