哥德尔渔网:面向任意可定义域的观测框架

Abstract

This paper introduces **Gödel 渔网 (Yúwǎng)**, an observation framework whose initial scope is any **可定义域 (kě dìngyì yù; designated domain)**. A 可定义域 need only be capable of being designated as a whole as the current object of observation. Its internal structure need not already be formalized, computable, consistent, or completely observable. From such a domain, an observer may select a finite observation chain that produces a finite formal expression; a final coding observation then records that expression as a mechanically recoverable two-coordinate lattice pattern. The framework defines three native concepts: 渔网 (Yúwǎng), 气泡 (Qìpào), and 认知致密浆糊 (rènzhī zhìmì jiānghú). Yúwǎng records and recovers a terminal formal expression. Qìpào separates a completed observation chain from later chains by an explicit stopping condition. Rènzhī zhìmì jiānghú denotes the triggered state in which every level is required to undergo a further justificatory observation and no finite stopping condition is accepted. The paper provides a minimal construction, a joint satisfiability witness, boundary constraints, and failure conditions. Recoverability applies only between the terminal formal expression and its Yúwǎng pattern; it does not imply faithful or complete recovery of the initial domain. Prompt hijacking in large language models is a prospective application, reserved for separate work.