This white paper presents a Unified Scientific Framework of Eternal Equilibrium, extending equilibrium theory across physical, energetic, temporal, biological, and systemic domains. Building upon foundational equilibrium concepts, the framework proposes eternal equilibrium as a universal principle governing stability, continuity, and transformation in both natural and engineered systems. The paper synthesizes interdisciplinary perspectives to establish a cohesive scientific structure capable of supporting theoretical analysis, applied technologies, and future extensions in equilibrium-based sciences.