The only property that space and time have is "magnitude invariance".Space and time have the same properties by definition.
MWells wrote:
Space and Counterspace are reference systems, based on different assumptions (for example, space has a plane at infinity; counterspace has a point at infinity). Hence, they have different invariants and properties. They are not the "same thing", but subclasses of the reference system class.Counterspace and space are the same thing.
MWells wrote:
Analogous, not equivalent, since each is a function of measure within different reference systems.Therefore a linear translation and angular rotation ("turn") must be equivalent.
MWells wrote:
Within their specific set of assumptions created by the relevant reference system.This means that *both* linear translation and turn are primary.
MWells wrote:
Yes. Space and counterspace are also at the same ontological level, but just being on the same level does not make them identical.That is, these two geometrical constructs are at the exact same ontological level.
MWells wrote:
...within the reference system of "space."There is no condition that allows a linear translation to not be primary.
"Linear" is only one aspect of translation; "angular" is another. Given the assumptions of the RS, there is no condition that allows a translation (linear, angular or other) to not be primary, but those are dependent upon the reference system used by the observer.