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This work proposes a novel cyclic cosmological model that integrates holographic principles with spacetime elasticity to resolve the cosmological constant problem. By connecting vacuum energy density to the universe’s holographic entropy and leveraging quantum geometry effects, this framework predicts a time-varying dark energy equation of state. This model suggests detectable variations at redshifts z∼1-2, which can be tested by next-generation surveys such as DESI and Euclid. The model preserves entropy across cycles through the invariant holographic ratio N∼10^61, linking the Planck scale to the cosmic scale. This novel approach offers a pathway to reconcile quantum gravity with observational cosmology, providing a self-consistent and testable explanation for the dynamic evolution of dark energy.