Right, so let's get started here. Everyone take a moment, grab some popcorn, and take a breather, I have a feeling this is gonna be a long post full of science. And magic. And stuff.
Right, first let's tackle Dimensional Rips.
I usually don't think of a physical rip in the structure of a dimension when I hear that term, though Hik did use it in that sense when she ripped a hole in the Aralang Prison Dimension and proceeded to move it, connecting it to the core. Obviously that took a Level 6 user and was pretty much permanent until Fatet and Animas undid it. Actually, if memory serves, the prison dimension was destroyed or something and they just constructed a new wall for the Outerverse's missing portion.
A dimensional portal of some sorts is different. While it's impossible to metaphysically "rip" through dimensions in the sense of what Jump Drives do to space, IE taking a sort of shortcut through space by ripping through it's fabrics, it is possible to portal -- Cease existing in one point on the dimensional plane and simitaniously start existing at another. I assume this is what ID-Gates and the like do and for the sake of convenience I suppose this COULD be called a rip in dimensions but that would get kind of confusing.
AMPs could work this way as well, but a portal should not be confused with Hik's method of literally tearing a hole within the dimension. It should also be noted that between dimensions, there is a sort of empty space in which all the dimensions rotate the Dimensional Cores. This place is full of dangerous radiation. But if AMPs use a portal this is nothing to worry about.
Same for Deity class.
Layer one defense approved, looks like a fun challenge.
I do need more detail on how level two defense shields work.
Layer three approved, quite the brilliant design, but for curiosity's sake, what happens to the kinetic energy absorbed by these support beams?
RIFT network - Take into account what I said about rifts above. Other than that, approved.
AEGIS approved.
What is the range of the Specter Field? And how does it cause this displacement?
FOA - Woah wait. How much firing is required to destroy a planet?
Swarm approved.
Tyrant approved.
Rift Cannon... That's a tough one. The Cores absorb excess dimensional energy, but I don't think we've ever discussed rather or not they absorb dimensional radiation. Actually that's a very good question. Regardless dimensional radiation is deadly to pretty much anyone and can move through most shielding so this one is a no for me unless you can find a way to weaken it. Actually, wait... This and the Halaex backlash cannon both remind me of my Mini-Sea Blast. I'll approve these two given conditions similar to that one's conditions. It requires like 20 IC posts to activate and, in my case, destroys like the entire battlefield, my side included. Come up with some similarly drastic weakness and I'll approve.
Hellions approved.
BlackHeart approved, though I'm quite hesitant.
Verenus and Goliath approved.
Military Grade Armor approved.
LETUM approved, Demi approved.
AMI approved, but I'm assuming any object producing an AM field need only to come under contact of an AAM field and it'll be reversed.