I've killed 20+ brown bears, all with modern rifles. I've taken all of them apart, plus ones not shot by me. All of which is to say I've seen a number of them killed and how they're constructed. I've also investigated multiple brown bear maulings and one predatory attack where the victim was consumed.
While it could be possible to kill a brown bear with a .54 prb, I wouldn't recommend trying it at all. It was Bob Hagel who said in essence "Don't use a gun that will kill things under perfect conditions......" and such is sound advice in this sort of idea scenario. Brown/grizzly bears are not especially stout through the ribs, and if you could shoot a calm, unexcited animal perfectly broadside and can get penetration on both lungs, he'll certainly die.
The problem with this idea is it takes alot of far ranging possibilities and mixes them up into an exercise brimming with much more optimism than likelihood of success. While light in the ribs, any angle other than broadside must deal with some heavy, dense muscles. That's asking alot from a .54 PRB. These animals, once motivated, have a rather incredible ability to sustain multiple mortal wounds and keep fighting long enough to make a person look as though they've jumped into a wood chipper. Just like humans, every individual bear has a unique disposition and varying levels of aggressiveness. They do not enjoy being startled and when that stimulus happens in PRB range they respond with either immediate attack or flight. Basically what I'm saying to the OP's friend is that he's wanting to take on an incredibly dangerous animal with a completely substandard weapon option and put himself and anyone with him in danger. The only way this idea should be attempted is with a guide carrying a proper backup rifle. If that's the case, our hunter should accept from the get go that he's likely to pay alot of money to shoot a bear that will likely end up with a number of extra big caliber modern gun holes in it.