This work presents an original cosmological model proposing a unified description of the universe based on the dynamic interaction between energy, time, and information. At the core of the model, the Function of Life is introduced as a mathematical construct conceived as an operational tool capable of describing the evolution of living and non-living systems across multiple scales, from the biological domain to the cosmological one. The model explores the hypothesis that information is not an emergent epiphenomenon, but a fundamental quantity intrinsically linked to the structure of spacetime and to energy conservation processes. A formalism is proposed in which life is interpreted as a measurable physical process, and the universe as a dynamic system endowed with memory and internal coherence. The work integrates elements of standard cosmology with an original mathematical approach, subjecting the model to a series of theoretical stress tests and to conceptual and computational experiments. While maintaining an exploratory framework, the model demonstrates internal consistency and descriptive potential, suggesting possible applications in the interpretation of cosmological, biological, and informational processes. This study is intended as a preliminary contribution open to discussion, aimed at encouraging further analysis, experimental verification, and future developments.