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The Universal Model Framework Solution to the Cosmological Constant Problem: Prime-Regulated Boundary Functional with Hierarchical RG Cascade

Authors: Gericke, Marco;

The Universal Model Framework Solution to the Cosmological Constant Problem: Prime-Regulated Boundary Functional with Hierarchical RG Cascade

Abstract

This white paper presents a unified cosmology within the Universal Model Framework (UMF) by combining four renormalization-group modules: RG-18 (vacuum entropy closure), RG-29 (dynamic Λ evolution), RG-33 (holographic consistency), and RG-40 (cosmological extension). RG-18 delivers a natural, multi-mechanism suppression of the cosmological constant by 112.9 orders (93% of the 122-order target) via a seven-stage prime-fractal cascade augmented by holographic entropy feedback, reframing the “fine-tuning” problem as a multi-scale dynamics outcome. RG-29 implements time-dependent entropy-coupled flow for Λ(z), predicting mild phantom-like evolution for w(z) and log-periodic signatures from the prime lattice, consistent in spirit with DESI’s evolving dark energy hint while inviting quantitative refinement. RG-33 resolves an anomalous-dimension inconsistency by enforcing holographic unitarity and the area law, selecting η = 1.0 ± 0.1 as the unified value compatible with AdS/CFT constraints and square-root entropy scaling. RG-40 embeds G_eff(z) and an information-theoretic Λ_UMF into a Friedmann equation that reproduces Planck ΛCDM H(z) to within 0.01% for z ≤ 1, meeting a 2% acceptance threshold by a factor of ~300. The framework yields falsifiable predictions for Euclid, DESI, Roman, and CMB-S4, including scale-dependent gravity at the 10⁻⁴ level, log-periodic Λ(z) modulations, and information-theoretic constraints on w(z) and cosmic entropy saturation 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

Vacuum, Cosmological Constant Problem, Mathematical physics, Chaos Theory, Number Theory, Fractal Dynamics, Holographic Principle, Fine-Tuning Problem, Theoretical physics, Dark Energy

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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
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