Justice Considered as a Symplectic Manifold:

Alternating symmetry, no local invariants but everywhere orientable. And mercy?  Not lumpy but curly.

From The List That Cannot Be Named:

> But if the quality of mercy is not strained, how is it prevented   from being lumpy?

Weren’t we just discussing this?  Let justice be a mapping from  aggravations to retributions. Recall that Exodus tells us "an eye for an eye, a tooth for a 
tooth".  This suggests the mapping is structure-preserving.  (Q. does  Mos have coproducts?)
Legal systems generally recognize that injuries are asymmetric. This  suggests the mapping is alternating.  (Ex. verify the difficulty of  recovering damages from oneself)
The Battle Hymn of the Republic mentions the Groups of Wrath.  This  suggests we can come up with a basis for the mapping.  (Q. the Groups  of Wrath are often depicted as purple; are they in fact abelian?)
Under the exponential, we can then examine a range of justices, from  the Mikado’s (retribution-increasing) through the Mosaic (unital) and  the Nazaretic ("turn at least one other cheek") to the Epitectic  ("didn’t I tell you, if you kept that up, you were going to break my  leg?"), and we call the retribution-decreasing cone in this space  "mercy".  But due to the structure-preservation, all these justices  are scalar multiples of each other.  (Ex. check that mercy is well- defined)
Mercy is not lumpy, by definition.