We present four falsifiable predictions of The Phantom Metric, a parameter-free saturated metric framework. The model derives galactic rotation curves and gravitational lensing solely from baryonic mass and a fundamental acceleration scale a₀ = cH₀/2π, rendering particulate dark matter mathematically redundant. Prediction I: JWST observations of dynamically settled disk galaxies at $z > 3$ will exhibit strict rotational flattening, deterministically obeying Vcalculated = √Vbaryonic² ν with a universally locked stellar mass-to-light ratio (Υ_* ≈ 0.46). This proves that the geometric topological confinement effect is invariant to the galaxy's evolutionary epoch, requiring no retroactive dark halo assembly. Prediction II: Euclid observations of morphologically relaxed galaxy clusters will yield Einstein ring radii (RE) strictly dictated by the Macroscopic Saturation Boundary, precisely defined as RE = RBB = √GMbaryona₀ using only the observable ~13% baryonic mass fraction. For a specific benchmark cluster mass of Mbary = 0.98 × 10¹¹ M_, the metric definitively predicts a lensing radius of ~11.00 kpc, demonstrating a 1:1 structural parity (R² > 0.95) with zero free parameters. Prediction III: Next-generation surveys (e.g., Euclid, Roman) discovering uncharted isolated strong gravitational lenses will demonstrate an extreme >99% structural parity (R² > 0.99) between the observed Einstein ring and the baryonic Macroscopic Saturation Boundary, perfectly matching the local SLACS observations with zero dark matter. Prediction IV: High-resolution observations by the Roman Space Telescope of asymmetric or unrelaxed lenses will reveal structurally fragmented Einstein rings. The exact locations of these optical breaks and arcs will correlate deterministically with localized topological deviations in the baryonic mass distribution, eliminating the need for invisible dark matter subhalos. Confirmation of these numerical thresholds would constitute a definitive falsification of the standard ΛCDM dark matter paradigm.
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Tomer Haimovich (2026) studied this question.
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