Geometric Dynamics of Consumer Credit Cycles: A Multivector-based Linear-Attention Framework for Explanatory Economic Analysis
Agus Sudjianto, Sandi Setiawan
本研究引入了几何代数,将信用系统关系分解为它们的投射(相关性状)和旋转(反馈螺旋)组件。 我们代表经济国家作为克利福德代数的多向量,其中双向量元素捕获失业,消费,储蓄和信贷利用之间的旋转耦合。 这个数学框架揭示了传统分析看不见的相互作用模式:当失业和信用收缩进入同时的反馈循环时,它们的几何关系从简单的相关性转变为表征系统性危机的危险旋转动力学。
This study introduces geometric algebra to decompose credit system relationships into their projective (correlation-like) and rotational (feedback-spiral) components. We represent economic states as multi-vectors in Clifford algebra, where bivector elements capture the rotational coupling between unemployment, consumption, savings, and credit utilization. This mathematical framework reveals interaction patterns invisible to conventional analysis: when unemployment and credit contraction enter si...