6
$\begingroup$

We see addition, multiplication and exponentiation in the natural formulae that make up physics.

However, do we ever see tetration (repeated exponentiation) or higher hyper-operators in nature?

(Not counting cases where the tetration step could be trivially eliminated.)

$\endgroup$
3
  • $\begingroup$ Tetration generally leads to extremely large numbers, which aren't very useful (except perhaps on the largest (or smallest) scales). $\endgroup$ May 6, 2013 at 14:29
  • 1
    $\begingroup$ This strikes me as such an arbitrary question. Blackbody radiation is proportional to $T^4$ which you could view as $T^{2^2}$ $\endgroup$ May 7, 2013 at 6:28
  • $\begingroup$ @BrandonEnright - Edited Q to exclude trivial cases of tetration. Thanks. $\endgroup$
    – billpg
    May 7, 2013 at 13:10

1 Answer 1

1
$\begingroup$

The "simple" functions you mentioned are often the result of solving "simple" (differential) equation. Repeated exponentiation is a very uncommen solution, however I do know of repeated exponentiation in formulae, often to scale dimensionless parameters.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.