Klein Bottle Logophysics, Self-reference, Heterarchies, Genomic Topologies, Harmonics And Evolution. Part I: Morphomechanics, Space And Time In Biology & Physics, Cognition, Non-Linearity And The Structure Of Uncertainty - Info and Reading Options

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Development of a unified ontology and epistemology based on the Klein Bottle supradual logophysics, applied to biology of development, second and higher order cybernetics, nonlinear systems, foundations of mathematics, cognition, genomics, biophysics, morphogenesis, etc. <div><br style="line-height:normal;" /><table class="NormalTable"><tbody><tr><td width="200"><span class="fontstyle0">In this first part of a series of articles we discuss the torsion geometry of biology, physics,<br />cognition and perception. We discuss the relations with the non-linear morphomechanics<br />of organisms and the integration of the body’s chiralities. We present the connections with<br />the topology of neural networks as heterarchies and with multi-loci logics as a basis for the<br />HyperKlein Bottle logophysics in genomics, systems theory and cognition. We discuss the<br />link to the relational paradigm for biology, systems theory and physics. We introduce the<br />relations of torsion with self-reference as a generating principle, and as a protosemiotic<br />agency. We present the relations of heterarchies to cognition and systems theory. We<br />discuss the relation between chaotic dynamics, blown-up systems, the non-linear<br />logophysics of the KB and the paradoxical structure of the real numbers. In particular, we<br />elaborate on the breakdown of the continuum hypothesis, the origin of singularities,<br />particularly with respect to General Relativity, and the non-linear elasticity of biological<br />development. We discuss the relation of computational error and the KB logophysics. We<br />present the heterarchical logophysics and the constitution of the self as a model and of a<br />sense or reality as a primary epistemic state further promoted to a dual ontology, which we<br />discuss in terms of the foundations of mathematics in set theory and topoi, and the<br />measurement problem in quantum mechanics. We introduce a fundamental Inside/Outside<br />image-schema in cognitive semantics and discuss its pervasive role in cognition and the<br />framing of the sciences, and give several examples of this. We introduce logical systems as<br />formalizations of ontologies, their role in cognition, the neurosciences, cybernetics and<br />biocomputation, and discuss their setting in terms of the positional HyperKlein Bottle logics<br />and classical dual logic as a particular case. We develop a phenomenological approach to<br />unified science. We discuss the time operator. We discuss the relations of the present<br />logophysics to R.Rosen’s proposal of an approach to systems theory based on the calculus<br />of differential forms and with regards to the topological approach to theoretical physics and<br />Chemical Topology. We discuss the relation between the present logophysics and Spencer<br />Brown’s Laws of Form.<br /><br /></span></td></tr></tbody></table></div>

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