Quantum Geometric Unification (QGU), a new theoretical framework that resolves the fundamental incompatibility of General Relativity (GR) and Quantum Mechanics (QM).

The paper titled "Quantum Geometric Unification: Toward a Consistent Framework of Gravity and Quantum Mechanics" presents a formal theoretical framework that seeks to reconcile the long-standing incompatibility between General Relativity (GR) and Quantum Mechanics (QM). While GR describes gravity as the smooth curvature of spacetime at macroscopic scales, QM treats physical phenomena as discrete and probabilistic at microscopic scales. These two foundational theories, despite their empirical success, remain mathematically inconsistent in regimes such as black holes and the early universe. The proposed framework, Quantum Geometric Unification (QGU), advances the idea that spacetime itself is not continuous but composed of discrete geometric quanta at the Planck scale. To formalize this, the paper introduces a new mathematical structure, the Graviton–Geometry Tensor, which replaces the stress–energy tensor of GR and provides a unified description of matter–geometry interactions. Within this framework, several long-standing paradoxes are addressed. In particular, QGU eliminates singularities by predicting finite, bounded curvature, and suggests that information is encoded in the structure of geometric quanta, thus preserving consistency with fundamental conservation principles. To establish empirical relevance, the paper specifies two falsifiable predictions accessible to current or near-future experimental facilities: Quantization noise in gravitational waves, observable as small deviations from GR in data collected by detectors such as LIGO and Virgo. Scattering anomalies at high energies, manifesting as subtle deviations from Standard Model predictions in collider experiments such as those conducted at the LHC. Finally, the work outlines a developmental roadmap for future applications of QGU, organized into three phases: validation of predictions through specialized detectors, early engineering applications at laboratory scales, and long-term technological possibilities including novel propulsion systems and quantum–gravity computation.