A ten-paper theoretical physics framework deriving particles, forces, gravity, thermodynamics, and cosmology from a single postulate.
The physical vacuum is a compressible inviscid superfluid near saturation density.
All particles are stable topological defects (toroidal vortex rings). All forces are emergent pressure-gradient modes. Gravity is the acoustic Bjerknes force. Dark matter and dark energy are artefacts — eliminated, not explained.
| Paper | Title | Status |
|---|---|---|
| I | Particle Spectrum as Topological Defects and the α-Harmonic Mass Ladder | Draft complete |
| II | The Four Forces as Hydrodynamic Pressure-Gradient Modes | Draft complete |
| III | Irreversible Time and Wake Entropy | In draft |
| IV | Gravity as Update-Capacity Gradient | - |
| V | Condensate Black Holes | - |
| VI-a | Flat Rotation Curves | - |
| VI-b | Galactic Morphology as Overtone Structure | - |
| VII-a | Quantum Mechanics | - |
| VII-b | Emergent Geometry | - |
| VIII | Cosmogony | - |
Particle spectrum (Paper I)
- α-harmonic mass ladder places 17 PDG particles within 1.6% at half-integer multiples of μ₀ = m_e/α ≈ 70 MeV
- Equilibrium vortex ring radius R* = ξ/α derived from a 3-term GPE energy minimum (not a fit)
- Proton stability from topological incommensurability; Higgs as vacuum amplitude mode
Gravity (Paper II)
- G expressed as G = α_G · ℏc · α²/(N_p² · m_e²), reproducing G_obs to 0.6%
- No graviton required; UV divergence of quantum gravity dissolves at the vortex core scale ξ
- Equivalence principle has a mechanical origin: all defects couple to gravity through acoustic cross-section
f_BH = f_p × (m_p / M_BH) # BH eigenfrequency (proton Compton anchor)
Δr = C / M_BH # radial node spacing (kpc), M_BH in M☉
C = 1.808 ± 0.012 × 10⁹ kpc·M☉ # calibration constant (five-galaxy fit)
R* = ξ / α # equilibrium vortex ring radius (derived)
G = α_G · ℏc · α² / (N_p² m_e²) # gravitational constant (structural formula)
SSV/
├── Code/
│ ├── Paper I/
│ │ └── python/ # 17 Python scripts for Paper I
│ │ ├── arnold_tongue_scan.py # Arnold tongue bifurcation analysis
│ │ ├── canonical_four_mode.py # Four-mode canonical system
│ │ ├── chiral_bridge_projection.py # Chiral bridge geometry projection
│ │ ├── chiral_kelvin_sweep.py # Kelvin wave sweep with chirality
│ │ ├── curved_torus_relaxation.py # Toroidal geometry relaxation
│ │ ├── direct_bdg_projection.py # Bogoliubov-de Gennes projection
│ │ ├── harmonic_ladder_spectrum.py # α-harmonic mass ladder calculations
│ │ ├── kelvin_augmented_bdg.py # Kelvin wave augmented BdG solver
│ │ ├── kelvin_branch_tracking.py # Kelvin wave branch tracing
│ │ ├── kelvin_self_induction.py # Self-induction of Kelvin waves
│ │ ├── muon_mode_prototype.py # Muon mode topological defect
│ │ ├── projected_two_mode_eigen.py # Two-mode eigenvalue projection
│ │ ├── restricted_bdg_matrix.py # Restricted BdG matrix formulation
│ │ ├── restricted_bdg_three_mode.py # Three-mode BdG analysis
│ │ ├── toroidal_background.py # Toroidal background ansatz
│ │ ├── toroidal_projection_integrals.py # Toroidal projection integrals
│ │ └── vortex_profile.py # Vortex ring profile calculations
│ ├── Paper II/ # (code forthcoming)│
├── Papers/
│ ├── SSV-01.lex # Paper I manuscript
│ ├── SSV-02.lex # Paper II manuscript
│ └── figures/
│ ├── electron_minimization_logse.jpg # Electron energy minimization plot
│ ├── fig1_rotation_curve.jpg # Rotation curve figure
│ ├── fig2_multi_galaxy.jpg # Multi-galaxy comparison
│ ├── fig2_six_galaxies.jpg # Six-galaxy dataset
│ ├── fig_2d_disc_model.jpg # 2D disc model visualization
│ └── fig_galaxy_morphology.jpg # Galaxy morphology / Hubble sequence
│
└── logs/
└── Paper I/ # Derivation notes for Paper I
├── muon-derivation-program.md
├── muon-helicity-bridge-derivation.md
├── muon-paper-ready-section.md
├── muon-two-mode-symbolic-reduction.md
├── toroidal-background-ansatz.md
└── toroidal-projection-integrals-notes.md
- Rotation-curve wiggles scale as M_BH⁻¹. Sweet spot: M_BH ~ 10⁷–10⁸ M☉ (Δr = 10–180 kpc). Non-detection in Centaurus A or NGC 3198 falsifies the model.
- Wiggle amplitude scales as M_BH. Predicted δv = 12.1 km/s for M31, 4.8 km/s for Cen A — testable in 2D HI residual maps.
- HI density rings at predicted antinode radii. For M31: rings at ≈ 9.8, 22.6, 35.4 kpc.
- Hubble type anti-correlates with M_BH at fixed spin.
- No dark matter particle. All WIMP, axion, and sterile-neutrino searches: null results.
- Λ = 0 once SNe Ia host-galaxy age bias is fully corrected.
- α_G derivation: close by computing the 3D proton breather oscillation amplitude from first principles (bridges Papers I–II)
- W boson mass: current SSV prediction ~9.6 GeV vs observed ~80 GeV — flagged as open, not falsification; electroweak sector mode assignment under review
- Disc soliton eigenvalues: rigorously derive exponents 8 and 7/2 in A = λ_e · α⁻⁸ · (m_p/m_e)^(7/2) as eigenvalues of the 2D logarithmic Schrödinger equation
The SSV shares mathematical structure with Volovik's Universe in a Helium Droplet and Zloshchastiev's logarithmic nonlinear quantum gravity, and sits within the analogue gravity tradition. The harmonic mass ladder, the specific topological defect assignments, and the galactic soliton model with BH-anchored resonance are novel contributions not present in that literature.
Stig Norland — Independent Researcher, Bergen, Norway
All papers in preparation for arXiv submission (physics.gen-ph), 2026.