God damn, who to thought find a mathematical relationship of mass in accordance to a simple equation would be so fruitless?
You'd think the universe would contain a simple equation that associates mass to a system, there's got to be an axiom somewhere. Deep down the entire universe should be governed by a single or small set of rules, so simple that even a child could understand; otherwise, the absurdity of overcomplicated quantum laws implies either:
* It's random as fuck when the laws were formulated inside the singularity pre-big bang, and this universe is one example of what's possible. The next universe might be more or less logical next time; or... All possible universes exist simultaneously, but we're stuck to this one's laws, space and time.
* There is a discrepancy been caused by interference by another universe, or these anomalies are from extra-dimensional sources we can't comprehend; in other words, String Theory might be a possible solution.
I refuse to give up on this though...
My new approach tries to treat string length as a subtractive factor to exponential growth.
So:
2^4 = 16 - 15 = 1
2^8 = 256 - 49.231718 = 206.768282
2^12 = 4096 - 618.66401436961755357719845032073 = 3477.3359856303824464228015496793
What's fascinating with this approach is that:
49.231718 * (pi * 4) = 618.66401436961755357719845032073 and is within experimental uncertainty of the Tauon/Electron Ratio.
But like all my previous attempts, it's still not perfect and requires a second arbitrary constant to solve it.
I guess even if I get nowhere, this has been a great exercise in mathematics.