De Broglie–Kerr Ergosphere Resonance in Rotating Coherent Systems

Kerr solution for de Broglie wave yields imaginary-valued spatial horizon—a theoretical signature of quantum-gravitational coupling at laboratory scale . We explore a Kerr ergosphere analogue in rotating, resonant coherent systems—DNA-origami hydrogels, graphene toroids, or beyond. Resonance occurs when λ = h/M v = re = 2GM/c2 , linking de Broglie wave to ergosphere radius. When Kerr spin a ≫ Mgeo, the outer horizon turns imaginary-valued—proof of quantum-gravity coupling at lab scale. Detection: entangled photons, optical, acoustic, phase scattering. _________________________________________________________________________________ This is version 2. Mathematical corrections and updates were made with the help of Claude Opus 4.7. Full repository links available on A9 Zenodo page: The Quantum Vacuum Granule: Three Complementary Mass Scales from the 1--5 Hz Universal Hum https://doi.org/10.5281/zenodo.18888582