Crypto-Information  Conception



    Information  Conception  of  the  Universe.

   The information conception of the Universe was proposed in 1948 by famous american mathematic Norbert Wiener (left). In the beginning, scientists were enthusiastic about this proposal. They hoped that the informational approach would solve many of the fundamental problems of quantum mechanics. However, within the framework of this conception, new results were not produced. The information approach gave a new look at some phenomena, but gave nothing principal new results. It was strange. In our opinion, the reason for this is that scientists used the theory of information proposed by Claude Shannon. Shannon's theory was the theory of the transmission unencrypted information through open communication channels. This case corresponds to the known material world and therefore cannot give new results.
    Today we know that in addition to open information, encrypted information can also be transmitted over open communication channels. It would be strange if Nature does not use this opportunity.

   We think that the information conception of the Universe should include ideas about the transmission of encrypted information over open communication channels. Such algorithms were proposed in the 70-s and are now widely used on the Internet (See [II. Schneier, 1996]).
   The information conception of the Universe, which takes into account the possibility of transmitting encrypted information, we will call the crypto-informational concept of the Universe.


    Crypto-Information  Conception  of  the  Universe.

   The Crypto-Information concept of the Universe is based on the following assumptions :


    What  follows  from  the  Crypto-Information  Concept ?

    From those general assumptions on which the crypto-information concept is based, important results can be obtained. The emergency of additional information links that are not described in the generally accepted space-time model of the Universe can lead to :


    How  to  describe  the entire  Information  Universe  in  the  crypto-information  concept ?

    We assumed that the complete description of the Universe should be such that it could describe both encrypted information world and unencrypted information world. The algorithm for transmitting an absolutely secret message over open communication channel was described in our article. [II. Nedzvetski, 2010]

    From this algorithm follows that for the transmission of absolutely secret information, a set of objects are needed that satisfy the following conditions :

    The set with these properties is associative division algebra. According to the Frobenius theorem the set is isomorphic to quaternions. Hence the entire description of the Universe must be describe by set quaternions. The set of quaternions is a vector space over the real numbers with dimension 4. But the physical world cannot be described by quaternions. If the material world could be represented by quaternions, then we would see the transfer of absolutely secret information and understand that immaterial world exist. The question is, what needs to be changed in the set of quaternions so that absolutely secret information cannot be transmitted ?

Quaternions multiplication table is

        1     i     j     k  
  1     1     i     j     k  
  i     i     -1     k     -j  
  j     j     -k     -1     i  
  k     k     j     -i     -1  

    This is multiplication table for the Whole Universe, for encrypted and unencrypted information worlds.
    If we prohibit operations marked in green on a set of quaternions, then we will get a set of objects that cannot be used to transmit absolutely secret messages.
    In this case multiplication table will be

        1     i     j     k  
  1     1     0     0     0  
  i     0     -1     k     -j  
  j     0     -k     -1     i  
  k     0     j     -i     -1  

    This is multiplication table for unencrypted information world (material world). But it is Minkowski space. That is, that part of the entire information universe, in which it is impossible to transfer absolutely secret information, must be described by Minkowski space.



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