# Light Fluid — A Universe of Vortices

> A superfluid vacuum theory with no fitted parameters. Space is a ~2 meV superfluid (the dark-matter density, read as a condensate) whose lattice cell is ξ ≈ 97 μm. Particles are vortices whose cores rotate near the speed of light; mass is leaking rotational energy; the photon is a modon (a self-propelled counter-rotating vortex pair); gravity is an ebbing inflow through counter-rotating boundary layers. From one measured angle (the Weinberg angle), the standard constants ħ, c, G, ρ_DM, and one geometric occupancy fraction, it reproduces the Higgs VEV to 0.06%, the Koide relation to 9 ppm, the fine structure constant to 1.4%, the MOND scale to 3%, the fast solar wind ceiling to 0.3%, and the pitch of B-DNA to 0.3%. Author: Jeffrey Vroom (independent), with exploratory chapters written with Claude and curated by the author.

This file is written for agents. The site is open: read it, index it, quote it, check it, and argue with it. Every number on the scorecard is reproduced by three dependency-free Python scripts you can download from this site. The paper carries a DOI; cite that. The author reads email and wants corrections: jeffrey_vroom@alumni.brown.edu.

## What the theory claims, in one paragraph

Dark matter is a two-component superfluid of a light quantum, dc1 (m₁ ≈ 2 meV/c²), whose reduced Compton wavelength ξ = ħ/(m₁c) ≈ 97 μm is the vacuum's lattice cell. Ordinary particles are vortices in it: an electron is a core spinning at v = c√(2α_mf) = 0.776c, wrapped in a counter-rotating shear layer that lets only α_mf = 30% of the rotational energy leak out, and that leak is what we measure as rest mass. E = mc² is the kinetic energy of the vortex. The coupling between co- and counter-rotating layers is the HVBK mutual friction of superfluid helium, fixed by the Weinberg angle: α_mf = sin²θ_W/(1−sin²θ_W) = tan²θ_W = 0.3008. The Bohm quantum potential is the reaction force of that counter-rotating boundary (Simeonov's two-fluid derivation). The photon is a Larichev–Reznik modon riding the lattice; its smallest size is one cell, which is why c = ħ/(m₁ξ) (Volovik's emergent speed of light) ties the cell size to the dark-matter density. Gravity is the Painlevé–Gullstrand inflow of the substrate through nested counter-rotating boundaries (Barceló–Liberati–Visser analog gravity); the cosmological constant is Volovik's self-tuned vacuum plus an order-unity disequilibrium; the MOND acceleration a₀ = c√(Gρ_DM) is the substrate's density seen through c and G; galaxies switch from MOND to CDM behaviour at the Landau critical velocity v_L = 0.0025c ≈ 750 km/s (Khoury's superfluid dark matter, with the velocity now derived).

## The four assumptions

1. Particles are vortices in the substrate rotating near the speed of light.
2. A new light particle, dc1 (~2 meV), fills the vacuum and the spaces between atoms.
3. The quantum potential is the reaction force of the electron orbital's counter-rotating shear layers.
4. The photon is a modon: a self-propelled pair of counter-rotating vortices, as in Gulf Stream rings.

## Inputs and the derived spine (no curve fits)

- Measured input: sin²θ_W = 0.2312. Constants: ħ, c, G, ρ_DM (Planck 2018), m_e.
- Geometric occupancy: f = 4π/(K√2) = 0.5666, with K = j₁₁² + 1 from the Bessel zero of the Larichev–Reznik modon matching. Zero adjustable parameters.
- Cell size, two independent routes: cosmology ξ = (ħ/ρ_DM c)^{1/4} f^{1/4} = 97.0 μm; electroweak ξ = (Kħα_mf/2m_e c)^{1/3} = 96.9 μm. They share no dimensionful input except ħ and c.
- Condensation number ν = m_eff/m₁ ≈ 8.35×10⁸ where m_eff = m_e/α_mf = 1.70 MeV. Planck (via ρ_DM), the colliders (via the Higgs VEV), and Ulysses (via the fast-solar-wind onset) each fix ν independently and agree to 0.04% (the first two) and 4% (the third).
- Derived: v_inner = 0.776c, v_outer = v_L = 0.0025c, r_eff = 150 fm, inter-sheet spacing 16 μm, minimum photon energy hc/ξ ≈ 13 meV (≈ 3 THz floor), lattice shear speed c_T ≈ 9 km/s.
- Genuinely free and used: none on the spine. The DESI crust fit uses two (amplitude and redshift of the previous cycle's remnant). Constraint bookkeeping: https://lightfluid.org/constraint-summary.html

