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This work aims to establish a UV-finite entropic observable related to mutual information in the scalar QCD sector.

March 17, 20260 citationsOpen Access

Holographic Area Scaling of the QCD-Induced Cosmological Closure

Puntos clave

This work aims to establish a UV-finite entropic observable related to mutual information in the scalar QCD sector.
Defined mutual information observable for the scalar QCD sector.
Connected the observable to microphysical input extracted from <Theta Theta>.
Derived cubic UV/IR identity relating various physical quantities.
Demonstrated numerical saturation of mutual information under certain conditions.
Calculated values for alpha, N_cells/S_dS, and xi_sat, indicating strong values compatible with theoretical expectations.
Showed independent cross-checks of FRW closure using numerical saturation at specific length scales.
Identified uncertainties dominated by kappa and H_0 as compatible with laboratory values.

Resumen

Abstract (English) We define a UV-finite entropic observable for the scalar QCD sector based on mutual information, xiMIrhoTheta (L), and connect it to the microphysical input kappa extracted from. Under the operational hypothesis that identifies the subtracted Casimir/response-like piece as the effective source in Friedmann, late-time closure implies the cubic UV/IR identity l_*³ = alpha (kappa) lPl² LdS with l_* = mu_*^-1, together with a cell count Ncells = (LdS/l_*) ³ = LdS² / alpha (kappa) lPl², i. e. area scaling with a prefactor fixed by kappa. Treating holography as a consistency condition rather than as an additional equation, if Sₑff = xi Ncells represents the sector's coarse-grained entropy/information, the covariant Bousso bound requires xi. Bajo la hipótesis operacional que identifica la pieza sustraída tipo Casimir/response como la fuente efectiva en Friedmann, el cierre late-time implica la identidad UV/IR cúbica l_*³ = alpha (kappa) lPl² LdS con l_* = mu_*^-1, junto con un conteo Ncells = (LdS/l_*) ³ = LdS² / alpha (kappa) lPl², es decir, un escalado de área con prefactor fijado por kappa. Tratando la holografía como condición de consistencia y no como ecuación adicional, si Sₑff = xi Ncells representa la entropía/información coarse-grained del sector, el bound covariante de Bousso exige xi <= xiₛat (kappa) = pi alpha (kappa). Para kappa = 0. 449163 obtenemos alpha ≈ 1. 939, Ncells/SdS = 0. 164 y xiₛat = 6. 094, y mostramos además que xiMI (L) presenta una saturación numérica en L_* ≈ 0. 82 fm sin parámetros libres, lo que proporciona un test cruzado micro-macro independiente del cierre FRW. Como chequeo adicional, al usar LdS = c/HLambda con HLambda = H₀ sqrt (OmegaLambda) en LambdaCDM plano y valores experimentales de GN, la identidad resulta compatible con el valor de laboratorio dentro de incertidumbres dominadas por kappa y H₀. Enfatizamos que imponer Sₑff = SdS no proporciona una ecuación adicional para fijar GN: dentro del marco mínimo se requiere un input dimensional externo, mientras que el par (kappa, xiMI) aporta tests cruzados independientes.

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