Singularity

"But HBM, a manifold with an undefined state of spacetime? How is this possible?"
Long answer short:
"I have no idea!"

A singularity (specifically, a gravitational or spacetime singularity) as described by general relativity, is a region in spacetime where gravity and density are so high, the laws of physics "break down" and is not fully understood, it is a single point in space. As stated, the laws of normal spacetime break down here. Don't drop them.

Creation and Variants

Singularities are fairly expensive and are upgrade based, starting with the base singularity, simply called "singularity".

Anticlimactically, they are all created in the basic crafting table:

Base Singularity

Superheated Resonating Singularity

Continuously heats up matter by resonating every planck second. Tends to catch fire or create small plasma arcs.

(Note: Does not actually set fire to anything or create plasma arcs.)

Contained Counter-Resonant Singularity

Nullifies the resonance of objects in non-euclidean space, creates variable gravity well. Spontaneously spawns tesseracts. If a tesseract happens to appear near you, do not look directly at it.

(Note: Neither "nullifies the resonance of objects in non-euclidean space", creates any noticeable gravity, nor spawns any tesseracts that can't looked at directly.)

Miniature Black Hole

Contains regular singularity in the center. Large enough to stay stable. It's not the end of the world as we know it, and I don't feel fine.

Singularity Screwdriver

Say what?

(Note: The powders are both of the possible nitanium routes.)

Spark Singularity

Dangers

Singularities, with the exception of the singularity screwdriver (possibly because it is contained better), will break containment and turn into a black hole if dropped.

A list of their estimated strength level and duration:


Singularity Type	Strength	Duration (Seconds)	Notes
Base	Weak	30
Superheated Resonating	Strong	50
Contained Counter-Resonant	Strong	50
Miniature Black Hole	Strong	N/A	Infinite duration
Screwdriver	N/A	N/A	Harmless if dropped
Spark	Very Strong	160

Uses

Most are used in expensive late-game items and all but the spark singularity can be used as a core for the Fusionary Watz Plant, with the singularity screwdriver being the most efficient core. The singularity screwdriver can also only be used as a core for the fusionary watz.

Trivia

Despite all of them forming small black holes when losing containment, the miniature black hole is the only one stated to be, naturally, in a black hole state.
The spark singularity is the only one without a comment in its tooltip.