What question did this study set out to answer?

This research aims to establish a unique relation for QCD density based on fundamental constants.

May 31, 2026Open Access

P74: rhoc as the Natural QCD Density — Numerical Observation and Open Conjecture: rhoc = LambdaQCD³/ℏ³c³

Key Points

This research aims to establish a unique relation for QCD density based on fundamental constants.
Utilized the CCEGA framework with phenomenological parameter ρ_c = 7.4 ρ_nuc.
Fixed parameters to reproduce maximum mass M_max = 4.56 M☉.
Documented numerical observations and analyzed the relationship between ρ_c and fundamental constants.
Numerical observation supports ρ_c = Λ_QCD³/ℏ³c³, with Λ_QCD = 208.7 MeV (210 ± 14 MeV).
This relationship is constructible only from Λ_QCD and fundamental constants without additional parameters.
Identified the open problem regarding deriving ρ_c from first principles as the deepest challenge.

Abstract

The CCEGA framework contains one phenomenological parameter: ρc = 7. 4 ρₙuc, fixed to reproduce Mₘax = 4. 56 M☉. We report the numerical observation that ρc = ΛQCD³/ℏ³c³ with ΛQCD = 208. 7 MeV — within experimental uncertainty (210 ± 14 MeV). This is the unique density constructible from ΛQCD 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 ρc from first principles remains the deepest open problem of the framework.

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Cite This Study

López Sánchez Marc (Fri,) studied this question.

synapsesocial.com/papers/6a1bd1b05783ba022b6fd2b9 https://doi.org/https://doi.org/10.5281/zenodo.20440384

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