The emergence of quantum coherence and quantum correlations is studied in a two-particle system with deformed symmetries arising from the quantum nature of spacetime. It is shown that the deformation of the energy-momentum addition law induces a momentum-dependent interaction that counteracts the decoherence effects described by the Lindblad equation in quantum spacetime. This interaction leads to the formation of coherence, entanglement, and other correlations; for quantitative assessment, concurrence, l₁-norm of coherence, quantum mutual information, and local quantum Fisher information were used. The analysis shows that although the openness of quantum spacetime ultimately destroys entanglement, it also facilitates the creation and preservation of both classical and quantum correlations.
Quantum entanglement is when two particles remain inseparably linked, even if they've flown to opposite ends of the universe. For a long time, it was thought that spacetime curvature destroys this link, making particles 'forget' each other. But new research shows otherwise.
If spacetime at microscopic scales resembles ripples, the usual rules for adding energies and momenta change. A special interaction emerges that protects quantum coherence.
In this way, the deformation of spacetime doesn't hinder but actually helps keep particles in sync, even as the environment increases entropy—a measure of disorder.
The most surprising part: when the quantum link does eventually fade, an ordinary statistical correlation lingers longer. This aligns with John Wheeler's hypothesis of 'quantum foam'—the endlessly churning bedrock of reality. This foam becomes the stage for this astonishing ballet.
🎯 If decoherence didn't destroy quantum effects, a single observation could rewrite reality, and our classical world would never have emerged.