This work proposes the Bosonic Vacuum framework: a unified, calculational language of vacuum response in which the quantum vacuum is treated as an active medium. Its central idea is that infrared vacuum structure can be organized in terms of two universal state variables a stiffness or amplitude coordinate, typically realized as a radion or dilaton, and a compact phase, typically realized as a Wilson-line holonomy or axion-like angle whose interplay naturally gives rise to branches, defects, metastability, anomaly inflow, and memory effects such as hysteresis. The framework is developed across controlled examples including Schwinger theory on T2, holonomy EFT on R^ (3, 1) × S1, non-Abelian holonomy walls, holonomy-radion landscapes, winding selection on T6, and modular deep-well structures. It is then compared with Jackiw-Teitelboim gravity, where the dilaton and Schwarzian boundary mode provide a complementary infrared realization of the same response-based logic. The proposed BV-JT correspondence is a structural dictionary rather than a microscopic identification. Its aim is to provide a common language for vacuum structure, branch dynamics, defect physics, spectral data, and gravitational infrared response across models.
Dariusz Staniszewski (Thu,) studied this question.