A zero-parameter cosmology where dark matter, dark energy, and inflation emerge as three aspects of a single superfluid — derived from one input: three spatial dimensions.
When the dominant cosmological energy is geometric — arising from the viscous self-coupling of expanding space rather than from an external field — the expansion exponent must equal the spatial dimensionality.
From p = d = 3, a single algebraic chain produces every major cosmological observable with zero free parameters.
Every prediction derived from d = 3 with zero free parameters. Every one matches observation.
| Observable | UFC Prediction | Observed | Agreement |
|---|---|---|---|
| Spectral index ns | 0.9652 | 0.9649 ± 0.0042 | 0.1σ |
| Dark energy EOS w | −7/9 = −0.778 | DESI data | χ² = 9.6 vs 25.6 |
| Matter density Ωm | 0.310 | 0.3153 ± 0.0073 | 0.7σ |
| Baryon density Ωb | 4/81 = 0.04938 | 0.0493 ± 0.0006 | 0.1σ |
| Adiabatic index γ | 2 (exact) | 2.00 ± 0.05 | exact |
| S8 tension | 0.775 | 0.770 ± 0.020 | 0.2σ (was 2.6σ) |
| MBH–σ slope | σ4.12 | σ4.38 ± 0.29 | within 6% |
| Spectral running | −0.0056 | −0.0045 ± 0.0067 | 0.16σ |
| Tensor-to-scalar r | ~3 × 10−4 | < 0.036 | consistent |
| CMB TT spectrum | χ²/dof = 1.11 | 83 Planck bins | Δχ² = 2.8 |
| Hubble tension | H0 = 72.7 | 73.0 ± 1.0 | 0.3σ |
| Rotation curves | 121/171 SPARC | soliton+iso | 71% win rate |
| BAO | χ² = 20.9 | 7 DESI bins | Δχ² = −18 |
| GR tests | 11/11 | precision data | all pass |
| Bullet Cluster | 592 kpc | 720 kpc | consistent |
The Friedmann equation is structurally identical to the Chapman-Jouguet detonation equation. The radiation era is the reaction zone. Matter-radiation equality is the CJ point. Cosmic acceleration is the post-burnout sound-wave limit. The spectral index — the tilt of the primordial power spectrum — comes from the cellular instability of this detonation, the same physics that produces diamond patterns on the walls of terrestrial detonation tubes.
What ΛCDM attributes to a cosmological constant, UFC derives as geometric bulk viscous pressure: the self-coupling of expanding space in three dimensions. The equation of state w = −7/9 is constant, has zero free parameters, and outperforms ΛCDM against DESI data by Δχ² = 16.
The universal fluid condenses via gravitational capture. The condensed fraction behaves as collisionless dark matter (Landau criterion trivially satisfied). Galaxy rotation curves emerge from the GPP solitonic core (inner halo) and thermal excitations (outer isothermal envelope). The same framework derives the MBH–σ relation from quantum mechanics and gravity alone.
Six independent criteria single out three spatial dimensions: flat rotation curves, BEC existence (Mermin-Wagner), the Tully-Fisher relation, Huygens' principle, viscous energy exceeding gravitational binding, and maximum geometric leakage. The combined figure of merit at d = 3 is 80× higher than d = 4.
UFC makes specific predictions that can kill the theory:
Constant w = −0.778 at all redshifts. No phantom crossing. DESI bin-by-bin reconstruction will show constant w, not the evolving dark energy that CPL parametrizations suggest.
Tensor-to-scalar ratio r ≈ 3 × 10−4. Below current bounds, potentially within LiteBIRD reach. Kill condition: r > 0.01 or r < 10−9.
σ × rc = 52.5 km/s·kpc for all galaxies. The soliton structural relation is universal, set by the boson mass. A sharp test from dynamics alone.
Chromatic lensing near AGN. The universal fluid is achromatic in vacuum but frequency-dependent near excited regions. Multi-wavelength lensing near active galaxies should show wavelength-dependent deflection.
Spectral running dns/d ln k = −0.00559. A precise, parameter-free prediction testable by next-generation CMB experiments.
BAO peak broadening. Nonlinear Navier-Stokes mode coupling broadens the BAO peak. Testable by DESI full-survey analysis.
The full technical details, derivations, and 190 supporting simulations.
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