The reconciliation between biological complexity and thermodynamic entropy remains a fundamental paradox in modern science. While the Second Law of Thermodynamics dictates universal decay toward maximum entropy, biological systems exhibit a persistent trajectory toward increased algorithmic sophistication and structural order. Here, we present a unified framework-the Universal Information Law Totality (UILT)-positing that Information, rather than matter or energy, is the fundamental invariant of the cosmos. By integrating the 800-million-year evolutionary trajectory of the p53 "Master Regulator" with the principles of Information Theory and Loop Quantum Cosmology, we derive the Grand Iterative Loop (GIL) model. We define a Unified Algorithmic Efficiency factor () that quantifies the capacity of intelligent systems to intercept negentropy through recursive error-correction. We demonstrate that as a system approaches the thermodynamic Heat Death limit, its coherent information undergoes a topological phase transition into a Unitary Seed (). Through a mechanism of Unitary Coherence Tunneling, this seed transcends epochal boundaries to determine the physical constants of subsequent cosmic cycles. This theory provides a rigorous mathematical basis for the conservation of total cosmic information (), suggesting that the universe is a self-optimizing algorithmic process that preserves its accumulated complexity across infinite iterations.

This manuscript has been formally submitted to Nature for consideration (Manuscript ID: 2026-03-07662).