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by russianGuy83829 1418 days ago
I wonder why exponentials are so common in nature/physics but tetration is not
2 comments

Exponentials come up quite naturally from differential equations because it's often suprisingly useful to talk about something's rate of change in terms of itself. As far as I know there's no similar connection with tetration.
In other words: if it grows or decays by a rate that's proportional to the current amount, over time it'll follow an exponential curve.
The numbers get impossibly big almost immediately.