A Unified Mathematical Science of Physical, Biological and Human Nature

Abstract and introduction. A new general function for information is derived able to explain information in every form it takes in nature including visual information, verbal information, communicated information, emotional information and thermodynamic entropy. As such this new information function. which we call the bentropy, meaning benthic or deep entropy or fundamental entropy, provides the basis of a unified understanding of all things.

The bentropy is a mathematical relative of the Shannon entropy, the central information function in information theory. To paraphrase A. Dukkipati (PhD Thesis, Electrical Engineering, Indian Institute of Science, Bangalore, 2006), “the fact that the Shannon entropy has performed so well in deriving the coding theorems of information theory that explain man-made communication systems would seem to provide such overwhelming evidence for the adequateness of Shannon’s information measure that to look for essentially different measures of information might appear to make no sense at all. Still, all the evidence that Shannon’s information measure is the only possible one, is valid only within the restricted scope of coding problems considered by Shannon. As the Hungarian mathematician, Alfred Renyi, pointed out in his fundamental paper on generalized information measures, in other sorts of problems other quantities may serve just as well or even better as measures of information.”

To read more visit our Website