Geometric–Dimensional Memory Principle (GDMP)

In this work, we introduce a conceptual hypothesis termed the Geometric–Dimensional Memory Principle (GDMP). We propose that the effective dimensional structure of spacetime may have undergone early phase transitions, leaving long-lived geometric imprints that influence the large-scale organization of matter, the morphology of cosmic structures, and the statistical isotropy of the Universe. Within this framework, motion arises not solely from forces, but from variations in the geometry of admissible trajectories.GDMP does not modify local General Relativity, introduce new interactions, or violate conservation laws. Instead, it provides a geometric reinterpretation of several phenomena traditionally attributed to dark components, offering a testable alternative perspective on cosmic structure formation and large-scale anisotropies.