The Chiral Mean Field (CMF) model is based on a non-linear realization of the SU(3) sigma model, where hadrons interact through meson exchange, including \sigma, \zeta, \delta, \omega, \phi, and \rho. It is constructed in a chirally invariant manner, with most of the particle masses deriving from interactions with the medium. Consequently, these masses decrease at high densities and/or temperatures [1]. The commonly used sigma model is enhanced by the non-linear realization, which employs pseudoscalar mesons as angular parameters for the chiral transformation. This model also offers an ideal mechanism for generating equations of state (EoS’s) for astrophysical applications and has been fitted to match low- and high-energy physics data [2]. It is applicable at zero temperature, intermediate, and higher temperatures, accommodating degrees of freedom expected to manifest in various astrophysical scenarios, including leptons, baryons, and quarks, all within a single description. Furthermore, it reproduces QCD features such as chiral symmetry restoration and the transition to quark matter (utilizing a Polyakov-inspired loop (\Phi) as an order parameter for the deconfinement phase transition) [3]. The model is relativistic and thus respects causality, provided that repulsive vector interactions do not exceed certain limits [4]. Moreover, the model has been extended to account for the influence of magnetic fields and anomalous magnetic moments [5]. For more information about the CMF++ module, see the full MUSES documentation. Immutable commit for v1.0.1: https://gitlab.com/nsf-muses/module-cmf/cmf/-/tree/v1.0.1?ref_type=tags MUSES project website: https://musesframework.io/