A Hydrodynamic Approach to the Heliopause Discontinuity: Considering Vacuum Hysteresis in Light of Voyager 2 Data

Recent in-situ measurements by Voyager 2’s LECP and MAG instruments have revealed a significant pressure discrepancy at the Heliopause (HP), where the observed total pressure (Pₜₒₜ ≈ 2.67 × 10⁻¹³ Pa) exceeds classical thermal and magnetic estimates. This paper introduces a novel mathematical framework, the Hydrodynamic Formalism (TES), which treats the vacuum as a rheological medium characterized by structural hysteresis (Memory). By deriving a critical acceleration threshold a₀ from the Cosmological Constant (Λ) and applying a memory coefficient ($k=0.75$) based on the Equipartition Theorem in a 4D manifold, we provide a theoretical derivation for the missing pressure component. Our model’s prediction (2.58 × 10⁻¹³ Pa) demonstrates a high degree of convergence with Voyager 2 data, showing a deviation of only 4%. The TES formalism offers an alternative explanation for the abrupt plasma density transition and magnetic field coherence observed at the HP. Furthermore, we propose the existence of a "Pressure Floor" in the very local interstellar medium (VLISM) as a testable observable for future interstellar data analysis.