Reference Surface Theory: Reference Surfaces as Cultural Phase Regulators in Hourglass Geometry

This paper extends Prospect Theory by replacing the traditional point-based reference framework with a surface-based evaluative model. While Prospect Theory explains how value is distorted around a single reference point, it cannot represent decisions shaped by relational alignment, social justification, and cultural legitimacy. Reference Surface Theory (RST) introduces the concept of Reference Surfaces—multidimensional evaluative planes on which agents optimize decisions. Two dominant orientations are identified: External-dominant surfaces, prioritizing visible performance, outcomes, and instrumental success Internal-dominant surfaces, prioritizing relational alignment, face stability, and justification coherence Behavioral differences are thus reinterpreted not as irrationality, but as Phase Rationality: rationality depends on which evaluative surface is optimized, not merely how accurately calculations are performed within a fixed utility space. Integrating the Hourglass framework, the paper reconceptualizes risk-taking as quadrant navigation rather than outcome gambling. Risk is treated as a form of phase trajectory engineering, shaping movement across External–Internal surfaces to preserve recoverability and avoid irreversible fixation (Q4). The framework is further aligned with the Minimal Measurement Set (MMS) and Recoverability-Based Evaluation (RBE), shifting diagnostic focus from performance to structural survivability. Collapse is defined not by boldness or uncertainty, but by the convergence of recoverability erosion indicators (|PLV|↑, D/IW↓, τ/ΦDark↑). To address cultural decision anomalies—particularly in East Asian contexts—the paper formalizes Justification Capital (JC) as the primary evaluative currency of Internal-dominant surfaces. JC integrates social resonance, responsibility, transcendence, and awareness (S·C·T·A), explaining why large monetary losses may be tolerated when relational legitimacy is high, and small losses avoided when justification is insufficient. A non-linear Chem-yeon regulation model is proposed, in which evaluative surface switching occurs through threshold effects rather than linear blending. The paper also introduces Reference Surface Orientation (RSO) as a measurable construct, with survey instruments and framed behavioral tasks enabling empirical assessment of surface dominance, flexibility, and justification sensitivity. Ethical risks are explicitly addressed. Justification-aware systems—whether in AI, marketing, policy, or organizational design—may drift toward conformity control if justification structures are weaponized. The paper therefore emphasizes phase freedom: preserving the ability to switch, reflect, and recover across evaluative surfaces. Rather than modeling humans as imperfect utility maximizers, this work proposes a new archetype: Homo Phaseicus — agents who navigate meaning, justification, and alignment across shifting reference surfaces. This work is an exploratory contribution situated within the IPCSALT–UPF phase-based meta-framework.