This study investigates the implications of Planck scales on the causality of low-mass particles at very high energies. Utilizing a fractal approach to space-time, we propose novel dynamics for the fabric of space-time and its interaction with special relativity. Our findings indicate that physical values converge at the Planck scale, revealing potential implications for quantum gravity and unified theories. Specifically, the study explores the self-similar properties of fundamental physical constants, the redefinition of vacuum permittivity, and the anomaly in the light cone for low-mass particles. We hypothesize a secondary fermionic causality limit, distinct from the speed of light, which could account for these anomalies. Furthermore, the results suggest that the properties of the vacuum at the Planck scale could offer new explanations for cosmic inflation, the Big Bang singularity, and the nature of dark matter and dark energy. By redefining the Planck length as a compact fractal object, this research opens promising avenues for future investigations into quantum gravity and the unification of fundamental forces.