I'm not sure we are thinking the same thing
the phone will send a signal to the TV via HDMI using a cable with micro hdmi on the phone end
BUT mirroring on my vizio TV requires using a device using both the HDMI port for the video signal and the USB port for powering the device
i admit i'm not familiar with trying to mirror the phone via the bluray player
but I assume you would need wifi connection to the BR player and HDMI cable from the player to the TV
and would have to activate the player first via its built in function from the player menu, then link the phone to the player
i have used both phone and tablet via hdmi to the TV, to display movies
but now i just use my media player connected to the internet via wifi
as i remember it the GoogleTV is supposed to connect to the internet via wifi and be controlled by your phone, isn't IT supposed to mirror your laptop ?