Floaters I have occasionally. They look like pieces of cotton held in the field of view, but are strongly out of focus, and with a knot in some places, like a piece of frog spawn. Also, they are very very faint. So much so that I don't notice them unless I'm sat quiet gazing at the sky or clouds, and even then it isn't certain whether I'll see them. It feels like months since I last noticed them.
I've had that since I was little and I generally believed it was caused by glancing at the sun and it creates a scar line across the retina that never properly heals, which is perceived like this. The "knots" representing the points where the eye muscle jerked to a temporary stop, causing a harder burn point along this line (Or something like that) I had a feeling this is what caused them, because I first noticed them around the same time I first glanced at the sun.
Medical persons say there is stuff floating in people's eyes (the fluid isn't pure), but they're not sure if this is what floaters are, or whether floaters are something else entirely, the phenomenon hasn't been properly investigated it seems.
It's not a sensory phenomenon like tinnatus or syneasthesia, which are neurological. Floaters are something real within our eyes, but we're not sure exactly what.
Interestingly, the article quoted above by backstept suggests that many forms of mild damage to the eye causing material to deposit into the vitreous fluid leads to formation of floaters. Perhaps your retinal burn incident might have triggered some of that.
