Physical Foundations of Organic Mathematics (Abstract, August 26, 2014)

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Physical Foundations of Organic Mathematics. (Abstract) Organic mathematics is the study of organic quantities. As such, the purpose of organic mathematics differs radically from the tradition entelechy of physical mathematics with respect to the representation of matter, space and time. Organic mathematics was designed for the quantitative description of organic reactions, emergence, metabolism, growth and reproduction. The origin of the perceived radicality of organic mathematics is its source of order (number). Traditional mathematics intimately intertwines the concepts of number and arithmetic with the Euclidian geometry of lines. Organic mathematics is grounded in the atomic numbers which in turn are conceptually and pragmatically rooted in the identity of each element and the physical forces of mass and electricity (Newton’s and Coulomb’s Laws.) The arrangements of atomic numbers play multiple roles in the logics of the construction of natural organic objects. The notation of organic mathematics is a form of traditional graph theory, modified to encompass electrical forms of matter. It intrinsically incorporates the bipolar opposition of electrical charge. The notation captures the essential forces of attraction and repulsion in the representation of graphs of numbers and of categorical relations among graph nodes. The logic of organic mathematics is necessitated by physical conservation laws, augmented by the electro-neutrality principle of chemistry. Both the antecedents and consequences of logical operations are expressed in terms of bipolar graphs of electrical relations. (Essentially, the complete electrical graphs of composite numbers are pruned to reveal the adjacency relations of the organic identity.) The proof of structure for each naturally organic compound stands in a one-to-one correspondence relations with its electrical graph. The grammar of organic logic is novel to the chemical sciences. Two forms of sentences are necessary. One sentence form is the traditional predicate logic form that creates correspondences between the identity of organic objects and their physical properties as measured in the International System of Units. The second sentence form expresses the logic of coupling of electrical particles (as numbers) with a copulative verb under the constraints of electro-neutrality. The logic of organic copulative verbs is termed “synductive logic”. Synductive logic, a specialized logic of categorical relations, grounds the calculations of both arithmetic addition and of electrical relations between and among organic objects. Organic mathematics is prior to both quantum and thermodynamic theories. Quantum physics expresses arrangement of the electrical parts of the atomic numbers in terms of the aufbau principle. Organic mathematics is a notation for representing the arrangement of electrical parts of multiple atoms prior to expressing motions in space by extension of the QM aufbau principle. The thermodynamic linkage to chemical phenomena is the law of mass action for a chemical reaction or process. Organic mathematics is a notation for representing the discrete chemical entities of a chemical reaction prior to thermodynamic systems notation. In summary, the numerical notation of organic mathematics integrates logical concepts from number theory, physics, and chemistry in order to study the quantitative changes of organic systems - reactions, emergence, metabolism, reproduction, therapies, and evolution. References An Introduction to the Perplex Number System, Discrete Applied Mathematics,157 2296, 2009. Algebraic Biology, Axiomathes, 19 (3) 297, 2009. Ordinate Logics of Living Systems in Simultaneity (Vrobel, et al., eds. (2008). Unpublished works, 2014. Jerry LR Chandler, [ ] Headwater House, Little Falls, Mn, August 26, 2014

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