@Dialn911 I think you misunderstood the point I was trying to make and I think you and I are generally on the same page here...
Ballistics is an exceptionally complicated topic with the transfer of energy from a projectile to a target (the way a bullet does) depending on a great number of factors like speed, mass, diameter, projectile shape, elasticity and plasticity of the projectile, surface texture of the projectile, etc., etc., ad nauseum.
I was not saying that a .50cal cannot take an elk...it's been demonstrated that it can for many, many years. What I was trying to get across is that, again, depending somewhat on the projectile, the performance envelope for a .50 cal to deliver sufficient energy for a clean kill will be different than a .54 cal, or a .45cal, or a .58 cal or a .75 cal. In general, assuming relatively consistent qualities for the projectile, the .50cal will reach the limits of its performance envelope at a slightly shorter range than a larger calibre given the relatively similar velocities that muzzle loading arms produce (though how much shorter and whether that makes an *effective* difference to someone taking *reasonable* ranged shots in the field is debatable).
The archery point I was trying to make was that comparing an arrow with a broadhead to a bullet is, quite frankly, comparing apples to oranges. A broadhead works by cutting and not by bulk energy transfer like a bullet. With broadheads, you can have a "damage path" width/diameter of several inches, through which there will be 2, 3 or 4 sliced paths radiating from a central point. The energy transfer and corresponding energy damage to the tissue is negligible....it's the cutting that does the killing. Often the arrow can pass through an animal with a fair bit of residual energy. It's not "more capable", but rather differently capable due to the different method of action.
Bullets, on the other hand, create their damage by the bulk transfer of their kinetic energy to the target while penetrating the tissue. It's why we want round balls to flatten or saboted HP rounds to mushroom...it helps increase the area and improve the energy transfer. The damage path diameter from the penetration of the bullet itself is relatively small...usually much, much smaller than a broadhead...but the damage from the energy it imparts is absolutely massive in comparison.
Regardless of the method, though, you still need to put the projectile on target to where you can reasonable expect a lethal outcome for its method of action.
I'll go back again to knowing your tool and it's limitations....any "average joe" flinging arrows at a game animal at 100 yards is an irresponsible idiot. It's simply outside the effective range of the average archer to have a reasonable liklihood of putting the arrow where it needs to go to be lethal. It may still have sufficient energy for the broadheads to be effective (depending on draw weight, draw length, weight of the arrow, etc.), but too many other factors come into play for it to be a shot with a realistic expectation to put meat in the freezer.
Similarly, I personally would tend towards a correspondingly closer range shot on bigger game as my caliber goes down as I'd want to maximize the available energy to effectively take down the animal. For a fixed range, say 100 yards, with someone who is capable of placing the shot where it needs to go, the difference between a .50 cal and .54 cal may be statistically / experimentally significant but *effectively* insignificant as it is still within the performance envelope.
I don't think we're on different pages...
the .54 could statistically be significant in outcome because it might give more people confidence.
Confidence goes a long way, And if you're convinced that a 54 caliber is somehow going to make you more proficient within a certain range, That can absolutely affect outcomes based on how the data is collected.
That would be hard to measure though.
You would have to try to gather data of elk by the same shooter, putting balls where they need to be, on multiple Elks in the same general area between the 2 calibers to get a real base point of capability.
There's a lot of hunters on forums who've used both that don't notice a different, I'm likely to bet that a lot of these personal claims, is seat of your pants of dyno stuff.
In other words, anyone that tinkers with cars, who puts a cold air intake on the car and the marketing says it's gonna give you up to 20 or 30 horsepower, and then they drive around and they're convinced that they can actually feel significant differences... and yet you put it on the Dyno and the gains are marginal at best and would likely not be noticeable at all.
just to clarify,
bullets do not depend solely on kinetic energy to deal out damage to tissue, i.e the impact.
Is tissue damaged by impact and energy?
To some extent, but bullets primarily rely on crush tissue damage in its wound channel path, no different than an arrow severing blood vessels in its path.
the only difference is that a bullet is crushing tissue as it travels in the channel path.
Take for example an 855 green tip 556 round.
You'll often hear guys that were overseas complain how the bullets would zip right through their Target, still hitting it with full Energy but not doing a ton of Damage.
That's because those are penetrator rounds, and they're not really meant for anti personal use, like the 55 grain softcore 556 round, swap that out with a 55 grain softcore, and you have a much significant effect on target, because it begins to fragment and mushroom travel through the body creating a much bigger wound channel.
That's one downside of steel core penetrator rounds used by the enemy, 762x39 with a steel core, a lot of times zip right through in and out and the wound channels are not terribly significant.
That's the entire concept for using jacket at hollow points in a pistol, because ball rounds create small channels compared to a jacket hollow point opening up and creating a big wound channel in its path, severing blood vessels by crushing as it moves.
It's not relying on it's kinetic energy to destroy the tissue, it's relying on enough energy to reach the vitals and destroy as much blood vessels and important tissue in its wound channel as it travels, no different than an arrow needing to go deep enough to get to vitals, cutting blood vessels and tissue in its path.
A mushroomed or opened up bullet expanding, and traveling through, definitely creates more destruction than a Broadhead that doesn't expand.
Different mechanisms of severing blood vessels, same concept.
The point between comparison, is that regardless of an arrow slipping in and cutting, it has far less foot-pounds of power to enter into the vital area, there is no way it outperforms a 50 Cal round ball placed on a vital shot, and yet nobody sits there and questions the capability of a Broadhead on a hunt, and tells people they need to step it in to something much bigger or else it would be unethical or impractical.
Look a Heart hit with a 50 ball, vs an arrow, the Heart hit by the ball is hamburger.
But here's a real reason why I got on this topic.
I'm seeing guys out here acting like anything under a 54 caliber for an elk is completely out of the question, which is just ridiculous when you really get into the science behind it, a 50 caliber ball is not going have any problem even at the end of its range envelope of practicality at a 100 yd, reaching the vitals within an elk and doing significant damage.
That's really the crux of it right there, both calibers are pretty much limited to the same range envelope, and both calibers will absolutely effectively cause enough damage in the vitals to put the animal down, so everyone sitting here acting like you have to hunt elk with a 54 caliber or higher, that's just not reality.
I'm not saying you're making that claim, but that is why I got into the weeds of this, because I see this all the time when it comes to ballistic claims, and I'm actually involved in ballistic studies and testing, so it's something that kind of drives me nuts a little bit
Don't even get me started on 9 mm verse 45ACP, totally different animal, because you're dealing with a human threat that may be trying to kill you as quickly as possible with a firearm, and in that particular scenario, larger bore in a pistol caliber is absolutely significant when comparing differences in its ability to put the Lights out quickly, Given it's not an central nervous hit.