Gravity as Pressure Gradient: A Superfluid Vacuum Mechanics
Author: Robert W. Harrison
Affiliation: Independent Researcher, Sydney, Australia
Status: Research Preprint (Not Peer Reviewed)
Published: February 2026
DOI: 10.5281/zenodo.18652098
Abstract
This paper presents a hydrodynamic interpretation of gravity as a pressure gradient within a non-viscous energy field. Rather than treating gravitation as a fundamental force acting across empty space, the model interprets gravitational behaviour as the result of pressure differentials and collective dynamics within a continuous medium.
Using Lighthill’s acoustic analogy and a quadrupole radiation framework, the paper demonstrates that the resulting energy-loss expressions reproduce the leading-order dependencies of established gravitational models. The approach does not claim independent predictive coefficients, but instead establishes a mapping between classical gravitational constants and effective medium properties.
This framework provides a conceptual bridge between gravitation, fluid dynamics, and field theory, while explicitly identifying open problems and areas for further development.
Plain-English Overview
This paper is a technical companion to “Gravity as Acoustic Radiation Pressure”. It presents the same underlying idea using a different (often more familiar) language:
- Static gravity is described as a pressure gradient in an effective vacuum medium.
- Gravitational radiation is described as propagating compressional disturbances (wave-like disturbances) in that same medium.
The goal is not to claim experimental confirmation. The goal is to show a transparent mapping between a hydrodynamic/acoustic description and standard gravitational observables, under clearly stated assumptions.
What This Paper Contributes
- Uses Lighthill’s acoustic analogy and a standard quadrupole framework to derive an energy-loss expression for binaries.
- Shows the result has the same leading-order mass, separation, and frequency dependence as the classic Peters–Mathews result.
- Makes clear that the overall numerical coefficient is obtained by a mapping between Newton’s constant and an effective background density scale — this fixes a correspondence constant rather than producing an independent prediction.
- Highlights a potential discriminator vs GR: the angular distribution and polarisation content of the radiated field in a medium description.
Open Problems (Stated Explicitly)
- How (or whether) a pure spin-2 mode would emerge from the medium’s collective excitations.
- How phase-locking is maintained for long-lived sources (if required by the interpretation).
Links
- PDF (hosted): https://spiralperiodictable.com/wp-content/uploads/2026/02/Gravity_as_Pressure_Gradient.pdf
- Zenodo DOI: https://doi.org/10.5281/zenodo.18652098
Suggested Citation
Harrison, R. W. (2026). Gravity as Pressure Gradient: A Superfluid Vacuum Mechanics. Zenodo. https://doi.org/10.5281/zenodo.18652098
Related Papers
- Gravity as Acoustic Radiation Pressure
Presents the complementary wave-based interpretation of gravitational interaction. - Hydrodynamic Quantum Gravity – Theoretical Foundations
Establishes the broader framework within which this model is situated. - HQG: Seven Convergent Frameworks
Outlines the independent lines of reasoning that converge on this interpretation.
Keywords
Keywords: gravity, pressure gradient, superfluid vacuum, analogue gravity, acoustic analogy, Lighthill, quadrupole radiation, Peters–Mathews, gravitational waves, emergent Lorentz invariance