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The work aims to propose a theoretical framework for emergent gravity using superfluid vacuum dynamics, reproducing aspects of Newtonian gravity.

February 13, 2026Open Access

The JERROW Sea: Emergent Gravity via Superfluid Vacuum Dynamics

Key Points

The work aims to propose a theoretical framework for emergent gravity using superfluid vacuum dynamics, reproducing aspects of Newtonian gravity.
Developed the JERROW Sea model treating spacetime as a superfluid vacuum medium.
Formulated a depletion equation to describe density perturbations leading to emergent gravity.
Utilized the relativistic Gross-Pitaevskii equation for a quantum mechanical basis of depletion dynamics.
Derived a characteristic acceleration related to vacuum microphysics and quantum corrections.
Proposed MOND-like scaling in the deep-vacuum limit, suggesting a connection between acceleration and density.
Demonstrated aspects of curved spacetime geometry using an emergent spacetime metric.
Identified critical unresolved challenges regarding general relativity recovery and parameter plausibility.

Abstract

Abstract "We propose the JERROW Sea as a speculative toy model in which spacetime is treated as a superfluid vacuum medium whose density perturbations generate emergent gravitational phenomena. The framework aims to reproduce Newtonian gravity in the high-acceleration regime via a depletion equation ∇²ρⱼ = +αρb (corrected sign), and predicts MOND-like scaling a ∼√ (a₀aN) in the deep-vacuum limit with characteristic acceleration a₀ = ℏcₛ³/ (G mⱼ) derived from vacuum microphysics with quantum corrections. We demonstrate that the relativistic Gross-Pitaevskii equation for a logarithmic superfluid provides a quantum mechanical foundation for the depletion dynamics. An emergent spacetime metric in Painlevé-Gullstrand form reproduces aspects of curved spacetime geometry. Crucially, we emphasize that this work presents a non-relativistic toy model with significant unresolved challenges: no demonstration of full general relativity recovery (lensing, cosmology, gravitational waves), unaddressed Lorentz violation constraints requiring healing length ξ ≲10^-20ℓP, and physically implausible parameter values in the naive formulation. The framework should be viewed as a conceptual exploration of hydrodynamic gravity analogs—not as an established theory. " Keywords: emergent gravity (speculative), superfluid vacuum analogs, MOND phenomenology, quantum gravity toy models

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