The hypothetical "Law of Conservation of Information" is one of the fundamental laws of conservation, so far unknown to mankind

It is copy Ukrainian original DOI: 10.5281/zenodo.20968085 with an author's translation The relevance of the topic of the hypothetical Law of Information Conservation (PHI) is due to the fundamental challenges faced by modern science on the border of physics, computer science and philosophy. In traditional physics, the laws of conservation (energy, momentum, angular momentum) are the cornerstones that describe the immutability of certain physical quantities in a closed system. However, with the development of quantum mechanics and the theory of relativity, as well as with the awareness of information as a physical entity, there was a need to formulate a similar principle for information. The hypothetical Law of Conservation of Information states that the total amount of information in a closed system, specifically in the universe, remains constant over time. This principle derives from the fundamental requirement of unitarity in quantum mechanics, which ensures that the evolution of the system is reversible and, therefore, no information can be lost. However, this hypothesis faces a number of paradoxes, the most famous of which is the information paradox of black holes.