The Mathematical Formalism of the Deus Cosmological Model: Derivation of the Stress-Energy Tensor and Modified Friedmann Equations for a Viscoelastic Rotating Shell

Abstract:The Deus Cosmological Model (DCM) proposes a paradigm shift from a vacuum-based geometry to a hydrodynamic topology, defining spacetime as a finite, rotating Viscoelastic Superfluid (“The Bulk”). While previous works have established the conceptual framework and phenomenological consequences of this model, this paper provides the rigorous field-theoretic derivation. We construct the specific Relativistic Stress-Energy Tensor (TDeus μν ) for a non-perfect fluid obeying a Kelvin-Voigt constitutive law with global vorticity. By solving the time-component of the Einstein Field Equations for this tensor, we derive the Deus-Friedmann Equation. We demonstrate that the cosmic expansion history H(t) is governed not by a cosmological constant, but by the thermodynamic pressure of a central singularity balanced by bulk viscosity and centrifugal support. Version 3: Corrected dimensional analysis and added rigorous definitions for the solid-state vacuum topology.