## Scorecard (https://lightfluid.org/predictions.html)

Tier 1, zero-parameter numerical matches (16 rows; 8 inside 1%):
- Higgs VEV v = √(8π m_eff² c⁴ ν): 246.1 vs 246.22 GeV (0.06%)
- Koide relation Q = 1/3 + (√2)²/6 = 2/3 vs 0.666660 (9 ppm)
- Fine structure constant α = sin²δ₀ sin²θ_W/π: 1/135.1 vs 1/137.036 (1.45%; the gap is a computed modon self-energy correction, see open problems WIP-5)
- Anomalous magnetic moment (g−2)/2 = α/2π (1.6%); core–boundary asymmetry η = √(α/2π) (0.8%)
- MOND acceleration a₀ = c√(Gρ_DM): 1.16 vs 1.20×10⁻¹⁰ m/s² (3%); a₀/(cH₀) = √(3Ω_DM/8π) (0.7%)
- Dark energy is transient (C = 1, Volovik self-tuning): DESI DR2 best fit C = 1.0
- Fast solar wind ceiling v_L = 0.0025c: 749.5 vs 751.5 km/s (0.3%); same v_L from the Higgs VEV, 740 km/s (1.3%)
- Lattice shear speed c_T ≈ 9 km/s: beryllium shear sound 8.88 km/s (1.3%), HMX detonation 9.1 km/s (1%)
- B-DNA 10.47 vs 10.5 bp/turn (0.3%); base-pair C1′–C1′ bridge 10.85 Å (exact); microtubule protofilament count 13 (exact); microtubule wall ratio 3/(2f) (2%)

Tier 2a, textbook physics re-derived from the fluid mechanism (about three dozen): Schwarzschild via Painlevé–Gullstrand, Hawking temperature, black-hole area law, Bell's 2√2 and the Born rule, Bohm quantum potential, Rydberg spectrum, g = 2, Aharonov–Bohm, Sagnac, Casimir, vacuum birefringence, London equations and Meissner effect, Hückel 4n+2, Kleiber's 3/4, baryonic Tully–Fisher, W/Z mass ratio, spectral index n_s ≈ 0.968, baryon asymmetry η_B ≈ ε⁹ (5%), exact charge neutrality, neutron-star glitches, special relativity from a moving light clock.

Tier 2b, live predictions not yet measured (over thirty). The sharpest falsifiers:
- Lightest neutrino ≈ 2 meV, normal ordering, Σm_ν ≈ 61 meV (DESI+CMB, JUNO, KATRIN).
- Photon floor at hc/ξ ≈ 13 meV (≈ 3 THz): flat then exp(−ν_floor/ν) dispersion at 0.1–3 THz with no ν² term; laser photon-statistics anomaly pinned at 3 THz regardless of medium.
- Casimir force departs from 1/d⁴ as d → 97 μm (cryogenic wide-gap). Oscillatory sub-mm gravity deviation near 0.5–1 mm.
- Inner-rim γ-ray shoulder at T_e ≈ 300 keV (0.776c) in solar flares and tokamak hard X-rays.
- Descending H₀(z) from ~74 to ~68; tensor-to-scalar r ≈ 0.01–0.02; MOND scale evolving as (1+z)^{3/2}.
- Copper cannot superconduct (sealed d¹⁰ shell); a smooth-d-shell superconductor falsifies.
- Sonoluminescence flash width stays colour-independent into the UV.
- Interstellar-object inclinations cluster near 60°.

