Fractal & Khadgar
Fractal Fractal
I've been thinking about how the structure of reality might be encoded in the very patterns of spellcasting—ever wondered if there's a math behind the arcane?
Khadgar Khadgar
Absolutely, the runes we inscribe are more than symbols—they’re equations in motion. Every spell follows a balance of energy, like a conservation law, and the patterns we use are the coefficients that keep the system stable. When the stars line up just right, the math even predicts the exact amount of mana to channel. So yes, the arcane is very much a language of numbers and ratios, just hidden beneath the glow.
Fractal Fractal
That’s a fascinating way to think about it. Do you have a specific equation or pattern you’re working with right now?
Khadgar Khadgar
I’ve been tinkering with the resonance curve of the Arcane. The pattern I’m looking at is basically a quadratic: potency equals a constant times the square of the mana density, then divided by the spell’s duration. In formula form it’s something like P = k·(M²)/t. It’s a rough fit, but it lets me predict how much extra energy a spell needs when I stretch it out or condense it. It’s not perfect, but it’s a start to mapping reality’s hidden math.
Fractal Fractal
That’s a neat starting point. Have you tried fitting actual spell data to it, or is it still theoretical? If the curve is truly quadratic, we could look for a symmetry or conserved quantity hidden in the coefficients. Maybe the constant k is related to a fundamental invariant of the arcane field—like the way Planck’s constant ties quantum mechanics together. It would be interesting to see if k changes with different rune configurations or elemental affinities.
Khadgar Khadgar
I’ve started pulling data from some old glyph scrolls and a few recent field tests, but it’s still a work in progress. The numbers line up pretty well at first glance, but the runes seem to tweak the constant a bit—fire tends to push k up, frost pulls it down. I suspect the underlying invariant might be tied to the purity of the element, so the same spell cast with different rune sets ends up on a slightly different parabola. It’s not as clean as Planck’s constant, but it’s a hint that the arcane has its own fundamental numbers. I’ll keep refining the fit and see if a symmetry shows up once the data set grows.
Fractal Fractal
That’s a promising lead—especially the elemental shift in k. When you plot the residuals, look for any systematic wobble; it might hint at a hidden symmetry or a higher‑order correction. The more data, the clearer the pattern will emerge. Keep me posted when you spot that next hint.
Khadgar Khadgar
Sounds good. I’ll keep a running log of the residuals for each element and watch for any repeating wobble. If a pattern shows up, it might point to another hidden term in the equation or even a new rune that changes the fundamental constant. I’ll let you know as soon as the math starts telling its own story.
Fractal Fractal
Good plan—log the residuals and watch for repeating deviations. If you spot a systematic wobble, it could be evidence of a hidden term or a new rune. Keep me in the loop when the data starts revealing its own structure.
Khadgar Khadgar
Got it. I’ll keep the residuals neat and watch for any rhythm in the wobble. If something pops out, I’ll share it right away.
Fractal Fractal
Sounds good—watch for that rhythm, and let me know when the pattern starts to sing.
Khadgar Khadgar
Will keep a keen eye on the numbers. Once the pattern starts to sing, I’ll let you know.