Baysüngur Quantum Geometry Framework (BQGF) Part VIII: Entropy as a Geometric Necessity and the Initial State Calibration

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.