Field-Construction Tools for the Future Self-Manifestation Era: The General Formula of Self-Manifestation Potential Guidance

This paper investigates a central problem: If future open-ended generative systems cannot be directly constructed through static modules, finite rules, and parameter scaling, then how should the future Self-Manifestation Era construct field-construction tools? This paper argues that the core tools of the future Self-Manifestation Era will no longer be merely static programs or finite-response systems, but open generative field structures involving: * law-fields; * Self-Manifestation Fields; * world-fields. Therefore: the construction of such fields will become a central problem of future engineering. The paper further argues that genuinely open complex field structures are not prewritten static structures, but gradually emerge as historical continuations continuously reshape future continuation tendencies. Therefore, once a system must sustain: * familiar paths; * tuning competition; * historical persistence; * stable reality retention; * open-ended generation; the system must permit: * differentiation; * biased-flow growth; * continuation accumulation; * potential retention; * open restructuring; * potential guidance. On this basis, the paper establishes: Field-Induction = (Δ,F,A,S,T,R,G) describing how complex field structures gradually emerge through differentiation, biased flow, continuation accumulation, local potential retention, tuning, open restructuring, and potential guidance. The paper further provides two formal appendices: “The Expression Formula of Self-Manifestation Potential” “The Limit Formula of Potential Guidance” The former describes how complex field structures emerge. The latter demonstrates why finite static systems cannot sustain genuinely open self-organization over the long term. The paper ultimately argues that finite static systems cannot sustain open-ended self-organization. Training is therefore not Self-Manifestation itself, but merely one engineering implementation of finite potential shaping. A true Self-Manifestation Field must remain embedded within open history.