cs.LGMar 31, 2026

From Dispersion to Attraction: Spectral Dynamics of Hallucination Across Whisper Model Scales

Authors: Ivan ViakhirevKirill BorodinGrach Mkrtchian

Organizations: Information Technologies, Mechanics and Optics University, Russia · lab260, Moscow Technical University of Communications and Informatics, Russia · BitmanagerAI, UAE

Abstract

Hallucinations in large ASR models present a critical safety risk. In this work, we propose the \textit{Spectral Sensitivity Theorem}, which predicts a phase transition in deep networks from a dispersive regime (signal decay) to an attractor regime (rank-1 collapse) governed by layer-wise gain and alignment. We validate this theory by analyzing the eigenspectra of activation graphs in Whisper models (Tiny to Large-v3-Turbo) under adversarial stress. Our results confirm the theoretical prediction: intermediate models exhibit \textit{Structural Disintegration} (Regime I), characterized by a 13.4%13.4\% collapse in Cross-Attention rank. Conversely, large models enter a \textit{Compression-Seeking Attractor} state (Regime II), where Self-Attention actively compresses rank (2.34%-2.34\%) and hardens the spectral slope, decoupling the model from acoustic evidence.

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