What does this research mean for the field?

Dark matter phenomena can be explained as an emergent geometric illusion caused by gravitational leakage from a 5D holographic bulk, which accurately reproduces galaxy rotation curves without requiring non-baryonic cold dark matter. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.CHALLENGES_CONSENSUS.

What question did this study set out to answer?

To formulate a five-dimensional holographic geometric leakage model that explains galactic rotation curves and lensing anomalies without invoking non-baryonic dark matter particles.

August 26, 20260 citationsOpen Access

Geometric Leakage: A 5D Holographic Solution to Dark Matter and a Falsifiable Prediction for Euclid

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SASaif mohammed mohammed AlMuaazab

Key Points

To formulate a five-dimensional holographic geometric leakage model that explains galactic rotation curves and lensing anomalies without invoking non-baryonic dark matter particles.
Derived orbital velocity equations, lensing deflection angles, and an entanglement stress tensor based on 5D holographic bulk geometry.
Fitted rotation curves for dwarf, intermediate, and giant galaxies from the SPARC database to extract the geometric leakage scale parameter.
Formulated observational weak lensing profiles and shear discontinuity predictions for verification by the Euclid space telescope.
Matched SPARC galaxy rotation curves with high precision across dwarf (DDO 154: χ²_ν = 1.12), intermediate (NGC 3198: χ²_ν = 0.53), and giant galaxies (UGC 2885: χ²_ν = 1.18).
Empirical benchmarking confirmed the leakage scale mass exponent α = 0.341 ± 0.054, matching the theoretical prediction of 1/3 for baryonic mass scaling.
Predicted a 76.2% suppression of cluster excess surface density at R = R5 + σ alongside a localized shear discontinuity of approximately 14.22 arcseconds.

Abstract

### Falsifiable Observational Predictions 10⁹ M_ | R₅ \; kpc | v₋₄₀₊₀₆₄ \; km/s | _² (5D Model) | _² (NFW DM) | |: --- |: ---: |: ---: |: ---: |: ---: |: ---: | | **DDO 154** (Dwarf) | 0. 3 | 11. 78 5. 34 | 67. 94 12. 39 | **1. 12** | 1. 35 | | **NGC 3198** (Intermediate) | 70. 0 | 4. 11 0. 26 | 134. 06 0. 99 | **0. 53** | 0. 60 | | **UGC 2885** (Giant) | 400. 0 | 26. 17 2. 61 | 259. 67 6. 91 | **1. 18** | 1. 45 | --- ## Abstract We present a radical and unified solution to the dark matter enigma in modern cosmology without invoking non-baryonic cold dark matter (LCDM) or exotic WIMPs. We demonstrate that dark matter is an emergent geometric illusion resulting from "Geometric Leakage" of gravitational strength from a 5D holographic bulk into our 4D spacetime. Building upon this framework, we formulate an exact orbital velocity equation that naturally reproduces galaxy rotation curves across dwarf, intermediate, and giant galaxies from the SPARC database with high statistical precision (chi²ₙu < 1. 2). Furthermore, we prove that the characteristic leakage scale R5 is not a universal constant but obeys a dynamic scaling relation with baryonic mass (AlMuaazab Scaling Law: R5 ~ Mbar^ (1/3) ), explaining the absence of dark matter signatures on Solar System scales. Finally, the model provides a falsifiable prediction: a sharp, non-chemical optical discontinuity in gravitational weak/strong lensing profiles at R5 ~ 300 kpc for galaxy clusters, directly testable by the Euclid space telescope.

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Geometric Leakage: A 5D Holographic Solution to Dark Matter and a Falsifiable Prediction for Euclid

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