When Detective Miller goes into the club Tech Noir and gets into the back electronics area, he starts scanning various memory storage devices that are scattered on the table amidst various bits of tech. They are all empty. However, when he scans them, each one shows 0.0 YB. YB in this context most likely means yottabytes. A yottabyte is one trillion terabytes. This gives a good idea of the level of technology this society has, even the poverty stricken belters. A typical flash drive for them stores a trillion terabytes.
Holden renames the Martian military gunship 'Rocinante', and says that it is Spanish for "work horse". It is also famously the horse of Don Quixote - a very old, sway-backed, worn out, skin-and-bones nag - who carries him on a foolish quest of misguided chivalry that brings nothing but defeat and humiliation. Yet the "ingenious gentleman" and his steed carry on...
There is an area on Ceres station called "Rosse Buurt". This is actually Dutch for "Red Light District"
The club Tech Noir would appear to be a nod to the club Tech Noir from The Terminator where the Terminator finally catches up to Sarah Connor and is blasted with shotgun by Kyle Reese.
In renaming the "Tachi" Naomi mentions transponder circuits being made of graphene. Graphene is a pure allotrope of carbon forming a two -dimensional hexagonal matrix. This cousin of carbon nanotubes is very, very strong and light and electrically conductive. In 2004 two University of Manchester scientists made the big breakthrough in identifying and studying graphene. This Nobel Prize winning work was totally dependent on two pieces of Scotch Tape.