The flagship result
One field theory for the galaxies and the CMB
Five steps, each with the real numbers on it. Everything here is reproduced by committed, runnable scripts in the repository — and everything this site once claimed beyond it is retracted and archived under Retracted work.
1. Start from the data: one acceleration, everywhere
In every disc galaxy measured, the gravity that is observed departs from the gravity the visible matter provides at the same acceleration, a₀ ≈ 10⁻¹⁰ m s⁻². Below: no simulation, no synthetic points — the actual SPARC measurements, one dot per measured radius, against the framework’s two curves at a fixed, global mass-to-light ratio.
2. The coincidence that becomes the claim
That scale is numerically tied to the cosmological constant: a₀ = κc√(Gρ_Λ) with κ = ½ makes every π and every numerical factor cancel. The tie itself has prior art three times over (Milgrom 1999 derived the exact law with coefficient 2cH_Λ; Pikhitsa 2010 and Klinkhamer–Kopp 2011 landed on the same 2cH_Λ) — what this programme adds is the re-normalised coefficient that the data actually select, and everything below.
3. Give it a relativistic home
A number is not a theory. The scale is embedded in Aether–Scalar–Tensor theory — the one relativistic MOND-class theory that fits the CMB — with a single structural promotion.
4. The engine: dark energy, dark matter, and the off-switch are one function
The promotion makes a₀² proportional to the dark sector’s pressure. One bounded function then does three jobs at once — and because the excitation grows into the past, the theory itself decides when MOND is on.
5. The derived a₀(z) — and what would kill it
The redshift dependence is no longer imposed; it follows from the action. It is flat to <1% everywhere rotation data exist, and off at recombination — so the CMB’s clustering is a prediction, and the observed absence of Tully–Fisher zero-point evolution at 1 < z < 5 is a pass. Falsifier, either sign: a robust 0.15 dex zero-point shift in gas-dominated systems at z ≤ 1.
6. What is verified — and what is not claimed
| Lensing (the test that killed modified inertia) | Φ = Ψ ⇒ γ_PPN = 1; the 21.2σ exclusion clears at 0.6σ |
| CMB | full Boltzmann (CLASS) pass; re-run with the derived a₀(z): 0.01σ vs cosmic variance |
| Gravitational waves | c_T = 1 exactly, by construction (GW170817-safe) |
| Stability | no-ghost theorem over the whole field range; subluminal sound speed |
| Radial acceleration relation | 0.108 dex on 175 SPARC galaxies at Υ = 0.70 — the panel above |
| Weak lensing, 40 kpc – 2.2 Mpc | pure framework, no dark component: χ²/dof = 2.03 canonical / 0.94 alt (real KiDS data) |
| Solar system | Newtonian residual e^(−√y) ≈ 10⁻³⁴⁵⁷ at Earth |
| Wide binaries (the live test) | hash-frozen pre-registration for Gaia DR4: γ_v = 1.1614–1.1814 / 1.1917–1.2267, decided ~Dec 2026 |
- κ = ½ is NOT derived. It is fitted; the distance-free measurement is 0.551 ± 0.043, and four candidate coefficients sit inside 2σ.
- β = 1 is selected by the CMB off-switch, not derived.
- Dark matter exists at full Ω_dm here. The claim is "no dark-matter PARTICLE" — the dark sector is a field. Whether galaxies keep their captured charge is the programme’s named open problem, worked in the open.
- The full nonlinear Boltzmann run at this kinetic function is still owed (its stakes are priced at ≤0.5%, but priced is not performed).
- The scaffold — AeST itself — is Skordis & Złośnik’s (PRL 127, 161302), credited throughout. This programme contributes the a₀ normalisation, the pressure promotion, the derived a₀(z), and the Q₀ pin.
Papers: THE COMPLETION (v9) · Pinning AeST’s Q₀ (v4) · The DR4 target under a local a₀ · plain-language companion