Researchers from the University of Leipzig have demonstrated a mathematical link between quantum information theory and Einstein's equations of gravity. The study, published in Physical Review Letters, suggests that spacetime geometry may be fundamentally connected to the quantum properties of matter rather than solely to its mass and energy.
The team utilized quantum relative entropy to measure the distinguishability between two quantum states. By analyzing a scalar quantum field near a horizon, they established that the relative entropy between a vacuum state and its excitation correlates with energy flow. When combined with the Bekenstein-Hawking formula, this flow links to changes in the horizon's area.
This derivation builds upon Ted Jacobson's 1995 research, which connected gravitational equations to thermodynamics. The new study refines this by replacing classical entropy with a more precise metric from quantum information theory, showing that changes in quantum states influence spacetime curvature.
The findings remain a theoretical framework rather than an experimentally verified theory of gravity. The model relies on specific assumptions regarding the relationship between entropy and area, as well as calculations for a limited class of quantum states and local horizons.
Future research will aim to extend this approach to broader quantum states and diverse geometric conditions. The authors intend to investigate whether this information-theoretic perspective can contribute to the development of a comprehensive theory of quantum gravity.