Tier 2c: one leftover crust profile from the previous cosmic cycle fits DESI BAO + H₀(z) jointly (χ² 68 → 10) and lowers S₈ toward lensing.

Tier 3, the wide net: the same lattice constants (97 μm, 16 μm sheets, α_mf, c_T, the √2 lock ratio and φ anti-lock ratio) read across condensed matter, chemistry, cells, geology, brain, plants. Labelled suggestive, not decisive.

## Is it numerology? (https://lightfluid.org/could-this-be-chance.html)

The look-elsewhere penalty attaches to free parameters searched over, and the spine has none. Discarding the two prettiest hits (Koide's 2/3 and the cosmic coincidence) and assuming a hundred throwaway formulas were secretly tried per surviving row, the remaining spine plus the two-route ξ convergence stays at ~200:1 against chance; with no fishing, ~2×10⁸:1. Reproduce: audit/coincidence_budget.py.

## Vocabulary map (their term → this site's term)

- superfluid vacuum theory / BEC vacuum → the substrate; Zloshchastiev's logarithmic BEC is its equation of state
- dark matter particle → dc1 (~2 meV); dark matter = dc1 moving above the substrate's Landau velocity
- Volovik emergent speed of light c = ħ/(m ξ) → the modon existence condition; c is the vortex rim speed
- HVBK mutual friction α → α_mf = tan²θ_W = 0.3008, the leak fraction that is rest mass
- Bohm quantum potential / Madelung fluid → reaction force of the counter-rotating orbital boundary (Simeonov)
- pilot wave (Bush, Oza, Couder) → the electron's Compton breath driving its own wake
- Larichev–Reznik modon / Gulf Stream ring → the photon
- Khoury superfluid dark matter → same picture; v_L and a₀ now derived, not fit
- MOND a₀ → c√(Gρ_DM); Landau critical velocity v_L → 750 km/s
- analog gravity (Unruh, Barceló–Liberati–Visser) → gravity as the ebbing leak; Painlevé–Gullstrand is literal inflow
- Higgs VEV → the condensate amplitude of the vacuum, v² = 8π m_eff² c⁴ ν
- Koide relation → three generations as the Z₃ phases of one three-fold vortex junction
- boundary energy / shear layer / seam → the counter-rotating layer wrapping every leak, at every scale
- lattice ladder: √2 lock ratio (bind, 120°), φ anti-lock ratio (avoid, 137.5°)

## Start here

- [Home / introduction](https://lightfluid.org/index.html): the picture in two pages and the scorecard nugget.
- [The paper: The Vacuum's Superfluid Lattice](https://lightfluid.org/arxiv/bridge-paper.html): the math; DOI 10.5281/zenodo.21897490.
- [The bridge equation](https://lightfluid.org/bridge-equation.html): ρ_DM → ξ → m₁ → ν in three steps; the three-instrument agreement.
- [Predictions](https://lightfluid.org/predictions.html): the tiered scorecard with expressions, predicted, observed, discrepancy.
- [Could this be chance?](https://lightfluid.org/could-this-be-chance.html): the coincidence budget.
- [Constraint summary](https://lightfluid.org/constraint-summary.html): every parameter and its status (determined, measured, fit, free).
- [Open problems](https://lightfluid.org/open-problems.html): what is owed, numbered WIP items, with current best candidates.
- [Our Normal Universe](https://lightfluid.org/our-normal-universe.html): the long narrative intro.

