Cosmic Morphogenesis: N-Dimensional Manifold Topology, Einstein-Rosen Bounce Mechanism, and Observable Signatures in the CMB and Gravitational Waves

Standard cosmology based on the FLRW metric predicts an inevitable initial singularity at $r=0$. In this work, we formalize the framework of Fruitful Cosmology, where a new universe arises as the topological consequence of gravitational collapse within a higher-dimensional progenitor bulk of dimension $N \\ge 5$. By employing a non-minimally coupled scalar field and a quantum correction function, the singularity is avoided and transformed into a traversable Einstein-Rosen bridge (Quantum Bounce). We derive strict global energy conservation in the bulk and present concrete observable signatures: a $-(14.3\\% \\pm 0.8\\%$ suppression in CMB B-mode polarization for low multipoles ($l < 10$) verifiable by CMB-S4, and gravitational wave echoes at a fundamental frequency of $f_{\\text{eco}} \\approx 1.423$ mHz within the LISA sensitivity window.