Where I work at, we have a special database used to log any state of certain noteworthy user personal info. We also store declarations about future states.
We hesitated between a store-facts-then-aggregate model à la Datomic and a bitemporal model. A bitemporal model stores states with a validity period and instead of relying on a single punctual timestamp as with facts, makes use of two date fields to model an interval. Current states are encoded with a +Infinity until_timestamp. Updating a state, means closing the previous state's interval (setting its until_timestamp to Time.now) and opening a new interval (from: Time.now, until: +Infinity or the next future state's from_timestamp).
This is stil monotemporal. So far we can log/store data, pretty much the same way Datomic does.' and set states in the future. But in the event we store data about future states, that is also store dates in our temporal system we are tempted to model it with the same interval-based heuristics. Why would we do such a thing if we already can set events in the future thanks to the intervals ? Here is the thing : you can only keep one of these two info:
- the interval for which the state was the freshest state in the database
- the interval declared by the user about the future state

These two correspond to the temporal two axis of a bitemporal database. They are are most often named system and validity temporal axis. Axis is a bit vain I think as it's an expression that conveys the idea they all entertain the same homogenous relationships as in a space whereas it's in practice more like a subtle dependency graph. In the context of tax-related declarations ahead of time we store both the moment the declaration has been stated (and subsequent amendments that may be made to it) as well as the year for which it applies. For this to work the validity axis heuristics must be built on top of that of the system axis. You have to put one close-previous-interval-open-next-one semantic over another one. You could even build a n-tower of such edit mechanisms in a n-temporal database. But in practice you most likely won't need to go linear like that. Suppose that you also want to confirm all those special facts your customer tell about themselves and you want to log it the same way. Unless you do not need to validate present declarations about future states you won't need to make this confirmation axis stand on top the validity axis that himself stands on top of the system axis (a 3 temporal-system).

What's fun is that with the benefit of a system-axis you can schedule data-maintenance in the future. It's also very fast on a relational database engine.

But it messes up with your relationships cardinalities. You will need two ids on your table. One for the state, and one for the item it models. 1_to_1 becomes 1_to_n when the right-end is temporalized. This gets really hairy if you want to temporalize relationships.

Edit:
The author writes:
>event time: the time at which stuff happened.
>recording time: the time at which you're system learns that stuff happened.
>(Disclaimer: this terminology is totally made up by me as I'm writing this.)

In short I do not think such a terminology exists, there is no definite terminology but only metatimes over metatimes and as many field-driven reasons to bring them up, and why not store them all in a badass npm-style time-axis dependency oriented byzantine database.