GeometroDynamic Unification (GDU) Spacetime as a Unifying Force for Quantum Gravity and Entanglement

AbstractI propose the GeometroDynamic Unification (GDU) , a novel theoretical framework in which spacetime itself acts as the fundamental force, unifying gravity and quantum mechanics without introducing new particles (e.g. gravitons). In the GDU, the spacetime field 𝑆𝜇𝜈 dynamically mediates interactions through its intrinsic geometry, replacing the conventional metric 𝑔𝜇𝜈 with an active, quantizable structure. Key features include:1. Entanglement as a curvature of spacetime: Non-local quantum correlations emerge from deformations of 𝑆𝜇𝜈, resolving the non-locality paradox.2. Emergent classicality: Decoherence arises from thermodynamic fluctuations of 𝑆𝜇𝜈, bridging the quantum and classical regimes.3. Experimental signatures: Predictions include modified gravitational potentials in entangled systems and high-frequency gravitational waves from quantum transitions. The GDU recovers General Relativity (GR) in the classical limit, eliminating singularities and providing a geometric origin for dark energy. IntroductionThe unification of quantum mechanics and gravity remains the deepest challenge in physics. Existing approaches—string theory, loop quantum gravity, or emergent gravity—rely on exotic particles or discrete spacetime structures, often lacking experimental accessibility. Here I present GeometroDynamic Unification (GDU) , a paradigm shift in which spacetime is a dynamic force field 𝑆𝜇𝜈, which unifies all fundamental interactions through geometry alone.Fundamental Principles1. Spacetime as a Force: 𝑆𝜇𝜈 replaces both the metric and the 𝑔𝜇𝜈 gauge fields , with its deformations directly generating gravity, electromagnetism and nuclear forces.2. Quantum-Gravitational Synthesis: Entanglement is encoded in the non-local correlations of 𝑆𝜇𝜈, avoiding the need for gravitons.3. Geometric Decoherence: Classicality emerges from the thermodynamic limit of fluctuations 𝑆𝜇𝜈, similar to a phase transition.The mathematical foundation of the GDU generalizes the Einstein -Hilbert action of GR to include self-interactions mediated by 𝑆𝜇𝜈, producing verifiable deviations from GR in extreme regimes (e.g. black holes, early universe). Explanation GDU differs from other theories in the following properties: - Unified phenomena 1. Gravity + Quantum Mechanics (entanglement as spacetime curvature).2.Electromagnetism and nuclear forces as vibrational modes of Sμν.3. Dark energy and dark matter as geometric effects of Sμν fluctuations.4. Resolution of singularities (black holes, Big Bang). - Mathematical simplicity 1. Uses established tools (differential geometry, critical field theory).2. Avoids additional particles (gravitons, WIMPs) and extra dimensions.3. Classical limit reproduces GR without ad hoc modifications. - Advantages 1. Unifies all cosmological forces and phenomena into a single geometric framework.2. Testable predictions (high-frequency gravitational waves, anomalies in entangled systems).3. Less mathematical complexity compared to strings or LQGs. GDU unifies the largest number of phenomena (gravity, quantum mechanics, dark energy, dark matter, fundamental forces) with a simpler mathematical structure than the alternatives. Unlike String Theory, it does not require exotic particles or extra dimensions, and compared to Loop Quantum Gravity, it includes all fundamental interactions. Its ability to reproduce classical GR and offer solutions to open problems (singularity, dark energy) makes it the most promising theory in terms of unification and simplicity. This theory is the only one, so far, that can explain the “Flyby Anomaly”[a discrepancy between current scientific models and the actual increase in speed (i.e., increase in kinetic energy) observed during a planetary flyby (usually of Earth) by a spacecraft] and the “Hubble Tension”[a significant discrepancy in the measurement of Hubble's constant, the parameter that describes the rate of expansion of the universe].