This concept note introduces the Transient Overlap Membrane (TOM) — a cross-domain geometric concept describing the transient state in which a system's latent tension field enters geometric overlap manifestation. TOM is defined through three core axioms: the absence of absolute zero-state in any system (ontological ground); the nature of apparent calm as a local projection of unresolved micro-tensions (phenomenological ground); and TOM as the instantaneous geometric event in which the invisible tension field first enters overlap manifestation (event definition).TOM is a pure geometric event, independent of and making no commitment to external measurability. TOM is formally distinguished from the Preclinical Instability Point (PIP): TOM is internal geometric self-resolution; PIP is the subsequent macroscopic observability transition, conditional on TOM but not necessitated by it. The concept applies across domains including neural dynamics, complex system failure analysis, financial systems, biological systems, and AI governance architectures.
Hui-Pi Lin (Tue,) studied this question.