Formalization of the Nautilus Operator Stack: From Emergence to Cosmological Event

This document provides a formal mathematical codification of Nautilus Theory as a subservient interpretive framework. The operator stack (T stabilization, T emergence, L structuring) is derived in detail from the unified Nautilus action and coherence functional. Local limits explicitly recover standard linear growth and the Poisson equation. Baseline coefficients are independently calibrated from three datasets. New predictions independent of calibration are provided. The framework remains fully compatible with GR and ΛCDM while offering a unifying layer for large-scale anomalies.本文正式将鹦鹉螺理论（Nautilus Theory）形式化为一套从属解释框架，并完成其数学形式化编纂。算子栈（T稳定化、T涌现、L结构化）由统一的鹦鹉螺作用量与相干泛函详细推导得出。局部极限可明确复现标准线性增长与泊松方程（Poisson equation）。基线系数通过三个数据集独立校准获得。本文同时提供了独立于校准流程的全新预测结果。该框架可完全兼容广义相对论（GR）与Λ冷暗物质模型（ΛCDM），同时可为大尺度异常现象提供统一的理论层面。