Nature of Energy

[Panatheist]

If time stops to be a continuous thing when looking closely enough because it becomes fuzzy or discrete at short enough time intervals, it will become difficult to even find a fundamental definition of what Energy is, and the concept of Energy might just be describing an emergent property of physical systems (like air pressure or temperature) that is not really a fundamental property of stuff but instead something that only appears when looking at large averages of particles or, in this case, many Planck time intervals or what have you.

Are there any examples of when time intervals may become that short besides perhaps very near the initial event of the Big Bang?