Dependence of Galaxy Stellar Properties on the Primordial Spin Factor

Abstract

We present a numerical discovery that the observable stellar properties of present galaxies retain significant dependences on the primordial density and tidal fields. Analyzing the galaxy catalogs from the IllustrisTNG 300-1 simulations, we first compute the primordial spin factor, $\tau$, defined as the mean degree of misalignments between the principal axes of the initial density and potential hessian tensors at the protogalactic sites. Then, we explore in the framework of Shannon's information theory if and how strongly each of six stellar properties of the present galaxies, namely the stellar sizes, ages, specific star formation rates, optical colors and metallicities, share mutual information with $\tau$, measured at $z=127$. The TNG galaxy samples are deliberately controlled to have no differences in the mass, environmental density and shear distributions and to single out net effects of $\tau$ on each of the galaxy stellar properties. In the higher stellar mass range of $M_{\star}/(h^{-1}\,M_{\odot})\ge 10^{10}$, significant amounts of mutual information with $\tau$ are exhibited by all of the six stellar properties, while in the lower range of $M_{\star}/(h^{-1}\,M_{\odot})< 10^{10}$ only four of the six properties except for the specific star formation rates and colors yield significant signals of $\tau$-dependence. It is also shown that the galaxy stellar sizes, which turn out to be most robustly dependent on $\tau$ regardless of $M_{\star}$, follow a {\it bimodal} Gamma distribution, the physical implication of which is discussed.