Black Hole Whisper-Changes the Quantum Rhythm ⚡ экспресс
This work extends the hypothesis of replacing classical geodesics in general relativity with a ψ amplitude of density |ψ|². It demonstrates that the governing equations for both amplitude and velocity field arise from an eikonal approximation of either Stueckelberg proper time quantum mechanics or the Klein–Gordon current. The velocity field’s divergence reproduces the Raychaudhuri equations for relativistic fluids. The approach reveals an Aharonov–Bohm-like effect: the ψ phase picks up a topological shift when moving near a black hole, pointing to a deep connection between gravity and quantum coherence.
Spacetime flows like a river, and a black hole is a whirlpool. Particles in this flow are like waves with their own rhythm: alternating crests and troughs. It turns out the whirlpool shifts the wave's rhythm from a distance, without even sucking it in.
Near a black hole, a quantum wave undergoes the same subtle shift, even though the particle doesn't cross the hole's edge. The role of the invisible field here is played by curved spacetime. Unexpectedly, the calculations yield the Raychaudhuri equation — it describes the expansion or contraction of matter in Einstein's theory.
Thus gravity gains a quantum voice.
🎯 The Aharonov-Bohm effect, once dismissed as fantasy, now underlies detectors that can find metal buried in the ground without a single touch.
🎬 In the film 'Interstellar,' the black hole's gravity warps time; the new effect adds a layer: it also whisper-changes the quantum rhythm, as if sending particles a secret message.