Fractal Dynamical Quantum Gravity II: Preliminary Unified Framework and Parameter-Space Analysis

This preprint presents Version 2 of the Fractal Dynamical Quantum Gravity (FDQG) framework — a theoretical approach to spacetime in which the effective dimensionality and metric structure vary dynamically with scale.Version 2 summarizes the current unified formalism, introduces the fractal-dimension field α(x) as a dynamical degree of freedom, and explores preliminary parameter-space results obtained from analytical and numerical studies of black-hole and cosmological configurations.The paper outlines the modified Einstein-like field equations derived from fractal derivatives and a scale-dependent metric ansatz, discusses potential phenomenological implications near the TeV scale, and highlights the role of the fractal potential V(α) in generating dimensional transitions. This version is preliminary: it focuses on presenting the conceptual structure and numerical outcomes of the model. A forthcoming Version 3 will include the complete field-theoretic derivation, perturbative stability analysis, and renormalization-group treatment of coupling parameters.