The Tirterran blades were one-the sided bastard children of the Argoran Blade. A kind of single edge saber as opposed to the double edged Argorans, the Triterrans were an original attempt to recreate the long lost art of creating Argoran blades, but the Kah'Rul could not manage to grasp the concept of the design enough to recreate them entirely. The Triterran blades were then accepted as a substitute which could be mass produced. The Kah'Rul were given their own knife like versions in mass while Dasarin Loyalists were given their own blades, assigned as a "peace keeping corps".
While the Triterran blades cannot wield the effects of exotic matter, they do have the ability to heat the blade edge for additions to the types of damage is can cause, being made of alloy compounds which are specifically designed to handle such heat without compromising the integrity of the blade edge or structure.
Since the blades had been brought to Earth, The Specter Initiative was able to find ways to recreate the technology and alloys, providing melee weapons of similar make to the troops as the same kind of blades, or as axes and hatchets.
While the Term Triterran Blade typically refers to the Sword form, the "Triterran" technology can be embedded into most blade type melee weapons and so can be used as a slightly more universal term.