Status: Preprint (not peer reviewed)
Author: Robert W. Harrison
Plain-English Summary
General Relativity and Quantum Field Theory are the two pillars of modern physics — yet they are mathematically and ontologically incompatible. Their clash is most visible in the vacuum catastrophe: quantum theory predicts a vacuum energy density 120 orders of magnitude larger than what is observed. This paper presents a comprehensive theoretical framework — Hydrodynamic Quantum Gravity (HQG) — that attempts to resolve this tension by shifting from abstract geometry to physical hydrodynamics.
The framework begins with two axioms: (1) motion is purely relative — there is no experimentally accessible absolute frame; and (2) oscillation is nature’s method of trapping energy into stable configurations. From these, the paper derives a causal sequence: Movement → Pressure → Oscillation → Density → Mass. Empty space is treated as genuinely empty but possessing dynamical properties mathematically isomorphic to those of superfluid Helium-3A. Lorentz invariance emerges from Fermi point topology — the “speed of light” is the sound speed in the vacuum condensate. Matter is redefined as oscillons — self-sustaining, breathing wave packets maintained by nonlinear ponderomotive forces. Gravity emerges as acoustic radiation pressure between these oscillating structures: the Secondary Bjerknes Force, which naturally produces an inverse-square law from spherical wave spreading.
The paper addresses the vacuum catastrophe (resolved via Gibbs-Duhem equilibrium thermodynamics), the hierarchy problem (gravity is weak because matter is a tiny displacement in an immense energy reservoir), the Equivalence Principle (tautological — both gravitational and inertial mass measure displacement volume), and the three-generation problem (topological charge N=3 at Fermi points, reinforced by Sine-Gordon breather stability analysis). Convergent mathematical evidence is drawn from the Koide formula, the PMNS matrix, Descartes Circle Theorem, and the periodic table’s 2n² shell structure.
What This Paper Claims (High Level)
- The known laws of physics — including Lorentz invariance and gravitation — emerge as low-energy effective field theories describing the collective behaviour of empty space exhibiting superfluid-like dynamics (³He-A universality class).
- Matter is oscillons — self-sustaining, localised wave packets where nonlinear ponderomotive forces balance dispersion, creating stable resonant structures with fixed masses.
- Gravity is the Secondary Bjerknes Force — acoustic radiation pressure between oscillating structures in the vacuum, producing an inverse-square law from spherical wave geometry.
- The vacuum catastrophe is resolved via the Gibbs-Duhem relation: uniform vacuum energy is in thermodynamic equilibrium and exerts zero net gravitational pressure.
- Three generations of fermions arise from topological charge N=3 at Fermi points splitting under symmetry breaking, with convergent support from Sine-Gordon breather quantisation and icosahedral A₅ → Z₃ symmetry breaking.
- Tensor gravitational waves are compatible with the framework as perturbations of the emergent metric constructed from the ³He-A order parameter triad — inherently rank-2 symmetric by construction.
- A falsifiable prediction distinguishes the framework: gravitational wave echoes from gravastar cores (dense phase-transition surfaces) rather than event horizon absorption.
Why It Might Matter
This paper is the core theoretical document of the HQG series, providing the first-principles derivations from which the companion papers on gravity, electromagnetism, and quantum mechanics follow. If the framework holds, it offers a single physical picture — empty space with dynamical properties — from which the Standard Model emerges as the “spectroscopy of the vacuum” and General Relativity as its “acoustics.” The 19+ free parameters of the Standard Model would not be fundamental but eigenvalues of vacuum geometry. The gravastar echo prediction provides a concrete observational test using existing LIGO/Virgo data.
Links
PDF (this site):
DOI (Zenodo):
https://doi.org/10.5281/zenodo.18210462
Keywords / Topics
Hydrodynamic Quantum Gravity, superfluid vacuum theory, ³He-A universality class, Fermi point topology, emergent Lorentz invariance, oscillon, breather, ponderomotive force, Secondary Bjerknes Force, acoustic metric, vacuum catastrophe, Gibbs-Duhem relation, hierarchy problem, Equivalence Principle, three generations, Sine-Gordon breathers, topological charge, Koide formula, PMNS matrix, Descartes Circle Theorem, icosahedral symmetry, fine structure constant, gravastar, gravitational wave echoes, Stochastic Electrodynamics, zero-point field
Note: This is a technical preprint made available for discussion and critique. If you have relevant expertise and would like to comment, please reach out.