Empirical Predictions of The Phantom Metric: Falsifying Dark Matter via High-Redshift Kinematics and Macroscopic Lensing

We present three 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 $V_{calculated} = \\sqrt{V_{baryonic}^2 v}$ with a universally locked stellar mass-to-light ratio ($\\Upsilon_* \\approx 0.46$). This proves that the Dual Saturation and Manifold Expansion mechanics are 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 Global Envelope 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 Global Envelope Saturation boundary, perfectly matching the local SLACS observations with zero dark matter. Confirmation of these numerical thresholds would constitute a definitive falsification of the standard $\\Lambda$CDM dark matter paradigm.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-14
DOI
https://doi.org/10.5281/zenodo.22753099
Primary Topic
Galaxies: Formation, Evolution, Phenomena
Type
preprint
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preprint

Empirical Predictions of The Phantom Metric: Falsifying Dark Matter via High-Redshift Kinematics and Macroscopic Lensing

Tomer Haimovich
Zenodo (CERN European Organization for Nuclear Research)
Galaxies: Formation, Evolution, Phenomena
preprint

Empirical Predictions of The Phantom Metric: Falsifying Dark Matter via High-Redshift Kinematics and Macroscopic Lensing

Tomer Haimovich
preprint en

Abstract

We present three 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 $V_{calculated} = \sqrt{V_{baryonic}^2 v}$ with a universally locked stellar mass-to-light ratio ($\Upsilon_* \approx 0.46$). This proves that the Dual Saturation and Manifold Expansion mechanics are 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 Global Envelope 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 Global Envelope Saturation boundary, perfectly matching the local SLACS observations with zero dark matter. Confirmation of these numerical thresholds would constitute a definitive falsification of the standard $\Lambda$CDM dark matter paradigm.

Zenodo (CERN European Organization for Nuclear Research)
Galaxies: Formation, Evolution, Phenomena
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