Well, if you really want to carry on with the math, eventually, you'd end up in the realms of probability manipulation too. If classical (newtonian) mechanics can be affected by the caster on the macro scale (our scale) then he can probably manipulate them at the micro scale (1000th of inches) or even nano scale.
This would lead to the equivalent of being able to directly affect the mechanics of each molecules in the room (remember, calculus can be all about motion), which is really a way of saying that your caster can affect statistical mechanics, or probability (this would curdle a physicist's blood, but you get the idea).
He could then force all the air in a room to reside within a single cubic inch of space
(remember, each particle is a distinct newtonian body obeying newton's laws of motion, and whose path can be interpreted using calculus, and with statistical method, one can derive the behaviour of X numbers of particles, treated as a whole)
Or heat it up to spontaneous combustion. God almighty! he could even heat it to fusion point if he controlled the energy distribution of air particles. (see boltzman distribution) in fact the math for this is pretty simple and can be done in your head today, with a good high school level. (no calculus needed even)
Effectively, the logical implications are enormous, since it is statistical mechanics which gives 'time' a unique direction (let's not dwelve too long on the last 50 years of RL how they come into it) so effectively your mage would be capable of reversing time's unidirectional arrow. ie: the broken vase could be made whole again, or you could make one half of an open room cold and the other one hot by controlling the motion of particles through variable changes in calculus math. (see maxwell's demon to see what i mean conceptually)
newton's work is so fundamental, and so truly universal that the mage's power would become *limitless* if used with any insight. And that's without even talking about his work on gravity and celestial motion nor his deductions on inertia.
This is it, i think, what separates real science from the fantasy type magic. if you start messing with the fundamental natural laws discovered so far, we enter universes so alien to our own that our minds stop being able to comprehend them. (indeed, it is quite hard to comprehend the universe into which we evolved, let alone one where the rules of the game are utterly diferrent) It is not simply a matter of being a powerful form of magic, but being the very fabric of reality which you are wielding. One arithmetic mistake and poooof!!!, the standard nuclear mass for hydrogen is tenfold too big, and most of the matter in the universe collapses to a singularity. Oooops.
(I make similar mistakes daily.)
In magic, vague restrictive concept can be used: "that takes too much life-force to cast" or "not enough mana" or even "the gods wont allow it" but there is no such security valve for math/physics. you can change one rule, nay, one variable, and you become God.
Changing the laws of physics (calculus inc) is not an option. one must comply, it is why they are called laws. Our math changes to reflect the world. ( and so our mage uses natural laws) but if the world changes to reflect our math, as you seem to suggest, that is a totally different ballgame.
(Oh. PS: I know this comment is about two years late ignore at will) Go to Comment
What about if instead of the opposite happenning in a random, indeterminate way, the mage decided where and how the opposite occured, so that a pyromancer mage would in effect select an area to heat up, and an area to cool down by an equal amount.
PLAYER: i throw a fireball at the critter, taking the energy from the room
DM: suddenly, as a great ball of flame leaves your hand, the air in the room becomes intensely cold, freezing your breath as it leaves your lungs
and hence, not only does magic follow newtonioan physics, but it also follows the laws of thermodynamics. the mage can then be considered a very efficient heat engine that does work, the work being the magical effects!
this also serve as a built in game balance! who is going to get a big enough heat reservoir to cast an epic level fireball? Go to Comment
The post itself could have gotten a 4 had it not been that I really do not like the Dul'Gholam function. It seems too silly, even for a fantasy setting. Too bad really because, like all your work, this one is well written and interesting. The beginning is very promising and I WILL definitely use some kind of eroding Golem Moss in my setting. It is highly unlikely that it will create any Dul'Gholam though :)
You get a .5 bonus for the wonderful idea at the bottom of all this. Go to Comment
Actually, something of note to the ending: flesh actually has less energy than plants. Life within an ecosystem tends to not get beyond the fourth or fifth tier if I remember right, simply because there isn't enough energy within the last tier to support another. 3.5/5 - Good, but has some flaws. Go to Comment
I generally find lifeforms that count on magic creatures like golems or the like common enough that things evolve to prey on them rather unlikely. A better explanation is this a weapon built to destroy such creatures, which opens up the Who and the why questions.
So accepting this is a magic weapon to destroy golems, having a side effect of conversion into monsters is somewhat more plausible, but simply leaving a patch of green where once stood a golem, or a half-consumed golem lashing out blindly are less odd to me :)
This creature has admusement value, good points, bad points, and is not just another monster to eat the adventurers (or in someway traumatize the PCs).
These things should not explode at the hint of heat and sun, otherwise they will be too admusing at bars. Of course the whole methane thing, if the camp was in a hollow or low dish, then it all goes boom. Go to Comment
This thought amuses me: in total darkness, light a match near a lux mite lantern (LML)and blow it out. The LMs will begin to glow (magnifying the light). They will stop glowing when the light from the extinguished match stops hitting them, but then will start glowing again the instant they get hit by the light emitted from neighboring lux mites hits them (because light is fast but not instant). This means, once a lux mite lantern is turned on, it will never go out, because travel time is so short the "flickering" will be much quicker than lightbulbs at 60 hertz, but because it is not instant, even just two of them would keep going forever.
If you don't like the science babble above, I suppose you could just line a mine shaft with these lanterns... As long as one sees sunlight (or moon/starlight) it relays it to the next, which relays light to the next... you don't even need mirrors, just put bugs at corners and you can bend light. Go to Comment