Zhongqiang Liu

T₃分形代数框架: 非结合层级结构、黄金标度律与宇宙学应用T₃ Fractal Algebra Framework: Non-Associative Hierarchical Structure, Golden Scaling Law and Cosmological Applications

Abstract This paper constructs the primitive T₃ fractal algebra framework—a cross-scale unified mathematical structure based on three-dimensional non-associative commutative algebra, with zero free parameters. The multiplication table of e2 = 1 i2 =− 1 ei = 0 primitive T₃ ( , , )...

The Midway Residue Theorem: An Area Law Integral Theory on Non-Associative Algebras 中道留数定理: 非结合代数上的面积律积分理论

Abstract This paper establishes the closed path integral theory on the non-associative algebra ³—the Midway Residue Theorem. The core finding is that the topological invariant (residue) of traditional complex analysis is not transferable to non-associative algebras. Instead, it i...

The Midway Residue Theorem: An Area Law Integral Theory on Non-Associative Algebras 中道留数定理: 非结合代数上的面积律积分理论

Abstract This paper establishes the closed path integral theory on the non-associative algebra ³—the Midway Residue Theorem. The core finding is that the topological invariant (residue) of traditional complex analysis is not transferable to non-associative algebras. Instead, it i...