First, what is information? It is difficult to grasp what is information, difficult to define information . The reason is why so difficul...
First, what is information? It is difficult to grasp what is information, difficult to define information. The reason is why so difficult the definition because the information is fictitious or pseudo property. It does not exist as a unique attribute. Information exists only in relation to something. Information is a kind of description of relation.
Information is an arrangement (pattern, sequence), which relates or correspond to something.
There are approaches to attempt to give a unique existence to the information. Supporting these approaches, information can be related to physical things like energy, entropy, or quantum state. In the most extreme case, it suggests that the whole universe is information, only.
Information can be mathematically described, and mathematical correlations can be used to calculate properties related to information.
Undoubtedly, information has connections to energy, can behave in some aspects as entropy, and can represent a quantum state, even with the definition defined above. Information can be described as a physical entity, and this way, the laws of physics can be applied to the information as well. These laws suggest that information must be preserved.
Quantum theory includes information preservation. In a quantum state, the wave function of the state is a continuum as the state evolves. This principle contradicts the general relativity's no-hair-theorem of the black holes. The black hole information paradox is one of the many contradictions between the general relativity and quantum theory.
Where does all the information go, what happens with the information, which passes the black hole's event horizon? Our current standpoint is that the information preserved somehow in the black hole and it can be regained as the black hole evaporates. The method only is guessed, but if it is valid, then the information-preservation law is saved. This is why these methods are invented.
Is black hole evaporation really violates the information preservation? If information cannot be destroyed, can it be created?
Let's see first, how information is created. For example, how a book created. Undoubtedly, a book contains information. Usually, it is created in a press or printer. If we examine the process, we can recognize, when we create a book we always create a negative substrate with it too. It is difficult to recognize the negative pair of the book because it does not appear as a negative book. The "negative book" appears as a diffuse image of all the surroundings of the environment. It is like a used tape-ribbon but much more diffuse, unrecognizable. Information always created with its negative image. Information is like the electric charge, only much more difficult to recognize its negative counterpart. In this sense, information is a pair production process. In this sense, information cannot be created by itself, only with its negative image. If it is true, then the whole universe is a zero balanced universe from the perspective of information, as from the perspective of electrical charge. Information not just cannot be destroyed, but it only be created with its negative image, and the balance must remain zero. Of course, there is information everywhere, but its negative counterpart must exist somewhere, even if it is in a diffuse, unrecognizable form.
If our universe is a zero balance universe in information, then the black holes do not violate the information preservation law. Black holes just convert back the universe to its zero information state. The process is not the same as classic annihilation, because it does not need to match with the negative image. It can remain existing until an information annihilation process finds it too. Black holes do not violate information preservation; it just works the information and the universe back to its original state. The black hole information paradox might not exist.
An interesting aspect, if an information conservation law exists, a kind of symmetry must be present in the universe related to this conservation. What is it? It is the symmetry of structure or arrangement. Because information is preserved, our universe must be a symmetrically arranged universe. Or vice-versa: in a symmetrically arranged universe, the information is preserved. The symmetry of the arrangement of our universe needs to be deep. The grid model suggests such a kind of arrangement symmetry.
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