Indeterminacy, Singularities, and Higher-Order Curvature Corrections in Planck-Scale Quantum Gravity

The existence of singularities in General Relativity (GR) suggests a fundamental breakdownof the classical theory at high-curvature regimes. In this work, we propose a reinterpretationof singularities as emergent quantum indeterminacies, where curvature divergences arise due tolimitations of classical spacetime descriptions. By introducing higher-order curvature corrections in the Einstein-Hilbert action, we analyze the stabilization of gravitational collapse and the avoidance of singularities. Connections with quantum gravity frameworks, including Loop Quantum Gravity (LQG), the Wheeler-DeWitt equation, and String Theory, are explored. Additionally, observational implications for gravitational waves, Hawking radiation, and early-universe cosmology are discussed [email protected]