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0.0.7_10方几何空间_CN_260622.6

Authors: guobin ouyang;

0.0.7_10方几何空间_CN_260622.6

Abstract

本文基于 0.0.3(激发态参数空间的两条公理)、0.0.5(约束乘积球面的谱刚性定理)与 0.0.6(第三条基础前提:二维全息屏编码条件,以及辛几何与主丛联络的识别层),建立三者的值域协调与结构联立框架。证明 0.0.6 的六项作用量值域 [24,+∞) 与 0.0.3 的抽象几何量值域 (0,+∞) 严格相容;明确 10方几何空间为具有三分切丛结构、全息屏编码条件、谱刚性特征,以及辛几何与主丛联络识别层的约束乘积球面族。本文不引入任何新的公理或外部假设,并通过谱-投影桥接定理建立从扇区角到 Laplace 谱特征值的显式构造关系,闭合从激发态参数到九维流形生成链在谱数据环节的关键环节。对于从一维激发态参数到三维角度构型的显式连续映射,其构造性定义将在后续文章中建立,本章通过值域协调定理已保证该映射在值域层面的相容性。

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