Jing Space Theory

Jing Space Theory (JST) and the Jing Space Coordinate System (JSCS): A General Structural Model of Multidimensional Space This paper introduces Jing Space Theory (JST) and the Jing Space Coordinate System (JSCS), proposing a unified, holographic, and non-collapsing structural mapping model of real multidimensional space. At the foundation of the theory is the JSCS Core Equation: [\boxed{R^2=\sum_{j=0}^{N}(\alpha_j x_j)^2=N(\alpha r)^2,}] where (R) represents the global structural radius, (r) the local structural radius, (\alpha_j) and (\alpha) the structural correction coefficients, and (N) the structural counting parameter. The theory describes multidimensional space through a unified local-to-global structural relationship, incorporating universal normalization, conjugate transformations, and the one-axis–two-poles topology law. Its non-collapse principle preserves structural existence across zero and infinity singularity transformations. Motion is characterized by the structural displacement equation (\Delta J=L-R), with time interpreted as displacement rather than an independent spatial dimension. JST/JSCS proposes a general algebraic framework for representing real-space structures, dimensional recursion, structural motion, and their relationships to fundamental mathematical and physical problems. 荆空间理论(JST)与荆空间坐标系统(JSCS):多维空间的一般结构模型 本文提出荆空间理论(Jing Space Theory,JST)及荆空间坐标系统(Jing Space Coordinate System,JSCS),建立一个统一的、全息的、无塌陷的真实多维空间结构映射模型。 理论以 JSCS 多维空间一般核心公式为基础: [\boxed{R^2=\sum_{j=0}^{N}(\alpha_j x_j)^2=N(\alpha r)^2,}] 其中,(R) 表示全局结构半径,(r) 表示局部结构半径,(\alpha_j) 与 (\alpha) 为结构修正系数,(N) 为结构计数参数。 该理论通过局部与全局结构的统一关系描述多维空间,并引入普遍归一化定律、共轭变换及一轴两极拓扑定律。其无塌陷原则强调结构在零与无穷大奇点转换过程中保持存在,而不因参数的零值或奇异状态消失。 空间运动由结构位移公式 (\Delta J=L-R) 描述,时间被定义为位移,而非独立的空间维度。 JST/JSCS 旨在为真实空间结构、多维递归、结构运动及其与数学和物理基本问题之间的联系提供统一的代数描述框架。