Abstract

This seminar explores the intersection of quantum mechanics and general relativity through the lens of modern astrophysics. By examining the geometric quantization of spacetime curvature, the talk revisits Einstein’s field equations in the context of quantum coherence and conformal symmetry. Particular attention will be given to Bose–Einstein condensates as potential astrophysical analogues of gravitational systems, and to the dynamics of black holes and neutron stars under these frameworks. Recent theoretical advances and observational data will be discussed, from gravitational-wave interferometry to attosecond-scale light experiments, revealing the emerging continuum between the quantum and the cosmological. Ultimately, the lecture aims to illuminate how matter, energy, and curvature may converge within a unified formalism an “eternal equation” linking the smallest quanta of existence to the largest structures of the universe.