The NavMesh Cosmology: Resolving the Vacuum Catastrophe, the Hubble Tension, and Deriving the Absolute Baryonic Mass of the Universe via Computational Spatial Friction
The persistent discrepancy between local kinematic measurements of the Hubble constant (H₀) and extrapolations from the Cosmic Microwave Background (CMB) under the ΛCDM framework has driven modern cosmology into a crisis. Furthermore, the 10¹²² magnitude gap between the theoretical energy of the vacuum and observed reality—the Vacuum Catastrophe—remains fundamentally unsolved. In this paper, we present a unified, parameter-free discrete geometric framework that eliminates the necessity of hypothetical Dark Matter halos or abstract Dark Energy [1]. We model the universe as a discrete spatial lattice (NavMesh), demonstrating that time is not an independent, fundamental dimension, but an emergent relativistic property born exclusively from structural friction.By analyzing a comprehensive ensemble of 55,877 distinct macroscopic observations from the Cosmicflows-4 database [2], we employ a 3D KD-Tree collision algorithm to map local baryonic data density. By establishing the universe's baseline grid deployment rate at the Planck frequency (5.708503523×10⁶² Hz) and defining baryonic mass as computational latency, we formulate a deterministic prediction engine: 𝐻=𝐻𝑏𝑎𝑠𝑒/√𝐷. This model successfully predicts true galactic velocities with a correlation of 𝑅=0.9039 and an unfiltered explanatory variance of R²=0.8170. Finally, we isolate the universal Slowdown Ratio (𝑆𝑟=7.81558532721796×10⁶⁰), proving that the 10¹²² Vacuum Catastrophe is a geometric deceleration artifact, and that the observed accelerated expansion of the universe (Dark Energy) is explicitly driven by the natural reduction in macroscopic data density over cosmic time. Finally, we elevate this geometric deceleration ratio into a mass-equivalence postulate. By equating the universal Slowdown Ratio (𝑆𝑟≈7.69×10⁶⁰) directly with the fundamental informational capacity limit of the spatial continuum—the Planck mass (𝑚𝑝) [6]—we deterministically derive the total absolute baryonic mass of the observable universe as 1.67×10⁵³ kg. This yields an exact match with empirical astrophysical estimates derived from Big Bang Nucleosynthesis (BBN), entirely eliminating the necessity for hypothetical dark matter payloads and proving the universe operates as a closed, parameter-free computational manifold.
Authors
- Tomer Haimovich (ORCID: https://orcid.org/0009-0002-1536-1397)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-08-13
- DOI
- https://doi.org/10.5281/zenodo.21914286
- Primary Topic
- Cosmology and Gravitation Theories
- Type
- preprint