How can time exhibit the same exponential order when the order is believed to be everywhere else?

This equation has exponential order.

One way to check the exponentiality assumption of this model is to plot the residual survival times against the standard exponential order statistic theta.

Solving quantum mechanical problems is generally of exponential order in the size of the system and for classical N-body it is of order N-squared.

The computational complexity of the software testing problem is of exponential order (, ) and every fuzzer takes shortcuts to find something interesting in a timeframe that a human cares about.

Giovanni Andreatta, Gordon M. Kaufman (1990), Software Reliability Modeling and Exponential Order Statistics, Sloan School of Management, Massachusetts Institute of Technology, 45 p.