I've dealt a bit with this stuff as well (cooling, electronics, TE's etc).   Technically, you need MORE cooling watts than heat watts produced.  As, in general, it is harder to cool than to heat.  (E.G it takes to add heat energy and more to subtract heat energy)  In a case with TE's a 250w heatsink was required to remove 100w of actual heat produced (Delta 10%F).  Operational temp of device was 10%F I suppose also, so you wouldn't need 3-4x if a larger delta is fine.

So, to cool 11,2Kw; I would assume, you prolly need around 15Kw of cooling ~ 74F final room temp+/-

(no physics isn't being violated.  You need to compare in J instead.  Essentially much less "time" required to heat than cool.  Also relates to lower energy of cool)