As per your quote, Fission has the built-in side effect an auto-Raise, by keeping one of you alive even if the other dies. Since in this case it is your duplicate, they will be you with one lost level and one negative level.
However...
The full quote paragraph of your quote is this:
If your duplicate dies before the duration expires, no rejoining occurs, and you gain one negative level. If you die, your duplicate remains in existence, and is for all intents you, but with two negative levels. (Once the duration expires, one of the negative levels immediately converts to one lost level; the other negative level can be removed by standard means.)
Note my emphasis; if your duplicate dies, there is explicitly no rejoining. However, that phrase does not exist in the part you cited. This could easily be read to mean that your (dead) self rejoins with your (duplicate) self:
When the duration expires or when you dismiss the power, you and your duplicate rejoin, no matter how far from each other you are. You gain back any power points the duplicate has not spent. At the time of rejoining, you take half of the damage your duplicate has taken since this power was manifested. This damage could potentially leave you with negative hit points, but it can’t reduce your hit points to less than -9.
So, your order of events becomes:
- Manifest Fission
- Wait until the last round
- Kill yourself
- (Dead) you rejoins (duplicate) you
- Nobody exists to revivify, and you just gained a negative level
Uno Reverse?
However, however...
If your duplicate dies before the duration expires, no rejoining occurs, and you gain one negative level.
- Manifest Fission
- Wait until the last round
- Kill your duplicate
- Revivify your duplicate
At this point, your duplicate will have two negative levels, as per the Fission power, but no lost levels, since that parenthesis (arguably) only applies to a surviving Fission duplicate.
Problems
The final paragraph of Fission reads:
All powers affecting a fissioned creature, either the original or the duplicate, end when the fission ends. All damage, including hit point damage, ability damage, ability drain, and ability burn damage, is added together.
Note that this, unlike the paragraph on rejoining, does not seem to care whether any rejoining happens or either of you being dead, so killing your duplicate by any of the listed means will potentially leave you in a poor position to use Revivify.
More problems
You can have only one fissioned duplicate in existence at one time; your duplicate cannot use this power. You cannot use fusion or metaconcert with a duplicate, or share any other power or effect that pools abilities (the sum of you and you is still just you). Similarly, attempting to use powers such as claws of the vampire or vampiric blade to hurt your duplicate only damages your duplicate; these powers do not heal you. Empathic transfer and similar powers are likewise ineffective (transferring wounds to yourself isn’t a good healing strategy).
There are some limitations in place. Noticeably, you cannot repeat the process again until your duplicate dies. Which could, potentially, be solved with more Revivifys. The Fission power is out of play, generally, and your duplicate is not as potentially useful as another full Psion, due to the limitations.
And then a DM came along...
So far, we've been reading the RAW thinking "how can we do this", not "how can we punish this make this interesting".
Psionic Revivify reads:
Psionic revivify lets a manifester reconnect a corpse’s psyche with its body, restoring life to a recently deceased creature.
Your dead Fission duplicate's psyche is your psyche. If you reconnect your own psyche with your dead Fission duplicate's corpse, what happens to that psyche's connection to your own body?
- Your psyche could connect to both, leaving you with two bodies (win!)
- Your psyche could connect to the corpse and leave your original body, leaving you with two rather than one negative level and an original body without a psyche
- Your psyche could refuse to leave your original body, making Revivify fail
- 2 or 3, but some other existence uses the opportunity to connect to the psyche-less (soulless?) body, perhaps unknown to you
There may be other options, but I know which one I'd go with as DM. Hope your two negative levels don't get in the way of stopping your original body from getting up to weird things.