Empirical Predictions of The Phantom Metric: Falsifying Dark Matter via High-Redshift Kinematics and Macroscopic Lensing
Year: 2026
Type: preprint
Abstract: 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 $a_0 = \frac{cH_0}{2\pi}$, 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 $V_{calculated} = \sqrt{V_{baryonic}^2 \nu}$ with a universally locked stellar mass-to-light ratio ($\Upsilon_* \approx 0.46$). 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 ($R_E$) strictly dictated by the Macroscopic Saturation Boundary, precisely defined as $R_E = R_{BB} = \sqrt{\frac{GM_{baryon}}{a_0}}$ using only the observable ~13% baryonic mass fraction. For a specific benchmark cluster mass of $M_{bary} = 0.98 \times 10^{11} M_\odot$, the metric definitively predicts a lensing radius of ~11.00 kpc, demonstrating a 1:1 structural parity ($R^2 > 0.95$) 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 ($R^2 > 0.99$) 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 $\Lambda$CDM dark matter paradigm. The Phantom Metric & Topological Spacetime - Complete Cosmological Framework: This manuscript is part of a comprehensive 8-part theoretical framework resolving dark matter, dark energy, and relativistic mechanics through macroscopic topological boundaries. The complete series includes: “The Phantom Metric: Resolving Dark Matter Anomalies in Galactic Kinematics, Strong Lensing, and Galaxy Clusters via Topological Constraints and Topological Metric Deformation (Parameter-Free)” DOI: 10.5281/zenodo.22859521 “The Duality of Topological Saturation: Phase Transitions, Manifold Expansion, and the Phantom Metric” DOI: 10.5281/zenodo.22750704 “Empirical Predictions of The Phantom Metric: Falsifying Dark Matter via High-Redshift Kinematics and Macroscopic Lensing” DOI: 10.5281/zenodo.22890604 “The Phantom Metric: Transient Non-Linear Damping and Phase Transition as a Complete Alternative to Cold Dark Matter” DOI: 10.5281/zenodo.23131615 “Topological Spacetime Cosmology: Resolving the Vacuum Catastrophe, the Hubble Tension, the Dark Energy Enigma, and Deriving the Absolute Baryonic Mass of the Universe via Entropic Metric Dilation” DOI: 10.5281/zenodo.22995959 “The Genesis of Relativistic Mechanics: Time, the Speed of Light, and Gravity as Emergent Properties of Baryonic Impedance on the Planck Frequency” DOI: 10.5281/zenodo.23041408 “Empirical Predictions of Topological Spacetime Cosmology: Void Expansion Dynamics and Metric Anisotropy” DOI: 10.5281/zenodo.22997116 “The Mechanical Framework of Active Topological Spacetime: Resolving the CMB, Angular Momentum, and Time Dilation via Kinematic Impedance” DOI: 10.5281/zenodo.23211049
Author: Haimovich, Tomer
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7202353863
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