Preprint Article Version 1 This version is not peer-reviewed

On Bioquantum State Systems, The Study of Algebraic Ecology and Macrocellular Biology

Version 1 : Received: 13 February 2020 / Approved: 14 February 2020 / Online: 14 February 2020 (10:54:57 CET)

How to cite: Gotts, M. On Bioquantum State Systems, The Study of Algebraic Ecology and Macrocellular Biology. Preprints 2020, 2020020195 (doi: 10.20944/preprints202002.0195.v1). Gotts, M. On Bioquantum State Systems, The Study of Algebraic Ecology and Macrocellular Biology. Preprints 2020, 2020020195 (doi: 10.20944/preprints202002.0195.v1).

Abstract

This dissertation is a rigorous study of ecology and macrocellular biology as a subfield of abstract algebra. We begin with the creation of an axiomatic paradigm, then move onto constructing a universal genetic code of biology. We use this to define increasingly complex algebraic structures (ecosystem, evolving populations, etc.). We prove a variety of theorems regarding to the members of the previous mathematical constructs, notably the following three: 1. There is one unique phenotypic representation of each organism. For example, if you subdivide any piece of genetic code into its phenotypic components, then two identical organisms have identical decomposed DNA 2. There are a finite number of indivisible phenotypic traits. 3. The three sophioid-definitions are equivalent: (a) dynamical evolutionary enlargement of the medial temporal lobe and frontal lobe, (b) reliance upon intelligence, (c) the existence of an intellectually- or socially-hierarchical society. Much has yet to be done on this work, but as a first draft, it stands as a jumping point for future exploits; I am working on an entirely revised second draft.

Subject Areas

biology; mathematics; computational biology; linear algebra; abstract algebra

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