Klein bottle logophysics: a unified principle for non-linear systems, cosmology, geophysics, biology, biomechanics and perception

8th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields

Rapoport, Diego Lucio^1

Department of Sciences and Technology, Universidad Nacional de Quilmes, Bernal, Buenos Aires, Argentina^1

关键词: Artificial image;    Complex number;    Klein bottles;    Minimal surfaces;    Non-orientable surfaces;    Projective planes;    Topographic map;    Visual recognition;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/437/1/012024/pdf
DOI  :  10.1088/1742-6596/437/1/012024

来源: IOP

【 摘 要 】

We present a unified principle for science that surmounts dualism, in terms of torsion fields and the non-orientable surfaces, notably the Klein Bottle and its logic, the Mobius strip and the projective plane. We apply it to the complex numbers and cosmology, to non-linear systems integrating the issue of hyperbolic divergences with the change of orientability, to the biomechanics of vision and the mammal heart, to the morphogenesis of crustal shapes on Earth in connection to the wavefronts of gravitation, elasticity and electromagnetism, to pattern recognition of artificial images and visual recognition, to neurology and the topographic maps of the sensorium, to perception, in particular of music. We develop it in terms of the fundamental 2:1 resonance inherent to the Mobius strip and the Klein Bottle, the minimal surfaces representation of the wavefronts, and the non-dual Klein Bottle logic inherent to pattern recognition, to the harmonic functions and vector fields that lay at the basis of geophysics and physics at large. We discuss the relation between the topographic maps of the sensorium, and the issue of turning inside-out of the visual world as a general principle for cognition, topological chemistry, cell biology and biological morphogenesis in particular in embryology.