How Gravity Makes Particles Inseparable ✛ ✎ ✦

Original: "Entanglement generation in a two-body Schrödinger--Newton model"
arXiv:2605.06577v1 · 2026-05-07 · arXiv non-exclusive · independent analysis · 1 min
Mutual attraction of particles gives rise to quantum entanglement, like a dance, while self-interaction is just stomping in place.

The main intrigue: does gravity obey quantum laws? If so, mutual attraction of particles weaves them into quantum entanglement — like a dance where the partners' movements are inseparable. But self-interaction is just staring at your own reflection, giving birth to no connection. Physicists ran numerical simulations of two bodies on a line, like tightrope walkers on a thread. It turned out that fuzzy blobs entangle strongly (entropy measure 0.87), dense clumps weakly (0.19). But if one particle is more massive, like a heavy dancer, it smashes its partner into fragments, sharply boosting the bond to 1.67 — an almost perfect duet. No collapse of their superpositions is needed. Conclusion: gravity is quantized. This changes the worldview and pushes for experiments with levitating beads that will 'feel' the quantum measurement of gravity. And quantum information will unlock new technologies. By the way, the Schrödinger–Newton equation, invented to counter the 'blurring' of reality, now works in dark matter models.

The Schrödinger–Newton equation was once invented to explain why large objects don't smear into a quantum haze. Today it is unexpectedly used to calculate dark matter and boson stars.

S_{vN} = -\sum_k \lambda_k \ln \lambda_k
The larger S, the more strongly the two particles are intertwined.
Scientists
Albert EinsteinBarry BarishKip ThorneRichard FeynmanRussell HulseWilliam Wootters
Concepts
Schwinger effect entanglement generation photon pair generation gravitational entanglement Schrödinger equation newtonian gravity Klein-Gordon equation spontaneous emission entanglement