The whole point is the power is different though. If the PS4 can do something, that doesn't mean the Xbox One can do it. Can the Xbox One run BF4 at an increased resolution of 900P and with a 15fps higher frame rate? How come it doesn't? Can the Xbox One run AC4 at 1080P with AA instead of 900P without AA? How come it doesn't? Are the developers lazy?
No, the PS4 is the only one with the latest AMD TrueAudio processor.
http://gearnuke.com/playstation-4-amds-trueaudio-dsp/
No, the PS4 CPU is slightly better and has a higher benchmark (
http://www.neogaf.com/forum/showthread.php?t=737629), and probably has a higher clock speed (
http://n4g.com/news/1400733/ps4-vs-xbox-one-clockspeed-battle-says-ps4-likely-ahead).
What do you mean if not the specifications and cooling? You means the physical build? To quote ExtremeTech's teardown and analysis of both consoles that I provided,
"The Xbox One is basically just a motherboard with a PC-style Blu-ray drive, 2.5-inch hard drive, and an APU with a huge heatsink and fan. There is a lot of empty space in the Xbox One — and don’t forget there’s a separate power brick, too. It would seem the PS4 is much better engineered physically than the Xbox One."
No, the PS4 runs cooler as I linked to earlier:
http://www.extremetech.com/gaming/171440-how-is-the-ps4-smaller-lighter-and-yet-more-powerful-than-the-xbox-one
You have to admit that is a pretty nice feat considering it is not only cooler, but also smaller, lighter and more powerful too.
Yes, the XB1 runs 1 db quieter (
http://www.gamefront.com/how-loud-is-the-xbox-one-compared-to-ps4/) which is a difference most humans can't detect (
http://www.harbeth.co.uk/usergroup/showthread.php?1052-1dB-Difference-an-experiment-in-audibility).
Don't get me wrong, it is a great console, but it does not have even equal, let alone better hardware, unless you ignore all of the above links and define "hardware" as everything but the hardware specifications of the console, the CPU, the GPU, the RAM, the audio and the cooling. Enjoy the games and all the great software features and the camera, but don't fool yourself.