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The same I saw when I connected the display to my laptop. In my case, when I tried to turn on and off the monitor by pressing the power button in front, I saw it blinking for a second and switching from analog to HDMI (my monitor has both VGA and HDMI inputs). In order to eliminate a problem with Mac mini, I decided to connect the external monitor to my MacBook Pro. In the case of Mac mini black screen, the issue could be with one of three main components: Mac mini itself, external monitor, and HDMI or USB-C cable (depending on the kind of monitor plugged into your computer). At this phase, you want to eliminate all unrelated causes for the problem. The first phase of any repair is troubleshooting.
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