I have started to come up with the rules for magic in a world I’m building and it’s fascinating how much math makes the process easier. Like I’m focusing on specifically magic that 5e would call evocation magic. With the exception of things like poison and acid because they feel like transmutation and I don’t really want to deal with that right now.
My first thought was “how do you describe a fireball?” And the answer is surprisingly simple: We use the mathematical of the explosion. I can already calculate Power of sound and pressure formula why can’t I do that with a fire ball?
This triggered the insight about verbal and somatic components. Both could cause a change in pressure or a pressure wave to form and if pressure has some sort of influence on what I’ll call the magic field(M) then we can use that to cast spells.
Different pressure waves have different properties and a lot of the time the don’t tend to trigger anything because things cancel out or are so negligible that it doesn’t matter in the context of casting magic. This doesn’t mean you can’t shock or hurt someone, but it does mean that the voice and even a lot of movement can’t do harm.
I was specifically trying to answer how/why verbal components work and my answer was simply that the pressure field(P) is in some way related to M. I think that specificly the change in the pressure field is proportional in some way to the magic one.
There is much to say about this because I think that M has at least two components that correspond with electrodynamics and kinetics(this probably included a thermodynamics component.). These these components interact with there respective force fields E and G respectively where E is a field of Force per unit charge and G is a field of Force per Mass).
I think I need to to do more research on Thermodynamics before I say more on how this works with heat, though I should note that fireball was the driving example for this thought experiment.