Exponential Resonance and Contextual Energy Modulation Beyond E = mc²

This paper presents the ΔQ–K Resonance Law, a contextual reformulation of Einstein’s energy equivalence principle within the Dynamic Universe Matrix (DEM) framework.While classical physics treats energy as an absolute scalar, the ΔQ–K resonance introduces a logarithmic contextual deviation (ΔQ) and an exponential modulation factor (e^{ΔQ}), extending energy into a dynamic contextual function. Three main regimes emerge: Classical domain (|ΔQ| ≪ 1): linear approximation, 𝐸 ≈ 𝑚𝑐²(1 + ΔQ) Quantum domain (|ΔQ| ≈ 1): full exponential modulation governs particle transitions Cosmological domain (|ΔQ| ≫ 1): exponential dominance explains vacuum energy behavior and large-scale entropy flow. This exponential resonance unifies relativistic and quantum formulations under a single contextual metric, enabling a direct bridge between micro-scale quantum foam phenomena and macro-scale cosmological observations.The ΔQ parameter operates as a contextual curvature term of energy distribution, where K serves as the resonance coefficient governing exponential coupling between mass, light, and space-time elasticity. The results suggest that E = mc² is a special case of a broader contextual law — one that accounts for resonance, curvature, and contextual identity within the energetic fabric of the universe.