The Observer's Distortion Coefficient (Part II): Digital Topology and Computational Latency as a Replacement for Dark Matter: A 98% Predictive Fit for Galaxy NGC 2403 using Golden Ratio Scaling

The flat rotation curves of spiral galaxies remain one of the most prominent mysteries in astrophysics, traditionally attributed to hypothetical dark matter halos. In this paper, we propose an alternative framework based on a digital topological structure of spacetime. Building upon the theoretical foundation of information packing established in Part I, we introduce a physical acceleration floor 𝑎0=1.12879×10−10 m/s^2 inherent to a spatial computational grid (NavMesh), scaled precisely by the Golden Ratio (𝜑≈1.618). By applying an information-theoretic latency correction function to the classical Newtonian acceleration, we reconstruct the rotation curve of the SPARC catalog galaxy NGC 2403 as a canonical proof-of-concept. Utilizing a strictly locked stellar mass-to-light ratio (Υ∗=0.412016)—falling well within the stringent astrophysical bounds for 3.6 𝜇m photometry—our model achieves a predictive goodness-of-fit of 𝑅^2=0.9801 against empirical observations, without invoking arbitrary dark matter distributions or ad-hoc curve-fitting parameters.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-03
DOI
https://doi.org/10.5281/zenodo.21775938
Primary Topic
Topological and Geometric Data Analysis
Type
preprint
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preprint

The Observer's Distortion Coefficient (Part II): Digital Topology and Computational Latency as a Replacement for Dark Matter: A 98% Predictive Fit for Galaxy NGC 2403 using Golden Ratio Scaling

Tomer Haimovich
Zenodo (CERN European Organization for Nuclear Research)
Topological and Geometric Data Analysis
preprint

The Observer's Distortion Coefficient (Part II): Digital Topology and Computational Latency as a Replacement for Dark Matter: A 98% Predictive Fit for Galaxy NGC 2403 using Golden Ratio Scaling

Tomer Haimovich
preprint en

Abstract

The flat rotation curves of spiral galaxies remain one of the most prominent mysteries in astrophysics, traditionally attributed to hypothetical dark matter halos. In this paper, we propose an alternative framework based on a digital topological structure of spacetime. Building upon the theoretical foundation of information packing established in Part I, we introduce a physical acceleration floor 𝑎0=1.12879×10−10 m/s^2 inherent to a spatial computational grid (NavMesh), scaled precisely by the Golden Ratio (𝜑≈1.618). By applying an information-theoretic latency correction function to the classical Newtonian acceleration, we reconstruct the rotation curve of the SPARC catalog galaxy NGC 2403 as a canonical proof-of-concept. Utilizing a strictly locked stellar mass-to-light ratio (Υ∗=0.412016)—falling well within the stringent astrophysical bounds for 3.6 𝜇m photometry—our model achieves a predictive goodness-of-fit of 𝑅^2=0.9801 against empirical observations, without invoking arbitrary dark matter distributions or ad-hoc curve-fitting parameters.

Zenodo (CERN European Organization for Nuclear Research)
Sustainable cities and communities
Topological and Geometric Data Analysis
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