Gurav-Mesh Stability & Propagation Model (GMSPM): A Mathematical, Architectural, and Jurisprudential Framework for Decentralized Serverless LoRa Networks

Gurav-Mesh Stability & Propagation Model (GMSPM): A Mathematical, Architectural, and Jurisprudential Framework for Decentralized Serverless LoRa Networks Adv. Sanjay Vidya Vijay GuravIndependent Legal Consultant Abstract This research paper presents a comprehensive formal analysis of the Gurav-Mesh Stability & Propagation Model (GMSPM), a decentralized, serverless, and Long-Range (LoRa) based mesh networking framework engineered for extreme communication dead zones, dynamic tactical environments, industrial infrastructures, and vehicular ad-hoc networks (VANETs). Traditional centralized and cellular architectures experience catastrophic collapse during infrastructural failures, natural disasters, or remote deployments. GMSPM resolves these vulnerabilities by integrating strict Hop-Count Time-To-Live (TTL) constraints ($H_{max}$) with a robust Store-and-Forward routing mechanism governed by a rigorous delivery latency equation. This paper details GMSPM's core mathematical formulations, network topology, multi-node propagation dynamics, an autonomous Python simulation implementation, and a comprehensive intellectual property, patent, and copyright analysis under Section 45 of the Copyright Act, 1957, and international patent jurisprudence. 1. Introduction & Background Modern communication ecosystems heavily rely on centralized cellular towers, fiber optics, and continuous satellite connectivity. However, in remote geographical corridors, subterranean mining tunnels, open ocean voyages, deep space habitats, and disaster-stricken zones where communication infrastructure is destroyed, these conventional paradigms fail completely. To address this fundamental whitespace, Adv. Sanjay Vidya Vijay Gurav formulated the Gurav-Mesh Stability & Propagation Model (GMSPM). GMSPM operates on decentralized, serverless LoRa principles. It transforms individual mobile or stationary nodes—such as soldiers, drones, vehicles, and industrial sensors—into autonomous relays capable of carrying, storing, and forwarding data packets without requiring internet connectivity or central cloud servers.