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This analysis considers our universe as a closed Friedmann universe,dominated by vacuum energy in the form of a cosmological constant, withcosmological parameters obtained from full mission Planck satelliteobservations. A few simple assumptions lead to straightforward calculation ofgeneral features of large scale structures in the universe and minimum stellarmass as a function of redshift. Those assumptions also generate upper and lowerbounds on supermassive black hole mass in relation to total stellar mass of thehost galaxy, consistent with observations across four orders of magnitude ofblack hole mass and five orders of magnitude of galactic stellar mass. Theresults are based only on fundamental constants and measured cosmologicalparameters. No arbitrary parameters are involved.

Holography, large scale structure, supermassive black holes, and minimum stellar mass