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 discrete spacetime framework. The model derives galactic rotation curves and gravitational lensing solely from baryonic mass and a fundamental acceleration scale a₀ = (c · H₀) / 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 V_calculated = √(V_baryonic² · v) with a universally locked stellar mass-to-light ratio (Y_★ ≈ 0.46). Prediction II: Euclid observations of morphologically relaxed galaxy clusters will yield Einstein ring radii (R_E) strictly dictated by the metric's Bounding Box, precisely defined as R_E = R_BB = √(G · M_baryon / a_0eff) using only the observable ~13% baryonic mass fraction. 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 bounding box, perfectly matching the local SLACS observations with zero dark matter. Confirmation of these numerical thresholds would constitute a definitive falsification of the standard ΛCDM dark matter paradigm.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-13
DOI
https://doi.org/10.5281/zenodo.21917628
Primary Topic
Dark Matter and Cosmic 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)
Dark Matter and Cosmic 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 discrete spacetime framework. The model derives galactic rotation curves and gravitational lensing solely from baryonic mass and a fundamental acceleration scale a₀ = (c · H₀) / 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 V_calculated = √(V_baryonic² · v) with a universally locked stellar mass-to-light ratio (Y_★ ≈ 0.46). Prediction II: Euclid observations of morphologically relaxed galaxy clusters will yield Einstein ring radii (R_E) strictly dictated by the metric's Bounding Box, precisely defined as R_E = R_BB = √(G · M_baryon / a_0eff) using only the observable ~13% baryonic mass fraction. 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 bounding box, perfectly matching the local SLACS observations with zero dark matter. Confirmation of these numerical thresholds would constitute a definitive falsification of the standard ΛCDM dark matter paradigm.

Zenodo (CERN European Organization for Nuclear Research)
Dark Matter and Cosmic Phenomena
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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) (2026) | TGRS Research Map | TGRS