本文提出并严格形式化了“迹–寄–记 (Trace–Parasite–Memory, TPM) ”存在论框架的数学升级版本。 在明确公理系统下, 我们构造了一个由双扇区关系子空间与单中心封装子空间组成的李代数结构, 并证明: 1. 该结构在代数上构成合法的11维李代数;2. 在TPM公理系统约束下, 其维数被强制为2n+1形式, 并由完备指数n=5唯一确定为11维;3. 该结构在李代数同构意义下唯一, 同构于标准Heisenberg型结构;4. 内外翻转对应一个反自同构映射, 揭示存在边界与核心的对偶关系;5. 相变阈值与三层结构 (迹–寄–记) 在代数分解中获得严格表达;6. 封装边界诱导离散谱, 从而给出量子离散性的结构来源;7. 最终统一存在公式被压缩为关系卡扣算符 Xᵢ, Yⱼ = Ωᵢj Z。 该工作旨在将“存在即关系”的本体论命题提升为可形式操作的代数结构, 为11维自洽结构提供绝对唯一性的数学基础。 --- This work presents a rigorous mathematical upgrade of the Trace–Parasite–Memory (TPM) ontological framework. Within an explicit axiomatic system, we construct a Lie algebra composed of dual relational sectors and a single central encapsulation sector, and prove: • The structure forms a legitimate 11-dimensional Lie algebra;• Its dimension is forced to the form 2n+1 and uniquely fixed at 11 under TPM completeness (n=5) ;• The algebra is unique up to isomorphism and reducible to the standard Heisenberg-type form;• Inner–outer inversion corresponds to a Lie anti-automorphism;• Phase transition thresholds and the three-layer TPM structure obtain algebraic representation;• Boundary encapsulation induces discrete spectra;• The unified existence equation compresses into the relational locking operator. This manuscript establishes the absolute uniqueness of the 11-dimensional TPM structure as a formal mathematical ontology.
cui shuilong (Wed,) studied this question.