Masaru Unified Mechanics

Classical mechanics is traditionally divided into point mechanics, rigid-body mechanics,fluid mechanics, and deformation mechanics. This historical classification lacks a unifiedmathematical foundation. In this paper, we reformulate mechanics as a hierarchical structurebased on the algebraic progression\[\mathbb{R} \;\to\; \mathbb{C} \;\to\; \mathbb{C}\times\mathbb{C} \;\to\; \mathbb{R}^{11},\]corresponding respectively to point mechanics, rigid/fluid mechanics, deformation mechanics,and high-dimensional structural mechanics. The motion core is governed by the Masaru Equation (complex entropy), while the structuralcore is described by the OS-model, an inherently 11-dimensional discrete--continuousframework. Deformation mechanics requires a new algebraic object, the ${tsui-complex\ number}$ (tsuifukusosu), defined as a pair of complex numbers with two distinct products. Nonlocality, topological transitions, and history-dependent phenomena are naturally absorbedby the 11-dimensional OS-structure. This work provides a unified mathematical foundation formechanics across all scales and regimes.