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Showing posts from January, 2025

New Album!

As I plan to move out from Chicago this summer, I am having a hard time putting efforts into my ongoing research projects. That is why I thought it is a good time to instead work on publishing the composition work I've done here. So yes, this is my first attempt at drawing an album cover, editing video clips, and so on. Plus my listening room is pretty dysfunctional as I am getting rid of my absorber blocks. I have to move out, after all. Despite all this, I hope the experience isn't too bad! I am releasing tracks one by one, hopefully a track every other week. Let's see how this turns out!

TRPG Dice Idea

 In Tabletop Role-Playing Games(TRPGs), probabilities are often represented in terms of dice, e.g. 2d10, 2d6, etc. If the resulting sum is greater than some other number determined by the 'difficulty' of the task or the 'stat' of the player character, then the check is a success. Well, in real life, probabilities are represented as a sum of probability amplitudes of Feynman Diagrams. What if we develop a similar system for TRPGs? Of course calculating the amplitudes is not easy, especially for people who are not physics majors. But we can still examine the typical form of $\Gamma$. The final probability $\Gamma$ must be unitless. Hence it has factors of mass ratios (e.g. $m_1 / m_2$) and often some power of $\pi$ in the denominator. Now, we can leave $\pi$, just for fun, and replace the mass ratios with stat ratios (e.g. $\text{STR} / \text{Difficulty}$). Now all of this is great, but now you need a computer to actually play the game, and perhaps not having phsical dice...