Micro-Relativity: The Unified Framework of Matter, Antimatter, and Dark Matter Across the Compton–Planck Boundary

This publication presents the unified results of Alessio Gatti’s independent research on Micro-Relativity, a theoretical framework that reformulates the structure of spacetime as a discrete, elastic medium with intrinsic tension and inertia.Within this model, the Compton wavelength defines the fundamental lower limit for coherent spacetime curvature, while the Planck scale marks its maximum elastic tension. The first part (“Antimatter and the Compton Scale in the Framework of Micro-Relativity”) demonstrates that antimatter arises naturally as a phase inversion of the same physical field that produces matter. Below the Compton scale, the energy required for localization triggers a topological reversal of the field, providing a physical explanation for pair creation and establishing λ_C as the fundamental lower bound of existence. The second part (“Micro-Relativity and the Emergent Nature of Dark Matter”) extends these principles to cosmological scales, showing that dark matter emerges as a curvature-energy field—a macroscopic manifestation of microscopic spacetime oscillations near the Compton limit. This formulation reproduces galactic rotation curves (e.g., NGC 3198) without invoking exotic particles, unifying visible matter, antimatter, and dark curvature within a single elastic continuum. Together, these results form a coherent micro-relativistic cosmology, reconciling quantum and gravitational domains and redefining the physical interpretation of mass, inertia, and curvature.