I got the first idea from watching a Futurama episode, but changed it to be more serious. Then I went ahead and created a full reasearch level.

Research name: Tesseract Control (Defensive Systems)
Module: Flux Spacial Drive
Discription: The study of forces and their control over dimentional space to micro-warp ship movement.

Research name: Non-Dimentional Concealment (Stealth Systems)
Module: Nonspace Emitter
Building: Flux Containment Field
Discription: The study of folding space to hide a ship in between dimentional layers.

Research name: Spacial Destruction (Advanced Weapons)
Module: Warp Shredder
Building: Shredder Mines
Discription: The study of inducing cuts in the fabric of space-time for destructive attacks.

Research name: Spacial Creation (Advanced Power Systems)
Module: Existence Generator
Discription: The study of inducing quasi-real physics to create energy from nothing.
or
Module: Existence Relay
Discription: The study of inducing quasi-real physics to relay energy in nul-time.

Research name: Inertial Control (Shield Systems)
Module: Inertial Field Emitter
Building: Planetary Inertial System
Discription: The study of altering conventional physics to immobilize incoming attacks.

Research name: Null-Physics (Advanced Armor)
Module: Physics Armor
Discription: The study of maintaining stable anti-physics accross the surface of a ships hull.

Research name: Theory Detection (Advanced Sensors)
Module: Theory Scanner
Discription: The study of theoretical physics to detect micro-disturbances in space-time left by force, mass, and energy.

Research name: Dimentional Engineering (Planetary Construction)
Buildings: Existenal Mine, Existenal Probe, Existenal Conscience
Discription: The study of interconecting parallel dimentions to gather resources from the equivelant parallel planet.
or
Building: Extra-Dimentional Habitation
Discription: The study of interconecting parallel dimentions to create habitation that is bigger on the inside than on the outside.

How bout Null Armor and instead
Membrane Detection(Advanced Sensors)
Module: Membrane Scanner
Discription: The study of detecting nano-disturbances inbetween membrane universes

great changes.

Yes, very fun ideas. Note that *some* of what you propose is actually already in the game on the very high research tier levels, under a different name