Paramount and Skydance Productions officially announced the start of production on Terminator: Genesis. The interesting thing about the following PR is that they are not calling it that anymore. They are now calling it the 'Terminator Reboot' (or rather: Terminator). Here is the official word from the studio.Paramount Pictures and Skydance Productions announced today that principal photography is officially underway on the Terminator reboot, directed by Alan Taylor (Thor: The Dark World).