Generation, Survival, and Evolution of Open Complex Giant Systems: Inference Deductions and Isomorphic Proof of OCGS Based on the Non-IID First Principle

Abstract

The long-term survival and evolution of Open Complex Giant Systems (OCGS) remain one of the ultimate challenges in system science and complexity science [1-4]. Grounded in 18 years of industrial physical practice (IPS System) at Lenovo Group and computational breakthroughs of the Intelligent Planning and Control (IPC) Engine [11-15], this paper extracts and establishes the Non-Independent and Non-Identically Distributed (Non-IID) First Principle [4]. This paper explicitly decouples "qualitative deduction" from "formal quantitative proof": citing classical cybernetics, mathematical logic, and economic theorems (such as Wiener's cybernetic boundary constraint [5,6], Arrow's impossibility theorem [8], Gödel's incompleteness theorem [9], etc.) to prove "why it is physically inevitable"; simultaneously, it establishes the Banach space structure/operator fixed point theorem (Banach Fixed Point Theorem) [7], providing a self-contained formal mathematical framework and computability guarantee for closed-loop computability in high-dimensional non-convex phase spaces. The paper establishes a 1-to-1 physical and cybernetic isomorphic mapping between eight qualitative deductions and Qian Xuesen's OCGS theory [1-3], while establishing extremely rigorous Popperian falsifiability boundaries. The academic contribution of this paper lies in attempting to provide a formal computable proof for Qian Xuesen's OCGS theory [1-3], while validating the physical realizability of "human-out-of-the-loop" autonomous closed-loop control through 18 years of industrial validation.