Phase-Boundary Robustness of Joint Explanatory Inadmissibility Under Universal Physical and Informational Constraints

This work presents a systematic phase-boundary analysis of joint explanatory frameworks subject to universal physical and informational constraints. Building directly on a previously established no-go theorem demonstrating the inadmissibility of joint explanatory ideals—such as unbounded integration, perfect global access, transparent self-modeling, and idealized information processing—this study investigates whether admissibility re-emerges under weakened constraint regimes. Using large-ensemble global simulations, we map the behavior of joint explanatory collapse across continuous variations in irreducible noise and finite energy dissipation. The results show that inadmissibility persists across the entire explored constraint space, with no stable joint explanatory framework observed even in near-idealized regimes. While structured transient internal configurations arise during collapse, these configurations are non-persistent and fail to meet admissibility criteria. The findings demonstrate that the original no-go theorem is not a fine-tuned or parameter-dependent result, but instead reflects a structurally robust incompatibility between joint explanatory demands and universal constraints. This elevates the no-go result from a pointwise impossibility to a global phase-space statement and reinforces the need to reconsider explanatory ideals in constrained physical and informational systems.