The volume-free semi-algebraic chamber decomposition conjecture for K-stability

The wall-crossing setup concerns a log-bounded family $\widetilde{\mathcal{G}}$ subject to a volume condition $(\clubsuit)$, under which Theorem

$$establishes a semi-algebraic chamber decomposition. **Volume-free chamber decomposition conjecture.** Theorem$$

still holds without the volume condition $(\clubsuit)$. This would show that the semi-algebraic chamber decomposition persists under the log-boundedness assumption alone, removing the volume hypothesis used for the boundedness arguments and the proof of the chamber structure.