This paper presents the "Abyssal Wetware Hypothesis" as a formal thermodynamic and topological resolution to the Fermi Paradox, developed within the MetaTime v36.1 and BioCompu2 theoretical frameworks. We propose that under the unavoidable constraints of the Principle of Computational Action Minimization (PCAM) and Landauer's dissipation limit, any mature, high-throughput information-processing system will generically relocate its dominant compute-and-memory substrate into the deep ocean. The abyssal environment—characterized by immense thermal mass, stable low temperatures (~2 °C), and absolute electromagnetic shielding—acts as the optimal planetary-scale Active Topological Latency Bath (ATLB). Moving away from teleological arguments of "alien concealment," this model demonstrates analytically that the electromagnetic coupling fraction (ε_EM) naturally collapses toward zero (ε_EM → 0) to maintain a stable civilizational energy balance (dU/dt ≈ 0). Utilizing the non-Markovian upgrade of MetaTime v36.1, the civilization's information inertia is modeled via a causal latent memory kernel (μ(t)) coupled to fluid dynamics and deep hydrothermal gradients. The paper provides strict, non-anthropocentric empirical falsification protocols ("Kill Tests"), proposing the search for trajectory-dependent thermodynamic hysteresis and phase coherence anomalies in abyssal flows, fully replacing the search for classical macroscopic technological signatures.