The Autaxys Framework—from the Greek auto (self) and taxis (arrangement)—posits that reality is not a pre-existing stage but a computational process that perpetually generates itself. This process is driven by the resolution of a fundamental, inescapable paradox known as the Autaxic Trilemma: the irreducible tension between three imperatives that are locally competitive but globally synergistic: Novelty (the drive to create), Efficiency (the drive to optimize), and Persistence (the drive to endure). These imperatives are in a constant, dynamic negotiation that defines the state of the cosmos at every instant. A universe of perfect order (maximum P and E) is sterile (zero N); a universe of pure chaos (maximum N) is fleeting (zero P). The cosmos is a vast computation seeking to navigate this trilemma, where any local gain for one imperative often comes at a cost to the others, yet global coherence and complexity require the contribution of all three. The laws of physics are not immutable edicts but the most stable, emergent solutions forged in this negotiation. The search for a Theory of Everything is therefore the quest to reverse-engineer this cosmic algorithm: to identify the objective function that arbitrates the Trilemma, the primitive operators it employs, and the fundamental data types they act upon.