Communication with nature based on a combined multiplicative/additive encryption model: expanding on the concept of fractal

This paper constructs a model of communication with Nature, but also expands on the concept of fractal and thus continues the work developed in another paper presented within the same Conference. Main idea of this paper is that, if and only if a Golden Number or a Golden Function or Rule which governs some of the natural processes does really exist and somehow Nature would show availability to communicate with us, the respective rule may be much more complicated than originally thought, in order to more extensively explain Nature. Such a complicated rule may then be based not only on a single number or function, but on a procedure or rule containing a set of various different functions. This paper presents an algorithmic model to search for a certain specific procedure which could be fitted to natural or even abstract processes, in order to predict their evolution, based on a structure with multiple recursive rules. This structure presented in paper attempts to anticipate and guess the moves of Nature and is actually a generalization of the concept of fractal. Since ages, man was fascinated by the existence of a Golden Number or Golden Section which could explain all shapes, phenomena and happenings in Nature. Unfortunately, experience and interaction with nature has shown that this originally thought magic number, occurs much rarely in Nature than initially believed and his occurrence has been considerably overestimated and many time forced, such as will be also presented in this paper. In search for a generally valid existing rule, this paper attempts, based on a special model which will be explained and applied by means of this paper, to extend and to expand the concept of fractal. Consequently, an algorithm is generated in Matlab or Octave software which actually implements the above mentioned model. The present paper also expands previous results obtained by author in [1], [2], [3] and [4]. Going out from the hypothesis that a general applicable rule which explains much of processes in a certain domain of nature, material or abstract, does exist, this paper aims to identify and construct possible solutions for this presented problem. At first, the term of communication with nature is presented and what the reader should understand when referring to communication with Nature. According to this definition, Nature clearly communicates with us by means of fractals and fractal shapes, which actually are the most common and the best known and understood forms of this type of communication, so far. But it would be inappropriate and preposterous to claim that this could be the only way Nature communicates. The fractals could represent only a small fraction of this communication and they may be only the top of the iceberg in the communication with Nature. Going out from the definition of communication with Nature, a solution to a possible extension of the entire concept of communication with nature is given by means of a special theory of encrypted communication, based on an original model which combines certain types of functions. A new original concept and tool, namely the concept of communication function matrix (CSN Matrix), is also defined and introduced in this paper, with the purpose to generate the proposed communication model. This tool, the CSN Matrix, is created to identify communication with Nature, and will represent the main tool in the proposed communication model with Nature.