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.