Parametric Resonance in a Non-Radiative Electromagnetic Near-Field: A Path to Local Time-Varying Gravitational Potential

This paper proposes a method to enhance the energy density of a non-radiative electromagnetic near-field using parametric resonance, and explores its potential for generating a local time-varying gravitational potential. By periodically modulating the boundary conditions of the near-field at twice the natural resonant frequency, the electromagnetic energy density at the waist region can be significantly amplified (conservatively estimated at ~10×) without increasing the average input power. Based on the weak-field approximation of general relativity, this periodic energy density variation can produce a local relative change in gravitational acceleration on the order of Δg/g∼3×10−8Δg/g∼3×10−8, which lies within the detectable range of modern atom interferometers and superconducting gravimeters. This work provides a tabletop, reproducible experimental pathway for coupling electromagnetic fields to local spacetime curvature, complementing the rotating near-field mode studied previously.