Recursive Gravitational Inheritance (RGI) Cosmology: A Cyclic Universe of Accumulated Structure

The universe does not begin; it inherits. This paper presents Recursive Gravitational Inheritance (RGI) cosmology, a cyclic framework grounded in Loop Quantum Cosmology. It proposes that dark matter and dark energy are not fundamental to each cycle but are accumulated residue—compact remnants and a slowly rolling field—from all prior cycles. The model makes testable predictions: a gravitational wave signal r≈0.004r≈0.004, a geometric dark matter accumulation law linked to the baryon density, and a k−1/2k−1/2 suppression of large-angle CMB power. It offers a structural explanation for the JWST observation of massive early galaxies and the cosmic coincidence problem, while honestly assessing its open questions, including the degeneracy between the number of cycles and the axion decay constant.