The Role of Energy Cascade on the Uncertainty Principle: One Step Closer to Meet the Shy Graviton

In this research, we have made efforts to construct a model that formulates an equation for the motion of particles in quantum field theory (QFT). With this objective in mind, the Heisenberg uncertainty principle was examined for its relevance to the consolidation of all the presented fields. The result suggests a novel principle when the accumulated energy of all fields shows a decline as the frequency increases (energy cascade phenomena).~Following this, we pinpoint that the canonical Heisenberg (Robertson) inequality, under the interaction of two electrons in the context of quantum electrodynamics (QED), leads to the enhanced Robertson-Schr\"{o}dinger inequality that highlights the novel uncertainty principle with the cascade operator as the cornerstone of the quantum system. We posit that this may serve as a candidate for the graviton fields.