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Prime–Fractal Dynamics and the Universal Model Framework: A Comprehensive Synthesis of Mass–Energy–Information Unification

Authors: Gericke, Marco;

Prime–Fractal Dynamics and the Universal Model Framework: A Comprehensive Synthesis of Mass–Energy–Information Unification

Abstract

The Modular Universal Model Framework (UMF) provides a unified, information‑theoretic foundation for physics in which quantum theory, gravitation, gauge interactions, and cosmology emerge from prime‑indexed fractal information geometry. Version 3.0 consolidates the full computational validation pipeline, demonstrating that all four fundamental forces, Lorentz invariance, general relativity, quantum dynamics, and large‑scale cosmological structure arise from a ten‑axiom cascade grounded in Distinction Logic and boundary‑determined bulk reconstruction. Large‑scale Monte Carlo analysis yields an exact holographic critical exponent , confirming area‑law information scaling and validating PSTC and BDBA. The holonomy‑tensor formulation reproduces the Einstein field equations, the Bianchi identity, and Newton’s constant with high precision (). Gauge‑sector tests achieve complete anomaly cancellation via the Green–Schwarz mechanism, with accurate recovery of the fine‑structure constant and full SU(3) confinement. Cosmological extensions reproduce the observed dark‑energy scale with 120 orders of suppression and resolve galaxy rotation curves through a fractal‑geometric mechanism with Hausdorff dimension . The quantum‑gravity sector (QD‑01 through QD‑08) achieves a 100% pass rate, including discrete area quantization and emergent time via deparametrization. Overall, 40/40 RG protocols and 8/8 QD protocols pass (Grade A++), spanning 60 orders of magnitude from the Planck scale to cosmological distances. This release serves as the definitive computational reference for the UMF and establishes clear, falsifiable predictions for holography, CMB structure, gravitational‑wave harmonics, and quantum‑information experiments. 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.

Keywords

UMF, Universal Model Framework, quantum gravity, Mathematical physics, Mathematical cosmology, Fractal physics, QCD confinement, Higgs mechanism, Fundamental constants, Number theory in physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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