The Core Emotion Framework (CEF) is a canonical, architecture-level model that defines the foundational structure of human emotional processes. This document presents the minimal, formal specification of the CEF, suitable for citation as the authoritative reference for the framework. The CEF organizes ten core emotional processes into three functional centers—Head, Heart, and Gut—establishing a systematic, hierarchical architecture for emotional regulation and psychological flourishing. The framework is presented with precise terminology, formal operator definitions, and explicit statements of directionality and scope. All language is refined for clarity, precision, and scholarly tone, in compliance with Zenodo metadata and licensing requirements. This document is intended as the definitive reference for the CEF model, excluding examples and commentary, and maintaining strict internal consistency across all sections. Keywords: Core Emotion Framework, CEF, emotional architecture, structural-constructivist model, emotional regulation, canonical model, Zenodo, minimal definition, Head-Heart-Gut, operators, directionality, formal specification