If you or your Fission duplicate manifest Time Hop right before the Fission ends, is your Fission permanent?

Question

Reading all "kill the fission duplicate, end the power, and revive the duplicate via revivify or psionic revivify" stuff online, it made me realize that Fission's rejoining effect at the end of the duration is an overt action by the power to merge the two of you back together, and the timing is one time only and can be dodged.

So if you dodge the timing by manifesting Time Hop, is your duplicate permanent? Dodge the timing by

1. Duplicate manifests Time Hop
2. You dismiss Fission, ending it and forcing the rejoining effect to occur.
3. Duplicate time hop ends.

or, if the DM thinks the duplicate has an active "fission" effect too,

1. Manifest Time Hop yourself
2. Duplicate's Fission duration lapses.
3. You reappear.

When the duration expires or when you dismiss the power, you and your duplicate rejoin, no matter how far from each other you are.

If you hop forward in time, you don't exist. This is not a difference in distance right? Which means Fission has no ability to rejoin you because you or your duplicate is out of the power's reach.

On a side note,

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.

Does this part of the effect happen to you? to both of you? to none of you? Does Time Hop let you dodge this?

Answer 1

Approach 1

As a potential approach, let's look at how Time Hop works.

The subject of the power hops forward in time 1 round for every manifester level you have. In effect, the subject seems to disappear in a shimmer of silver energy, then reappear after the duration of this power expires. The subject reappears in exactly the same orientation and condition as before. From the subject’s point of view, no time has passed at all.

So if we read it strictly with in-game language, the Time Hop is actually an effect that is added to the target by this power. The target is in "time hopping" status until the duration expires or until the Will save is passed.

And such an effect would be ended immediately when Fussion's duration expires because:

All powers affecting a fissioned creature, either the original or the duplicate, end when the fission ends.

Conclusion

No matter which one is being Time Hopped, once the duration of Fission ends, it ends all powers affecting either of you, including the Time Hop. As a result, the Time Hopped creature returns and the rejoin process begins.

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Approach 2

Assuming Time Hopping makes you not exist currently.

Since you have Time Hopped yourself to the future, you do not exist when the power's duration ends. Hence, it triggers the following effect:

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.)

So your duplicate becomes permanent but loses one of its levels instantly, and one negative level remains there.

When you come back, your connection with your duplicate is considered broken (since the duration has expired) and you take one negative level just like your duplicate has been killed.

Since no rejoining occurs, the damage is not transferred.

And the following description is for explaining the effect of rejoining. Since that never happens, nothing here would be applied.

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.

Conclusion

After doing this, now you have you and another you with one level lower both existing on the table. If I am the DM, you will still be the "original you" and your duplicate will become an NPC that is out of your control (since the power's duration has ended and you have no link with it anymore).