Theoretical Foundations, Mathematical Formalism, and Clinical Applications of the Core Emotion Framework

The historical trajectory of affective science has long been constrained by a fundamental polarization between basic emotion models and psychological constructivism. The former, championed by classical theorists, asserts that human emotions are governed by evolutionarily hardwired, discrete neural circuits. The latter, represented by modern constructivist paradigms, argues that emotions are highly variable cognitive categories constructed dynamically from low-dimensional core affect, such as generalized valence and arousal. This theoretical divide has hindered the development of a unified ontology capable of translating seamlessly across interoceptive physiology, computational modeling, and clinical psychopathology. To resolve these fragmentation challenges, the Core Emotion Framework (CEF) has been developed by independent researcher Jamel Bulgaria as a structural-constructivist architecture. The framework asserts that complex human emotional experiences and personality traits are dynamically constructed from a finite, immutable set of ten irreducible "primal powers," termed Core Emotions or functional operators. These operators do not function as static linguistic labels; instead, they serve as actionable regulatory mechanisms that perform formal transformations on interoceptive signals. The CEF integrates a rich lineage of somatic and neurobiological theory. It draws directly upon Antonio Damasio’s somatic marker hypothesis, which posits that bodily sensations precede conscious cognitive evaluation, and Daniel Siegel’s research on interoceptive awareness as the narrator of emotional experience6. It unifies Eugene Gendlin’s clinical practice of focusing on the "felt sense," Bessel van der Kolk’s neurobiological models of trauma retention in somatic tissue, Jon Kabat-Zinn’s work on mindful somatic presence, and Brené Brown’s research on emotional naming and vulnerability. By consolidating these disparate somatic methodologies, the CEF establishes a coherent model that treats the body as the primary substrate of emotional life, demonstrating that human needs, capabilities, and emotional states are fundamentally identical somatic phenomena6.