So I'm going to be buying a couple seeds soon and I was wondering if anyone knows if I can grow some of them in a Deep Water Culture hydroponic/aquaponic system. I feel that using hydroponics wood allow for easier root trimming/harvesting. Any thoughts on if this would work?

It might work if you allow time between waterings to dry out a little so it's not constantly submerged.
Environment would also need to be controlled.
Additional things like humic acid may be needed along with basic N P K.
pH of the water would need to be on the acidic side.

Try growing one hydro and one soil. Although this is not the best experiment because seeds will differentiate in vigor, it's still a noble experiment! Let us know how it goes.

I was thinking of growing a few plants in soil and then taking clones. That way there is less variation. Maybe I'll use an ebb & flow system instead.

The fish(or synthetic fertilizer) will provide everything a plant needs to grow. Why add humic acid? Douse it contribute to the production of DMT?

I have been growing mimosa for around 18 months in soil, the seeds are easy to germinate and grow quickly if the soil is kept moist during seedling stage, the first plant, is becoming quite large, i tried to clone a few cuttings and was unsuccessful, i gathered that it would be much easier to start with seed to avoid any further damaging to the plants, right now i have 20 mimosa, 10 confusa, 6 acuminator and 3 types of viridis, cloning viridis is very simple, the leaves can be used to sprout new clones...

so try to avoid attempting to clone mimosa, it is quite difficult unless you have the right setup and know how, best to get a stack of seeds to start with and harvest the seeds from the trees in the future to keep the ball rolling.

Cloning mimosa is indeed difficult. I found it can be done, but as atticus said, germination is very easy and growth from seed is fast enough. However, if you wanted to try, spring is a good time. Tender shoots will have more chances than woody shoots and auxins will help. But I'd go with seed.

There's no reason why you couldn't grow mimosa hydroponically. However, many leguminosae benefit a lot from soil microbes like rhizobium, and inert substrates cannot provide that.

Trying both ways would make a nice experiment.

As far as I know Mimosa will only grow from a root cutting, you treat a pencil diameter section of root with fugicide/hormones and then plant it just deep enough to cover it in your propagation mix and it will throw up suckers in a month or so.

I like that idea of hydroponic Mimosa, I see no reason why it wouldn't work. In a media based system that is adequately aerated rot should not be a problem. There are many commercially available inoculants available that are suitable for hydroponics or aeroponics.

I have a batch of baby Mimosas so I'll whack one into a passive hydro system today. I've been looking for a project and that's the one.

Aeroponic Mimosa would be perfect, the rootzone can be controlled for moisture levels to a very fine degree and the plants would grow at an astonishing rate (I'm assuming - based on observations of other plants grown aeroponically). Harvesting roots would be a breeze.