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Deformable micro-continua in which quantum mysteries reside

Applied Mathematics and Mechanics(English Edition) 2019年第12期40卷 1805-1830页

作者： Heng XIAO Shanghai Institute of Applied Mathematics & Mechanics College of Mechanics and Engineering Science Shanghai University College of Mechanics and Construction Engineering MOE Lab of Disaster Forecast and Control in Engineering Jinan University

Deformable micro-continua of highly localized nature are found to exactly exhibit all quantum effects commonly known for quantum entities at microscopic *** every instant,the spatial configuration of each such micro-continuum is prescribed by four spatial distributions of the mass,the velocity,the internal stress,and the intrinsic angular *** deformability features of such micro-continua in response to all configuration changes are identified with a constitutive equation that specifies how the internal stress responds to the mass density *** is shown that these microcontinua are endowed with the following unique response features:(i)the coupled system of the nonlinear field equations governing their dynamic responses to any given force and torque fields is exactly reducible to a linear dynamic equation governing a complex field variable;(ii)this fundamental dynamic equation and this complex field variable are just the Schrodinger equation and the complex wave function in quantum theory;and,accordingly,(iii)the latter two and all quantum effects known for quantum entities are in a natural and unified manner incorporated as the inherent response features of the micro-continua discovered,thus following objective and deterministic response patterns for quantum entities,in which the physical origins and meanings of the wave function and the Schrodinger equation become self-evident and,in particular,any probabilistic indeterminacy becomes irrelevant.

关键词： quantum entity micro-continuum Hencky strain-energy density nonlinear dynamic equation exact linearization Schrodinger equation deterministic pattern

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