Prime-Fractal Interactions under the Universal Model Framework

This module presents high-fidelity computational protocols and empirical tests validating key predictions of the Universal Model Framework (UMF). It includes Planck-scale Monte Carlo nucleosynthesis reproducing the cosmic proton-to-neutron ratio (83:17), Bayesian analysis of CMB multipole alignment with prime harmonics, and re-analysis of LIGO O3 gravitational wave data revealing spectral density enhancements at 541 Hz and 809 Hz. Additionally, it introduces methods for generating p-adic fractal strings and evaluating prime-resonant structures. Each protocol is fully documented with parameters, code templates, statistical tests, and result tables to ensure scientific reproducibility. These results contribute to establishing the UMF as a falsifiable, number-theoretic substrate of spacetime with testable predictions across quantum, cosmological, and information-theoretic domains. 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
2025-05-02
DOI
https://doi.org/10.5281/zenodo.15623786
Primary Topic
advanced mathematical theories
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Prime-Fractal Interactions under the Universal Model Framework

Zenodo (CERN European Organization for Nuclear Research)
advanced mathematical theories
article

Prime-Fractal Interactions under the Universal Model Framework

article en

Abstract

This module presents high-fidelity computational protocols and empirical tests validating key predictions of the Universal Model Framework (UMF). It includes Planck-scale Monte Carlo nucleosynthesis reproducing the cosmic proton-to-neutron ratio (83:17), Bayesian analysis of CMB multipole alignment with prime harmonics, and re-analysis of LIGO O3 gravitational wave data revealing spectral density enhancements at 541 Hz and 809 Hz. Additionally, it introduces methods for generating p-adic fractal strings and evaluating prime-resonant structures. Each protocol is fully documented with parameters, code templates, statistical tests, and result tables to ensure scientific reproducibility. These results contribute to establishing the UMF as a falsifiable, number-theoretic substrate of spacetime with testable predictions across quantum, cosmological, and information-theoretic domains. 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 48%
advanced mathematical theories
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Prime-Fractal Interactions under the Universal Model Framework · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS