The Symmetry of Spacetime Memory: Why the Universe Cannot Have a Center

The principle of relativity dictates that no inertial frame is preferred. Historically, the hypothetical "Aether" was proposed as an absolute frame, but it was experimentally ruled out. In this paper, we provide a deeper thermodynamic and computational reason for the impossibility of a cosmic center. Using the Adaptive Memory-Driven Coupling Framework (AMDCF), we demonstrate that if the universe had a preferred frame, the translational symmetry of spacetime memory would be broken. By Noether's theorem, this would imply that energy is not conserved, causing the universe to leak or decay. We prove that the non-Markovian Memory Tensor (M_μν) must be perfectly covariant under Lorentz transformations to preserve both energy conservation and the physical laws. The absence of a center is not just a choice; it is a strict prerequisite for the universe's existence.