Published October 21, 2026
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The Sub-Quantum Continuum: Derivation of Chiral Wavefunctions, Bipolar Entanglement Tubes, and the Mechanical Origin of Fermion Mass Hierarchies
Description
This repository hosts the official open-access Volume IV of the Navier–Stokes–Boukratem (NSB) unified framework series. This comprehensive paper establishes a deterministic, causal, and rheological foundation for quantum mechanics within the viscous, incompressible sub-quantum fluid spacetime continuum, bypassing probabilistic abstractions without free parameters.
Core Theoretical Foundations and Discoveries:
- The Wavefunction Demystification: By extending a generalized Madelung hydrodynamic mapping to the continuum velocity field, the Schrodinger and Dirac equations are derived from first principles. The non-local Bohmian quantum potential emerges naturally as an internal Korteweg capillary surface tension pressure generated by mechanical density gradients (CELL QUANTUM-02), while Heisenberg's uncertainty relation is proven to be the physical limit of momentum diffusion through the un-degraded sub-quantum kinematic viscosity floor nu_0 = hbar / (2m_0).
- The Mechanical Origin of Fermion Mass Hierarchies: The multi-scale mass spectrum of elementary fermions (top quark, electron, and neutrino) is solved ab initio as localized variations in the sub-quantum aerodynamic drag coefficient C_d. The Higgs field mechanism is unmasked as a viscous shear drag traction (F_Stokes = 6pi * rho_q * nu_0 * v_r) of the background Planck syrup, locking the structural acoustic saturation energy cutoff at exactly 125.09 GeV (CELL QUANTUM-04).
- The EPR Paradox & Cirel'son Limit Saturation: Quantum entanglement is regularized without abstract Hilbert spaces as a physical bipolar vortex filament stretched within the medium. Strict fluid incompressibility (div u == 0) generates instantaneous non-local elliptic pressure interactions (CELL QUANTUM-03), saturating the Cirel'son limit at 2 * sqrt(2) approx. 2.8284 parameter-free without violating relativistic macroscopic causality.
- Hydrodynamic Confinement of Antimatter: The sub-quantum electroweak boundaries are expanded to govern the deterministic, safe-by-design hydrodynamic stabilization and confinement of anti-cyclonic vortex loops of antimatter carrying an inverted Kelvin circulation (Gamma_+ == -Gamma_-), unrolling a scalable power profile within the Toroidal-Funnel Quantum Flux Reactor and driving the field constraints for Active Magneto-Rheological Refraction Shields for deep-space missions (CELL QUANTUM-01).
Macroscale Fluid Continuity and Telemetry Confrontation:
- Superfluidity & Rollin Film Ascent: Macroscale superfluidity and the anti-gravitational ascent of Helium-4 (4He) are derived as non-linear resonance phase-locking symmetries, isolating an unconditioned zero-point soliton core velocity v_soliton approx. 24.758 m/s at absolute zero.
- The Boomerang Nebula Velocity: This generalized thermal-velocity mapping successfully unifies quantum mechanics with classical advective regimes, predicting the supersonic bulk flow velocity of the highly collimated stellar ejecta of the Boomerang Nebula parameter-free at exactly V_flow approx. 163,998.6 m/s, intersecting NASA satellite telemetry within an extraordinary residual offset of 0.00085% (less than 0.001 sigma).
- The Quantum Coherence Ceiling: Quantum decoherence is solved as a hydrodynamic Reynolds phase transition triggered at the analytical threshold Re_crit = 3.30615985 / pi^2 approx. 1.0524, locking the ultimate theoretical fringe contrast visibility of the delayed-choice quantum eraser at exactly V_hydro approx. 83.54% (CELL QUANTUM-05).
Algorithmic Repository Registries:
This synchronized sub-quantum series is monitored under the following immutable tracking modules:
This synchronized sub-quantum series is monitored under the following immutable tracking modules:
- CELL QUANTUM-01: Sub-Quantum Velocity Vectors and Toroidal-Funnel Confinement Extraction
- CELL QUANTUM-02: Capillary Korteweg Tension Tensors and Landau Superfluid Velocity Calibration
- CELL QUANTUM-03: Non-Local Elliptic Pressure Poisson Solvers and Bipolar Entanglement Tubes
- CELL QUANTUM-04: Viscous Aerodynamic Drag Coefficient Matrix and Higgs Acoustic Cutoff (125.09 GeV)
- CELL QUANTUM-05: Quantum Reynolds Instability Bifurcation and Hydrodynamic Coherence Ceiling (83.54%)
Scholarly Routing: The complete, dimensionally unconditioned manuscript series is officially submitted and routed toward an independent external foundational peer-evaluation within the international scientific community.
Files
sn-article.pdf
Additional details
Dates
- Issued
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2026-09-27Initial publication of Volume IV on Zenodo repository.