Gates carbon drive on carbon frame It is hard to prove non-existence, but as far as my research goes, there is no carbon frame available for belt drive systems like Gates. My guess is that this is due to the requirement to be able to open and close the frame during belt installation. However, at the same time, carbon frame manufacturers claim that they can tailor a frame's lateral &amp; etc. stiffness by layer density, fibre orientation and the like.
So my question is what is the exact reason why belt drive systems are not available on carbon frames?

...of course, I'd also be happy if my research turns out to be incomplete...
There is no reason a carbon fiber composite frame could not be built to accommodate a Gates drive. CFC can be bonded to a metal split dropout no problem.

CFC frames designed for Gates drives are likely not common because the frame materials and drives are intended for different niches. CFC frames are intended to be light, efficient and fast, are relatively expensive compared to other frame materials and are combined with derailleur drivetrains. Gates drives require internally geared hubs which are a bit heavy and are aimed at 'practical' cycling offering no mess and low maintenance, where CFC frames are not used as alloy frames are perfectly adequate.