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In all fairness, Halo doesn't obey thermodynamics or explosion physics at all. All of the 9-A to 8-C plasma weapons would function more like high explosives than just soaking all of their energy into their target if it were at all realistic.Oh that part. Honestly, though, the issue is also not factoring in the transfer of energy to object since you still factor in energy dispersal.
It is definitely fast for the Incineration, but problem probably lies in a theoretical scenario where we see a Incineration Cannon effectively destroys a Proto Grave mind.
Keep in mind, we never actually saw it in action so the results is up on the air regarding that part as I assume you doing the one shot method on a Proto Gravemind in a theoretical yet plausible scenario.
However, the results are instantaneous on small targets on the disintegration effect IIRC, but I not sure on the large targets like a Proto Gravemind or bigger in that case.
Probably take a few seconds at best perhaps on that, but again, theoretically plausible given the evidence provided
The uncharged plasma bolts for instance are 24 megajoules. That much energy in those little bolts carries far more potential energy density than an RPG-7 round, but of course Halo doesn't behave realistically.
My point is that trying to use emissivity to quantify this leads to a paradox, why would these weapons even be capable of the feats they are calculated at? This is why using the weapon's known blast radius with the inverse square law is the most reasonable middle ground.
But regardless, this discussion is theoretical. The calc has not been evaluated yet, but I am having this discussion because if this narrative persists, I foresee it being a huge issue later on.