Classical Gravity Distorts Quantum Snapshots ⚡ экспресс
The authors studied how classical gravity (the Schrödinger-Newton theory) affects the tomography of a massive quantum oscillator. State-dependent corrections arise: the reconstructed covariance matrix becomes sensitive to observation angles and can even exceed the bounds set by the uncertainty principle. The difference from the quantum model was assessed using the Hellinger distance, revealing its dependence on temperature and measurement strength. Essentially, this is nonlinear quantum mechanics: the measurement process alters itself.
Photographing hummingbird wings with an ordinary camera gives a blurry smudge. For a sharp picture, you take many rapid shots from different angles and piece them together—that's how a quantum 'snapshot' is made. In the lab, scientists 'feel' the vibrations of a tiny mirror with a laser beam. By tracking changes in the light, they reconstruct the quantum state of this motion.
But gravity might behave differently. The Schrödinger–Newton theory suggests it remains a classical field. Then the mirror's own gravity makes it jiggle in sync with the measurement—like a camera shaking in unison with the subject. The resulting 'photograph' violates a fundamental ban—the Heisenberg uncertainty limit—like an impossibly ultra-sharp frame. Such anomalies would be a signal: if they appear, gravity is classical. It's a way to test the nature of gravity in the lab; if it turns out to be quantum, gravitational waves would appear as a stream of particles.
🎯 According to the Schrödinger-Newton theory, every object gravitationally attracts itself, and this tiny force can distort a quantum experiment.