The Causal Dimension Framework: A Comprehensive Synthesis of Emergent Spacetime Dimensionality

Modern theoretical physics is challenged by severe observational anomalies across multiple scales of reality: the requirement of Dark Matter to stabilize galaxy rotation curves, the Cosmological Constant Problem (Vacuum Catastrophe) at the quantum scale, and the unexpectedly rapid formation of massive galaxies observed by the James Webb Space Telescope (JWST). This paper presents a conglomerate of research addressing these disparate anomalies through a unified model: the “Causal Dimension Framework.” By modeling spacetime as a background-independent, discrete quantum network, we establish that effective spatial dimensionality acts as a dynamic variable inversely proportional to local mass-energy density. We demonstrate that this density-dimension relation natively generates flat galactic velocity profiles, provides a mechanism for hyper-accelerated accretion in the dense early universe, and mathematically forbids Planck-scale vacuum energy in a relaxed 3-dimensional universe.