The glowing dots have collisions on them for you to jump on. The map is a jumping puzzle, so you can jump from one planet to the other. That's why flying is disabled.
Now the jumping puzzle is a bit tricky to do because you don't know where the collision starts or ends. That's what makes it more challenging.
And thank you so much for your wonderful comment! I might be making more maps of Fantality soon! Right after I get done making the Portal maps.