Fine $\alpha$ - insights

Stephen Adler - theories of fine structure

Science Is Quantum Theory Exact?
Quantum Theory: Exact or Approximate?

other

• not a consequence of the large range of logarithmic screening!

$exp(1/\alpha) \sim 10^{59}$ is much bigger factor than the ratio of Planck energy to the electron mass

https://physics.stackexchange.com/questions/9706/what-is-the-value-of-the-fine-structure-constant-at-planck-energy#:~:text=The%20fine%2Dstructure%20constant%20is,is%20511%2C000%20eV%20or%20so.

• calculations

https://www.science.org/content/article/method-solving-notorious-calculus-problems-speeds-particle-physics-computations