Prime–Fractal Rosetta Stone: Mapping the Universal Model Framework onto QFT, GR and ΛCDM

This paper presents a “Rosetta Stone” for the Universal Model Framework (UMF), mapping its core components—prime-indexed lattices, entropy gradients, and Euler rotations—onto the formal structures of Quantum Field Theory (QFT), General Relativity (GR), and ΛCDM cosmology. By systematically aligning ontology, mathematics, information flow, and empirical observables, the UMF emerges not as a rejection of standard physics, but as its arithmetic substrate. The document offers both a unifying conceptual dictionary and an experimental roadmap for testing prime-modulated signatures in gravitational waves, CMB multipoles, and lattice QCD. This project was developed by Marco Gericke, with structured assistance from a large language model. All scientific concepts and conclusions were generated, verified, and interpreted by the author. Dedicated to Peter Plichta, who envisioned the code before it could be computed.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-05-20
DOI
https://doi.org/10.5281/zenodo.15477062
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Prime–Fractal Rosetta Stone: Mapping the Universal Model Framework onto QFT, GR and ΛCDM

Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
article

Prime–Fractal Rosetta Stone: Mapping the Universal Model Framework onto QFT, GR and ΛCDM

article en

Abstract

This paper presents a “Rosetta Stone” for the Universal Model Framework (UMF), mapping its core components—prime-indexed lattices, entropy gradients, and Euler rotations—onto the formal structures of Quantum Field Theory (QFT), General Relativity (GR), and ΛCDM cosmology. By systematically aligning ontology, mathematics, information flow, and empirical observables, the UMF emerges not as a rejection of standard physics, but as its arithmetic substrate. The document offers both a unifying conceptual dictionary and an experimental roadmap for testing prime-modulated signatures in gravitational waves, CMB multipoles, and lattice QCD. This project was developed by Marco Gericke, with structured assistance from a large language model. All scientific concepts and conclusions were generated, verified, and interpreted by the author. Dedicated to Peter Plichta, who envisioned the code before it could be computed.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 45%
Algebraic and Geometric Analysis
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