The E-Bridge Strategy: Constructing an Exponential Conversion Channel in Infinite Dimensional Mathematics

In classical mathematics, the exponential constant <i>e</i> is widely used to describe continuous growth and decay, interest models, and natural logarithms. However, in the emerging framework of <b>infinite-dimensional mathematics</b>, we propose that <i>e</i> serves as a <b>conversion bridge</b> — a transitional constant that connects the unfathomable scale of infinite trend dynamics with the computable forms of conventional linear mathematics. This paper introduces the theoretical role of <i>e</i> as the "pivot point" between infinite expansion, infinite contraction, and practical computability, and then demonstrates its application using air disturbance analysis in high-speed mechanical systems.<b>Contact</b>: [email protected]