how can i connect ps4 to thunderbolt display ?

you cannot

yes, your ps4 does not have thunderbolt technology.

you CAN connect it to a led cinena display. both are listed here as in stock right now. the displays physically look the same from the front, but they have different connectors on the back.

http://store.apple.com/us/browse/home/specialdeals/mac/displays

http://store.apple.com/us/product/FC007LL/A/refurbished-apple-led-cinema-display -27-flat-panel

You totally can. Thunderbolt displays are supported by this product. http://gamerzone.avermedia.com/game_capture/extremecap_u3

You totally can. Thunderbolt displays are supported by this product. http://gamerzone.avermedia.com/game_capture/extremecap_u3

That connect the PS4 video to a computer. IF the Computer has a Thunderbolt port you can then display the compter output on a Thunderbolt display.

Mini display port converter to hdmi should work, put your mac in target display mode when you start it up.