Unification of Quantum Gravity and Higher Curvature Corrections: Towards a Singularity-Free Universe

This paper presents a unified framework integrating quantum-cosmological corrections with higher curvature gravity theories to resolve fundamental problems related to singularities in cosmology. By extending the Einstein-Hilbert action and incorporating corrections such as f(R), Gauss-Bonnet, and Lovelock gravity, the work aims to eliminate singularities both in the Big Bang and black hole scenarios. The model supports the concept of a Quantum Big Bounce that replaces classical singularities, resulting in a non-singular universe evolution. Theoretical predictions are provided for gravitational waves, Cosmic Microwave Background (CMB) anomalies, and large-scale structure formation. This paper aligns its findings with modern advances in quantum cosmology and string theory, offering a novel approach to achieve a more complete, singularity-free cosmological model. [email protected]