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A Rheological Approach to the Viscous Fermionic Vacuum Condensate (A complete collection of physical and mathematical works on OCEAN theory)
This paper presents the complete physical and mathematical compendium of the OCEAN theory, formalizing the physical vacuum as a viscous fermionic condensate (VFC) with a viscosity η ≈ 1.2 × 10^-15 Pa•s and a phase transition threshold E_thr = 7.76 keV. We systemically unify all equivalents of the framework, transitioning from the microphysical origin of inertial mass (m = η • τ s) and viscous electrodynamics (η → 0) to macro-scale galactic rotation curves and the Mercury precession anomaly (∆Φ ≈ 42.98 ′′ /century) without dark sector fitting parameters. In extreme regimes, the VFC hydrodynamics formalizes the quadratic attenuation of gravitational waves (α ∼ f^2), deconstructs GR singularities into stable soliton cores (ρ max ≈ 3.49 × 10^17 kg•m^-3 , R core ≈ 1800 km for Sgr A*), and provides first-principles derivations of Newton's constant (G ≈ 6.6743 × 10^-11 m^3 •kg^-1 •s^-2). Finally, this rheological approach establishes a dual-conformational cosmological timeline extending the age of the Universe to 39.24 billion years, which naturally resolves the high-redshift mature galaxy anomalies observed by JWST, while independently reconstructing the cosmic microwave background temperature (2.7257 K) solely through internal vacuum invariants.
1. A. Shlyapik, A Rheological Approach to the Viscous Fermionic Vacuum Condensate, J. Exp. Theor. Phys., (accepted, in press), Manuscript ID: JETP2660290Shlyapik. (2026).
2. A. Shlyapik, Rheological Approach to the Viscous Fermionic Vacuum Condensate. II. Viscous Electrodynamics, J. Exp. Theor. Phys., (accepted, in press), Manuscript ID: JETP2660315Shlyapik. (2026).
3. A. Shlyapik, A Rheological Approach to the Viscous Fermionic Vacuum Condensate. III. Rheological Nature of Galactic Rotation Curves: Eliminating Dark Matter via ψ-Condensate Viscosity, J. Exp. Theor. Phys., (accepted, in press), Manuscript ID: JETP2660330Shlyapik.(2026).
4. A. Shlyapik, A Rheological Approach to the Viscous Fermionic Vacuum Condensate. IV. Relativistic Pericenter Precession of Mercury via ψ-Condensate Drag, J. Exp. Theor. Phys., (accepted, in press), Manuscript ID: JETP2660352Shlyapik.(2026).
5. A. Shlyapik, A Rheological Approach to the Viscous Fermionic Vacuum Condensate. V. Dissipative Dynamics of Gravitational Waves and Rheological Density Limits and Black Hole Shadows in the Viscous Condensate Model, J. Exp. Theor. Phys., (accepted, in press), Manuscript ID: JETP2660359Shlyapik.(2026).
6. A. Shlyapik, A Rheological Approach to the Viscous Fermionic Vacuum Condensate. VI. The Hydrodynamic Nature and Scale Invariants of Gravitational Interaction, sent to J. Exp. Theor. Phys.,(2026).
7. A. Shlyapik, A Rheological Approach to the Viscous Fermionic Vacuum Condensate. VII. Universal Rheological Limit of Macro-Solitons: Exact Analytical Derivation of Neutron Star Radii via VFC Invariants, J. Exp. Theor. Phys., (accepted, in press), Manuscript ID:JETP2660385Shlyapik. (2026).
8. A. Shlyapik, A Rheological Approach to the Viscous Fermionic Vacuum Condensate. VIII. Photon Dynamics, Universe Evolution, and Wakefield Mechanics, JWST Anomalies, Redshift, CMB and The Law of Conservation of Energy, sent to J. Exp. Theor. Phys.,(2026).
9. A. Shlyapik, A Rheological Approach to the Viscous Fermionic Vacuum Condensate. IX. The Kinematic Nature of Invariant τ in the Superfluid Epoch of Universe Evolution, sent to J. Exp. Theor. Phys., (2026).
