Gravity and quantum information linked through a derivation of Einstein’s equations

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Phys.org • October 12, 2026

Recent research published in the journal *Physical Review Letters* links gravity and quantum information by deriving Einstein’s equations from thermodynamic principles. While Einstein’s general relativity describes gravity as the curvature of spacetime caused by matter, this study suggests that such curvature emerges from how information is stored in quantum fields. The authors build on earlier work by physicist Ted Jacobson, who showed in 1995 that Einstein’s equations could be derived from thermodynamics, implying gravity might not be a fundamental force but an emergent property of something deeper.

The researchers use a precise mathematical measure called quantum relative entropy to quantify how distinguishable two quantum states are. They apply this concept to horizons, which act as boundaries in spacetime where information cannot escape. Dr. Albert Much explains that the quantity calculated at these horizons equals the energy flowing across them. When combined with the established relationship between entropy and horizon area described by Bekenstein and Hawking, this leads directly to the equations describing how quantum matter curves spacetime.

The authors argue their proof is significant because it replaces earlier heuristic arguments with a rigorous mathematical framework. Although many ingredients for this connection were known for decades, recent progress in understanding relative entropy provided the missing link. Coauthor Philipp Dorau notes that while most components have been studied since the 1990s, the specific application of quantum information theory offers a new perspective on how local spacetime curvature relates to quantum states.

This work does not yet have immediate practical applications but aims to deepen our understanding of nature’s foundations. Much compares the result to plucking a guitar string, where matter is the pluck and Einstein’s equations are the resulting note. The findings suggest that gravity is rooted in quantum information, potentially serving as a test bed for future theories of quantum gravity. The team plans to extend these results to more general scenarios to clarify how far gravity can be derived from quantum information alone.

Source: Phys.org • October 12, 2026

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