Hydrodynamic Paradigm of the Vacuum: Replacing Spacetime Geometry with Fluid Dynamics — Unified Theory of Time, Gravity, and Black Holes from Fractal-Wave Algebra
Year: 2026
Type: article
Abstract: ABSTRACT: We propose a fundamental shift in gravitational physics: abandoning spacetime geometry g_μν as a physical entity and replacing it with hydrodynamics of a superfluid vacuum ocean. Vacuum is not emptiness. It is a physical medium with density ρ(s), pressure P(s), vorticity Ω, circulation and tension film σ. Gravity is not curvature. It is pressure gradient F=-∇P. Time is not substance. It is ordered sequence of field states Ψ1→Ψ2→Ψ3. Clock rate is not time dilation. It is slowing of material processes in dense layer of ocean. Black holes are not singularities. They are hydrodynamic vortex centrifuges with finite toroidal core. Planck scales are not beginnings. They are pycnocline — phase transition in stratified ocean.1. FIELD ONTOLOGYStandard ontology: matter + emptiness + geometry. Field ontology: ocean only. What we call matter is vortex, soliton, standing wave in ocean. What we call laws are fluid dynamics laws. Equation: vacuum has properties. Emptiness cannot bend. Mathematics does not stretch. Only medium with σ can support tension. Therefore GR misidentifies carrier.Hydrodynamic equilibrium: dP/ds = ρΩ²s. Centrifugal force balances pressure gradient. At axis s→0, force →0, not →∞. Integration gives finite P_max = ρΩ²a²/2. No singularity. This is core difference from Newtonian and Einsteinian divergence 1/r.2. TIME AS ORDER, TWO-CLOCKS TESTWe introduce two standards:f_A(r) = f_A0(1+Φ/c²), α=1: material clock. Atomic transitions, electron orbitals. Depends on local vacuum density and velocity v relative to ocean: f_A = f0√(1-v²/c_s²). Slows in dense layer.f_B(r) = f_B0(1+βΦ/c²), β=0: field clock. Fundamental oscillation of ocean itself, f_B = c_s/λ0 = const. Independent of ρ. It is tick of sequence N_B = ∫f_B dλ.Observable ratio R = f_A/f_B, ΔR/R = (α-β)Φ/c².GR assumes α=β → R=const, both clocks stretch equally — illusion of time dilation.FWA predicts α=1, β=0 → ΔR/R = Φ/c² = 1.09×10⁻¹³ for Δh=1 km. Sr clocks with 10⁻¹⁸ instability detect it at 10⁵σ. Testable today. Method: f_A on ground, f_B in shielded satellite at L1 or Casimir cavity reducing ρ. GR predicts null, FWA predicts shift. Time does not stretch. Matter slows. Field remains.Definition: Time is not parameter t. Time is relation T = dN_A/dN_B = f_A/f_B. Duration emerges from counting. No process — no time. Observer, information projection, symmetry of field — all above matter. Wave function Ψ_n is its phase. Formula w=f: angular frequency = clock frequency.3. GRAVITY AS FLOWFar field s>>a: pressure profile P(s) ~ -GMρ/s reproduces Newton. Gravitational potential Φ = -GM/s is not geometry, it is P/ρ.Mechanism: vortex creates density minimum at core due to centrifuge expelling heavy component. Inflow v_r toward minimum. Matter is dragged by flow: F = -V∇P. Equivalence principle follows from same ρ.4. BLACK HOLE: VORTEX CENTRIFUGE, NO SINGULARITYGR: R_μν - 1/2Rg_μν = 8πGT_μν → ∞ at s→0. Laws break.FWA: Structure• Toroidal superfluid core a: finite density ρ_core, rotation stabilizes, no collapse mechanism. Heavy nucleus remains.• Far field: Newtonian attraction.• Event horizon: boundary where |v_r| = c_s, supersonic flow condition. Information cannot escape, like acoustic black hole. No curvature singularity.• Inside: matter stratified by density, f_A→0 frozen for external observer, but f_B≠0 field continues. Laws do not break, become fluid dynamics. Jet along axis F_z=-dP/dz ejects light component — astrophysical jets.5. PLANCK WALL IS PYCNOClinel_P, t_P, E_P are not beginnings of universe. They are characteristics of pycnocline — boiling layer where f_B → f_A, phase transition between dilute and dense vacuum, like thermocline in ocean. No wall. Only stratification. Vacuum attracts, light propagates in it, mechanics slows.6. WHAT BREAKS IN GRSingularities: artifacts of assuming ρ=0.Frozen time: introducing x⁰ as real dimension without process leads to block universe.Emptiness cannot bend.Equivalence of f_A and f_B masks true physics. GR compares f_A(r1) vs f_A(r2) and calls it time. True test needs f_B.7. EXPERIMENTAL PROGRAM1) Ground-orbital R test: 1 km two optical lattice clocks.2) Free-fall pycnocline: cavity in superfluid He-4, ΔR/R ~ Δρ/ρ, violates equivalence principle in GR.3) Centrifuge analog: fluid centrifuge with two oscillators wall vs axis directly shows gravitational redshift without relativity.CONCLUSIONWe replace geometry with fluid dynamics. Field is above matter. Matter is in field. Time is above matter. When fictitious fabric is removed and ocean returned — paradoxes disappear. Vacuum attracts, light propagates, mechanics slows, time is projection of field symmetry.Keywords: superfluid vacuum, hydrodynamic gravity, FWA, two-clocks α=1 β=0, vortex centrifuge black hole, no singularity, time as order, pycnocline.
Author: Kolesnikov Igor (Mark)
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225384847