A Unified Geometric Framework: Emergent Gravity, Matter, and Dark Sectors from a Recursive Geometric Field

This work presents a unified geometric framework in which gravity, matter, and dark sector phenomena emerge as effective regimes of a Recursive Geometric Field (RGF). Rather than introducing new particles, dynamical fields, or modifications to the Einstein–Hilbert action, the RGF is defined as a non-dynamical, phenomenological geometric structure that encodes the large-scale recursive organization of spacetime. Within this picture, familiar cosmological phenomena are interpreted as scale-dependent manifestations of geometry, while local gravitational physics remains fully consistent with General Relativity. Late-time cosmic acceleration arises naturally from an effective geometric expansion law governed by a…