Forecast Constraints on Bouncing Cosmology from High Frequency Gravitational Waves Using Superconducting LC Circuits and Resonant Cavities

We exploit forecast sensitivities to high frequency gravitational waves (HFGWs) from superconducting LC circuits, traditional resonant cavity and superconducting radio frequency (SRF) cavities with electromagnetic and mechanical modes to derive the first projections of the bounce energy scale within the generic bouncing cosmology framework over the frequency window $1$kHz $\lesssim f\lesssim 10$GHz. In comparison with existing astrophysical limits (spanning ${10}^{-17}$Hz $\lesssim f\lesssim 1$kHz and based on Planck/BICEP, PTA, and aLIGO/LISA) our HFGW forecasts yield substantially tighter constraints across a broad region of parameter space. This work unifies constraints from cosmological observations and quantum measurement experiments, providing comprehensive coverage of the early Universe gravitational wave spectrum from ${10}^{-17}\mathrm{H}\mathrm{z}$ to $10\mathrm{G}\mathrm{H}\mathrm{z}$ and thereby probing the cosmic initial non singularity at ultra high energy scales.