Age of the Universe in a Geometry-Driven Cosmological Framework

This work presents a theoretical cosmological framework in which the expansion of the Universe is interpreted as a geometric response of spacetime rather than the effect of an additional energy component. The age of the Universe is computed through direct integration of the expansion history, yielding a value consistent with observations (~13.5 Gyr). The model introduces an effective geometric parameter that governs late-time expansion dynamics. Although the background expansion is nearly degenerate with standard cosmology, the framework predicts potential deviations in higher-order observables such as structure growth and gravitational lensing.