Zhongqiang Liu

Intrinsic Dissipation in Nonassociative Algebras: Structural Classification of a Three-Dimensional Dissipative Algebra and an Integrable Quantum Toy Model 非结合代数中的内禀耗散:三维耗散代数的结构分类与一个可积量子玩具模型

Abstract This paper studies the complete structure of a three-dimensional commutative nonassociative algebra (Three-Dimensional Dissipative Algebra, TDDA) defined by three axioms Σ(e²=1, i²=−1, ei=0), and its relation to the framework of quantum mechanics. There are four main res...

Intrinsic Dissipation in Nonassociative Algebras: Structural Classification of a Three-Dimensional Dissipative Algebra and an Integrable Quantum Toy Model 非结合代数中的内禀耗散:三维耗散代数的结构分类与一个可积量子玩具模型

Abstract This paper studies the complete structure of a three-dimensional commutative nonassociative algebra (Three-Dimensional Dissipative Algebra, TDDA) defined by three axioms Σ(e²=1, i²=−1, ei=0), and its relation to the framework of quantum mechanics. There are four main res...

Tensor Product Structure and Non-associative Entanglement Degree非结合代数的张量积结构与非结合纠缠度

Abstract This paper studies the associator operator structure on the two-body state space of the three-dimensional dissipative algebra (TDDA), defined by three axioms , , . Three core results are obtained. First, the decomposition theorem shows that the associator operator of pur...

Complexified 3D Numbers: An Algebraic Framework for the Riemann Hypothesis 复化三维数:研究黎曼猜想的代数框架

Abstract 摘要 English:We introduce and systematically investigate the algebra of complexified 3D numbers , a six-dimensional real algebra (three-dimensional complex algebra) obtained by extending the base field of the non-associative 3D phase-geometric system from to . Through fi...

Golden Steady-State as Spectral Attractor: Riemann Zero Spacing Ratios and the Discrete Functional Geometry of Prime Hierarchical Dissipation 黄金稳态作为谱吸引子:黎曼零点间距比与素数层级耗散的离散泛函几何

Abstract We present numerical evidence that the symmetric spacing ratios of the first 5000 non-trivial zeros of the Riemann zeta function exhibit a statistical center at the golden ratio conjugate , rather than the Gaussian Unitary Ensemble (GUE) limit predicted by random matrix...

TDDA Quantum Chaos and a Novel Universality Class of Random MatricesTDDA 量子混沌与一类全新随机矩阵普适类

摘要 本文基于三维耗散代数(TDDA)两体态空间 ,提出并论证了一种全新随机矩阵普适类,命名为TDDA 强普适类。依托累计超 40000 组数值样本开展系统性模拟实验,结果表明:定义于正度规物理子空间的 TDDA 左乘算子系综,能级近邻间距比统计特征显著区别于经典高斯正交系综(GOE)与高斯酉系综(GUE);其间距比均值...

TDDA Quantum Chaos and a Novel Universality Class of Random MatricesTDDA 量子混沌与一类全新随机矩阵普适类

摘要 本文基于三维耗散代数(TDDA)两体态空间 ,提出并论证了一种全新随机矩阵普适类,命名为TDDA 强普适类。依托累计超 40000 组数值样本开展系统性模拟实验,结果表明:定义于正度规物理子空间的 TDDA 左乘算子系综,能级近邻间距比统计特征显著区别于经典高斯正交系综(GOE)与高斯酉系综(GUE);其间距比均值...