Thermodynamic Relativistic Gravity - Classical General Relativity (TRG-CGR) Framework: Relativistic Curvature Correction

We present a relativistic curvature-correction formulation within theThermodynamic Relativistic Gravity--Classical General Relativity(TRG-CGR) framework. The framework is proposed as a hybrid extendedgravity approach that incorporates relativistic gravitationalcorrections, thermodynamic considerations, cosmological scaling,and concepts associated with modified Newtonian dynamics, whileretaining General Relativity and the standard FLRW cosmologicalframework as reference descriptions. Two dimensionless relativistic curvature-correction coefficientsare introduced. The strong-field coefficient, $\lambda_s$, isproposed as a discrete variable associated with the totalcurvature-energy modes, with allowed values$\{0,1,2,3\}$. The cosmological-field coefficient, $\lambda_c$,is proposed as a continuous variable dependent on theentropy-energy fraction, cosmic-ladder scaling, entropy-accelerationsuppression, the dimensionless Hubble parameter, and amass-radius screening function. We further introduce the Duawo Minimum Universal CosmologicalAcceleration Constant, defined as the product of the speed of lightand a reference Hubble rate of$1\,\mathrm{km\,s^{-1}\,Mpc^{-1}}$. This reference scale providesa mechanism for expressing the Hubble expansion rate as adimensionless scaling variable. Using the Planck 2018 cosmologicalparameter result, we calculate the corresponding Hubble-associatedacceleration and examine its relationship with the proposedreference acceleration. The numerical evaluation establishes the dimensional consistencyand numerical consequences of the proposed Hubble scalingdefinition. The continuous cosmological-field coefficient requiresa further explicit functional specification before its numericalevaluation and observational testing can be completed.