Year: 2024
Type: article
Abstract: We present a novel approach to defining the mathematical constant π through the infinite den-sification of a sweeping net, which approximates a circle as the net becomes infinitely dense. Bydeveloping and enhancing notation related to sweeping nets and saddle maps, we establish a rigor-ous framework for expressing π in terms of the densification process using reverse integration. Thismethod, inspired by the concept that numbers ”come from infinity,” leverages a reverse integralapproach to model the transition from infinite densification to the finite circle. Our work not onlyoffers a new perspective on the geometric interpretation of π but also provides insights into reverseintegration techniques and their applications in mathematical analysis.
Author: Emmerson, Parker
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6949673341
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