P74: rho_c as the Natural QCD Density — Numerical Observation and Open Conjecture: rho_c = Lambda_QCD³/ℏ³c³

The CCEGA framework contains one phenomenological parameter: ρ_c = 7.4 ρ_nuc, fixed to reproduce M_max = 4.56 M☉. We report the numerical observation that ρ_c = Λ_QCD³/ℏ³c³ with Λ_QCD = 208.7 MeV — within experimental uncertainty (210 ± 14 MeV). This is the unique density constructible from Λ_QCD and fundamental constants alone. If this relation has a dynamical origin in the brane geometry + QCD, CCEGA would have no free parameters. We document three supporting observations, identify the open problem, and propose a falsification path. The derivation of ρ_c from first principles remains the deepest open problem of the framework.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-29
DOI
https://doi.org/10.5281/zenodo.20440383
Primary Topic
Particle physics theoretical and experimental studies
Type
preprint
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preprint

P74: rho_c as the Natural QCD Density — Numerical Observation and Open Conjecture: rho_c = Lambda_QCD³/ℏ³c³

López Sánchez Marc
Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
preprint

P74: rho_c as the Natural QCD Density — Numerical Observation and Open Conjecture: rho_c = Lambda_QCD³/ℏ³c³

López Sánchez Marc
preprint en

Abstract

The CCEGA framework contains one phenomenological parameter: ρ_c = 7.4 ρ_nuc, fixed to reproduce M_max = 4.56 M☉. We report the numerical observation that ρ_c = Λ_QCD³/ℏ³c³ with Λ_QCD = 208.7 MeV — within experimental uncertainty (210 ± 14 MeV). This is the unique density constructible from Λ_QCD and fundamental constants alone. If this relation has a dynamical origin in the brane geometry + QCD, CCEGA would have no free parameters. We document three supporting observations, identify the open problem, and propose a falsification path. The derivation of ρ_c from first principles remains the deepest open problem of the framework.

Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
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