Does modelling any physical process require mathematical hyperoperations above exponentiation?

I personally don't know of any physical process that can't be modeled without need for tetration or higher order hyperoperations. In my own experience, exponentiation suffices. Does anyone else know about a physical process that can't be well-modeled unless tetration is used in the math?

Dr. Zorro2020-07-12T15:54:39Z

P = sigma T^4...