Two Frameworks, One Corpus

The 46-paper corpus appears to contain two distinct theoretical strands: Strand A (displacement framework: S_0, S^*,, D(), C_return, maintenance cadence ^*) applied to systems with well-defined ground states; and Strand B (grammar/Wall/aura framework: incompleteness, resonance tokens, othering, the aura as second function of orientation) applied to linguistic and phenomenological systems.

This paper unifies them. Both describe the same phenomenon—the cost of holding a position in state space—at three distinct regimes: (1) systems where S_0 is well-defined and occupied (finite C_return); (2) systems where S_0 is undefined, split, or permanently unavailable (infinite C_return, the Wall); and (3) systems where S_0 exists only at resonance, locally and transiently (local C_return).

The bridge is topological: the Wall is the mathematical structure of the C_return = limit where ground states bifurcate, and the aura is the necessary grammar for holding such a bifurcation without collapse.