This extended version develops a theoretical framework for understanding forms of intelligence that cannot be captured by conventional scaling methods. The study examines how internally driven dynamics can give rise to resonant coherence, and provides an analytical treatment of the critical emergence threshold (μc). The work further clarifies the structural and mathematical transition between linear and nonlinear representation regimes and relates these transitions to recent theoretical results on isotropic embeddings in JEPA-based models. These observations identify conditions under which stable emergent coherence can arise—conditions that exceed the capabilities of current optimization-centered agent systems and hold conceptual relevance for AGI foundations. A phase-based generative formulation and a spatially modulated field model are introduced to explain how objective structures may emerge endogenously from internal dynamics. The analysis contributes to current discussions on coherence formation in high-dimensional systems and offers implications for the theoretical foundations of future foundation-model architectures.
Suzuki Noriyuki (Tue,) studied this question.