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Context. We present a reanalysis of the distribution of galaxies in the$\log(\langle I\rangle_e)-\log(R_e)$ plane under a new theoretical perspective.Aims. Using the data of the WINGS database and those of the Illustrissimulation we will demonstrate that the origin of the observed distribution inthis parameter space can be understood only by accepting a new interpretationof the $\log(L)$-$\log(\sigma)$ relation Methods. We simulate the distributionof galaxies in the $\log(\langle I\rangle_e)-\log(R_e)$ plane starting from thenew $L=L_0'\sigma^\beta$ relation proposed by D'Onofrio et al. (2020) and wediscuss the physical mechanisms that are hidden in this empirical law. Results.The artificial distribution obtained assuming that beta spans either positiveand negative values and that $L'_0$ changes with $\beta$, is perfectlysuperposed to the observational data, once it is postulated that the Zone ofExclusion (ZoE) is the limit of virialized and quenched objects. Conclusions.We have demonstrated that the distribution of galaxies in the $\log(\langleI\rangle_e)-\log(R_e)$ plane is not linked to the peculiar light profiles ofthe galaxies of different luminosity, but originate from the mass assemblyhistory of galaxies, made of merging, star formation events, star evolution andquenching of the stellar population.

A tomography of the $\log(\langle I\rangle_e)-\log(R_e)$ plane