AMAZING! Strangest hardware problem ever???

[quarkx]

Kind of looks like any pressure on the "deck" brings the thing back to life. That would lead me to hypothesize that there is some sort of loose connections somewhere under the deck. Might even be a cold solder, or something simple as the touchpad plug is not seated properly. My recommendation is if you can, take the outer shell off and carefully check all of the connection points and any plugs to make sure if they are seated properly.Even the cards might have become a little out of alignment, with the normal movements that a laptop might take.
This, of course might be easier said than done, as it looks like a Toshiba laptop, and Toshiba's can be a real pain to take apart. the "nice" and only good thing is that the CPU is usually socketed, and easy to upgrade, but a real pain to put back together.
You can always try the "Apple3" trick and drop it straight down on the table and see if that re-seats the components. :-D

[quarkx]

ok, upon re-watching, I see that it is an HP pavilion. HP's are a BIT easier to take apart, but not by much. If you attempt to remove the outer shell, my best advice is to be careful,slow and patient, don't force things, once you do one, it is pretty straight forward, and much easier to put back together. In doing many laptop repairs, I can honestly say, I have not seen this particular problem (usually, I am replacing screens, replacing drives and burners, and taking them apart to custom paint the shells), but it is not all that complicated to see how everything fits together.