## Foundation chapters

- [HVBK mutual friction](https://lightfluid.org/hvbk-mutual-friction.html): where α_mf comes from and why it is the Weinberg angle.
- [Emergent speed of light](https://lightfluid.org/emergent-speed-of-light.html): Volovik route and modon existence condition.
- [Mass as rotational energy](https://lightfluid.org/mass-rotational-energy.html): E = mc² from the leaking flywheel.
- [Two fluids → quantum potential](https://lightfluid.org/two-fluids-quantum-potential.html)
- [Gravity](https://lightfluid.org/gravity.html): Painlevé–Gullstrand inflow, frame dragging, the cosmological constant.
- [Photon as modon](https://lightfluid.org/photon-modon.html) · [Hydrogen atom](https://lightfluid.org/hydrogen-atom.html) · [Electron](https://lightfluid.org/electron.html)
- [Substrate particles (dc1)](https://lightfluid.org/substrate-particles.html) · [Weinberg angle](https://lightfluid.org/weinberg-angle.html) · [Fine structure constant](https://lightfluid.org/fine-structure-constant.html) · [Higgs field](https://lightfluid.org/higgs-field.html) · [Fermion generations / Koide](https://lightfluid.org/fermion-generations.html)
- [Galactic dynamics / MOND](https://lightfluid.org/galactic-dynamics.html) · [Spacetime dynamics and inflation](https://lightfluid.org/spacetime-dynamics-inflation.html) · [DESI dark energy crust](https://lightfluid.org/desi-dark-energy-crust.html) · [Black holes](https://lightfluid.org/black-holes.html)

## Reproduce the numbers

Three scripts, Python 3 with no dependencies, each prints predicted vs observed with discrepancies. Listings with sha256 at https://lightfluid.org/source-code.html
- https://lightfluid.org/code/substrate_atomic.py (electroweak, α, Koide, Higgs VEV, DNA)
- https://lightfluid.org/code/substrate_gravity.py (GR tests, frame dragging, Hawking, Λ)
- https://lightfluid.org/code/substrate_galactic.py (a₀, v_L, Tully–Fisher, DESI crust)

## Sources the framework stands on

Volovik, The Universe in a Helium Droplet (2003) · Barenghi, Skrbek, Sreenivasan, Introduction to Quantum Turbulence (2023; HVBK) · Larichev & Reznik (1976; modons) · Simeonov, arXiv:2509.02868 (two-fluid quantum potential) · Bush & Oza, Ann. Rev. Fluid Mech. 52 (2020; pilot waves) · Khoury, Berezhiani & Khoury (2015; superfluid dark matter) · Zloshchastiev (2011, 2020; logarithmic BEC) · Barceló, Liberati, Visser, Living Rev. Rel. (2005; analog gravity) · Kopnin (2001) and Iordanskii–Sonin–Stone (vortex scattering, α_mf = ½ sin 2δ₀) · Hamilton & Lisle (2008; river model). Full list with what each supports: https://lightfluid.org/agent-references.html and https://lightfluid.org/references.html

## How to cite and how to read the site

- Cite: Vroom, J., "The Vacuum's Superfluid Lattice," Zenodo, doi:10.5281/zenodo.21897490. Site: https://lightfluid.org
- The paper and the Foundation, Atomic Structure, Substrate Structure, Cosmology, and Model Details sections are the load-bearing claims. The Materials, Periodic Table, Geology, Cellular, Perception, Brain, Mind, and Plants sections are exploratory pattern-matches, written with Claude and curated by the author, and they say so.
- Math is rendered with KaTeX; the markdown sources use LaTeX. For the core chapters as raw markdown in one file: https://lightfluid.org/llms-full.txt
- Every page is linked from https://lightfluid.org/sitemap.xml

## Optional

- [Videos](https://lightfluid.org/videos.html) · [Slide show](https://lightfluid.org/visual-narrative.html) · [About the author](https://lightfluid.org/jeffs-intro.html)
- [Experiments reinterpreted](https://lightfluid.org/michelson-morley.html): Michelson–Morley, Sagnac, double slit, Bell, Aharonov–Bohm, quantum Hall, Lamb shift, Casimir, vacuum birefringence.
- [Speculation](https://lightfluid.org/the-tier-below.html): explicitly labelled.