Ultraviolet Catastrophe (in magic) #dnd #dndscience #theoryofmagic

Hinzugefügt: 2026-06-02

[00:00:00]Okay, guys, I'm really going to need you all to pretend like I'm being very sane here, okay? I've just found a really, really interesting result from my theory of magic that I really want to explain to you. In the classical view of the theory of magic, this will be the equation that gives us the total potential energy stored in the magic field. So, as I think we all know from the required reading that I got you all to do, this gives us a result of this, which is really bad. This value goes to zero, and since it's on the denominator twice in both of these expressions, this value here will go to infinity, which means infinite energy for spells. So, so we had someone in the community come up with a really clever idea for trying to solve this. And that is to re-normalize the spell by this factor B of T, which only changes with respect to time, so we can pull it out of this integral, and we get this new value here. But how does this solve it? Well, let's say that B of T squared is equal to A squared times sigma X cubed all to the power of T. I forgot about the squaring, so we've added that in, don't worry about it, I'm fine. Having this new term here then means we'll be able to cancel out this sigma X all to the power of three, and then we'll end up with the sigma X to the power of two over here. Well done and all following along, I know you're doing absolutely fantastic. So now, we just need to figure out what this constant A squared is. But let's say that the potential energy of our spell as the time goes to where it will hit the range, so the spell should vanish, is going to be equal to some constant C.

[00:01:14]So this here is the amount of potential energy the spell has when it [music] gets to the range. My rough working of this then shows that we'll get a value of A squared is equal to this fraction here multiplied by this constant C, and then the spread in the damage direction.

[00:01:28]And this equation here gives us a lot of really interesting things. Beforehand, I just said C is a constant, and really what I mean by that is it could exist anywhere between like negative infinity and plus infinity. If we have it so C equals zero, A squared will then be zero, which means B squared will be zero, which means U will be equal to zero for all of time, which means no spell energy and no spell deformation, which means that spells aren't possible, which we know isn't true in the world of D&D. If instead we have C is less than zero, then A is going to be complex, which means U is complex, and we don't like complex energy here unless we're in, you know, some very weird bits of quantum mechanics. So, C must be greater than or equal to zero. And if we put all our equations in, this is what we finally get for the potential energy of our spell. But, here's the issue I have with this. This says that when the spell hits the range, it still has some amount of potential energy. And we would expect this to go somewhere. Maybe it can be explained by the fact that past the range, then the amount we need will need to go back up. And since that's not being provided, that's why the spell doesn't move any further. But, it basically means for this theory to be true, we require the spell to still have energy, to still be moving forwards, except that it stops existing at the range. So, I think this might serve as a really interesting contradiction of the original theory, showing that this classical approach can't work. I don't think people would expect me to be so excited for disproving something, but I find this great. If you have any other ideas, do let me know in the comments.

[00:02:54]But, otherwise, have a lovely day, and make sure to call me sane. Okay, thank you. Bye.