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March 24, 20260 citationsOpen Access

The Hydrodynamic Unification of Fundamental Interactions: A Superfluid Vacuum Approach

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SAShrihaan Acharya

Key Points

  • The aim is to unify General Relativity and Quantum Field Theory through a hydrodynamic model of the vacuum.
  • Proposes a vacuum modeled as a Bose-Einstein condensate superfluid.
  • Introduces stable topological defects as fundamental particles.
  • Integrates the Acoustic Metric with the Gross-Pitaevskii equation.
  • Generates predictions for particle mass ratios and neutron lifetime.
  • Recovers Einstein Field Equations and Coulomb’s Law from fluid mechanics.
  • Predicts a proton-electron mass ratio of approximately 1992.
  • Estimates a neutron lifetime of around 886.4 seconds.
  • Offers a framework addressing quantum non-locality and cosmological dynamics.

Abstract

Hello All, Standard theoretical physics describes the universe via two fundamentally disjointed frameworks: General Relativity, dictating continuous geometric curvature, and Quantum Field Theory, dictating discrete probabilistic excitations. This schism results in infinite point singularities, the Vacuum Catastrophe, and the ad hoc insertion of fundamental constants. This paper proposes a deterministic third path: Hydrodynamic Realism. We postulate the physical vacuum is a non-barotropic, zero-viscosity Bose-Einstein Condensate (BEC) Superfluid with a macroscopic density of ρ ≈ 10−26 kg/m3. Within this tenuous substrate, fundamental particles emerge not as point masses but as Stable Topological Defects (Gemions)—quantized vortex rings and complex knots. Mass is hydrodynamically identified as inertial drag, while Charge and Gravity represent Vector Flux and Scalar Siphonage flows, respectively. By integrating the Acoustic Metric with the Gross-Pitaevskii equation, we analytically recover both the Einstein Field Equations and Coulomb’s Law. Numerical constraints inherent to this fluid topology generate a predicted proton-electron mass ratio of µ ≈ 1992 (correlating to the observed ≈ 1836 via knot porosity factors) and a neutron lifetime of τ ≈ 886.4 s via scaling of topological shear stress (N2). The resulting Vortex-Bubble Superfluid Theory (VBST) provides a falsifiable framework resolving quantum non-locality, wave-particle duality, and cosmological dynamics purely through deterministic fluid mechanics. Therefore to share my ideas with the world I have written the document for your better understanding.

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Cite This Study

Shrihaan Acharya (2026) studied this question.

synapsesocial.com/papers/69c229a5aeb5a845df0d4712https://doi.org/10.5281/zenodo.19162518
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