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Can you give me a count of the wires in the wall switch box, and their colors? Or even better, would you be able to post a photo of the inside of that box, with all wires shown?
There should be a tool bar on your screen, with a paper clip icon. If you can save the pic to your computer, you can click the paper clip to browse to where it's stored on your computer and upload it to this chat.
Clicking on the link now.
I have looked over the photo. Do you have any type of electrical tester?
Just to make sure I understand, you connected a single socket to the ceiling wires in question, and that bulb worked? But the track light won't work when connected to the same ceiling wires?
Thank you for the additional information. Have you tried to light the new nonworking track light with a different power source, just to make sure it is functional? I would agree with you that it's very unlikely the original track and a new track both have a problem within the fixtures themselves. How many white wires are in the group at the back of the switch box? It's difficult to tell by looking at the photo.
How many wires are in the nonworking ceiling box, total? What are their colors?
That's good, because it's simple. Have you checked every splice and connection in the wall switch box? I believe the problem is going to be in that box.
Most likely, a loose connection in that box has two or more wires that are close enough together to allow the single bulb to light, because the electrical load is so small for one bulb. However, the heavier the load (more bulbs), the less likely the current can jump the gap between two wires.