Gravitational Wave Measurements: AMC Field Modulations

The detection of gravitational waves by LIGO in 2015 marked a watershed moment in astrophysics, providing empirical confirmation of a phenomenon predicted by Einstein's general relativity a century earlier. While conventional interpretations view these signals as ripples in spacetime geometry, our auxiliary modulation coordinate framework offers a fundamentally different perspective that maintains consistency with observational data while approaching the phenomenon through energy dynamics rather than geometric distortion. This paper demonstrates how gravitational waves can be reinterpreted as harmonic interference patterns propagating through the auxiliary modulation coordinate field-a deeper dimensional structure underlying observable reality. Using entropy-resolved resonance profile principles, we calculate waveforms directly from energy flow dynamics, achieving both greater computational efficiency and deeper physical insight. We provide detailed case studies of GW150914 (binary black hole merger) and GW170817 (binary neutron star merger), demonstrating precise quantitative agreement with observations while offering a unified mathematical treatment of both gravitational and electromagnetic emissions. Our framework reveals that gravitational waves represent information-optimized energy patterns that naturally resist degradation, explaining their remarkable coherence over cosmic distances. This approach not only maintains concordance with general relativity but extends it through the lens of energy flow rather than mass-driven geometry, potentially bridging the gap between quantum mechanics and gravitational physics.