[?] Meaning of a strange curve on surface - 3DPlot ?

Questions
1

Hello everyone. What is the meaning of the following zig-zag curve on the surface?

0.png
0.png921×444 36.2 KB

Plot3D[(t/(2 e)) (HeavisideTheta[t + e] - 
    HeavisideTheta[t - e]), {t, -3, 3}, {e, -2, 2}, 
 AxesLabel -> {t, e}]

Thank you very much.

2

It is probably amplified background numerical noise due to machine-number precision. The z values are or the order of 10^-16. Compare:

Plot3D[(t/(2 e)) (HeavisideTheta[t + e] - 
    HeavisideTheta[t - e]), {t, -3, 3}, {e, -2, 2}, 
 AxesLabel -> {t, e}, PlotRange -> All]

The automatic value for PlotRange comes out abnormally small in this case.

3

I asked myself the same question by seeing your post, thank you for these details.