That is taking energy from the sun, and it is relying on the Earth to maintain certain temperature parameters. It won't last 10k years anyway. If nothing else, the glass will probably degrade over a long enough period of time. There's also a constant chance of a freak mutation destroying the equilibrium of the system.

In outer space, cosmic rays will make this process faster. Also, in outer space, it will need a constant source of light for biological reactions, and also just to keep from slowly cooling down to 0k through heat emission.