Nested Self‑Amplifying Hypergraphs: A New Framework For Endogenous Growth

17 Jun

Authors: Dr. Tejavath Ramesh

Abstract: This paper introduces Nested Self‑Amplifying Hypergraphs (NSAHs — a completely new mathematical structure for modeling how economies grow from within. Unlike standard models that assume simple, pairwise interactions, NSAHs capture three real‑world features: (1 many activities can combine at once (hyper‑edges, (2 the output of a process can feed back to strengthen itself (self‑amplification, and (3 small‑scale processes nest inside larger ones, passing along their gains. We show that such a system naturally generates sustained growth without external shocks. An implementable algorithm is provided, and a synthetic example demonstrates the idea. No part of this framework exists in prior literature.

DOI: http://doi.org/10.5281/zenodo.20726301