Gravitational Shadow of Bulk Entropy: A Hypothesis of Dark Matter and Dimensional Transition

This study proposes a thermodynamically motivated framework in which black holes function as transdimensional entropy valves, expelling information into higher-dimensional bulk space. The resulting structures create gravitational effects that manifest on the brane as dark matter-like phenomena. The model introduces two novel concepts: the Gravitational Shadow of Bulk Entropy and the Entropic Freeze Interval. The former reinterprets dark matter as a projection of high-density entropy gradients in the bulk. The latter represents a thermodynamically frozen phase following entropy saturation, triggering a topological phase transition into a higher-dimensional configuration. Observational signatures such as gravitational wave anomalies, deviations in the dark energy equation of state w(z), and CMB anisotropies are discussed. The model offers a multidimensional reinterpretation of gravity, entropy, and time, and contributes to the broader discourse in cosmology and quantum gravity phenomenology.