This paper resolves the "Low Entropy Problem" of the early universe within the Baysüngür Quantum Geometry Framework (BQGF). Instead of probabilistic chance, the framework proposes that the initial low-entropy state is a "Geometric Necessity" dictated by the maximum compression limit (r_{min}) at the Baysüngür Bounce (BBM) point. Entropy is redefined as the cumulative density of information sealed onto the Time-Existence (ZV) Field, linking the Arrow of Time directly to the expansion of the universe's information-carrying capacity.