Is Moshiach Going to last forever?
When Moshiach comes are we going to have it for eternity?
If there are different opinions the please state them all.
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Everyone agrees that Olam Haba is the ultimate reward and will last forever. There is a difference of opinion what olam haba is.
The Rambam says it's Gan Eden, which is spiritual. Moshiach will be temporary, and afterwards the physical world will cease and we'll have Gan Eden.
The Ramban says that olam haba is Moshiach, and it will last forever in this physical world.
Kabbalah (and Chassidus) follows the opinion of the Ramban.
Source: Derech Mitzvosecha, Tzitzis
According to the Rambam, Moshiach will not last forever.
I am not sure if you mean the individual or the time period, but both are temporary.
In intro to Chelek, the Rambam writes that the King Moshiach will live a long life, and he will die and be succeeded by his progeny. The age of tranquility that Moshiach will usher in will last longer than Moshiach himself, but even that will end and eventually the souls will all enter a purely spiritual realm and leave behind this world, which the age of Moshiach is a part of.
According to the Ramchal, the Mashiach won't last forever. The Mashiach will come sometime before the year 6000. The purpose of the moshiach is to get Am Yisrael back into the proper form (e.g. dwelling in Eretz Yisrael, according to their tribes and ancestral heritage, able to study torah free of interference from the nations).
Then, in the year 6000, the world will be destroyed, and sit fallow for 1000 years. After that the world will be rebuilt in another form that we can't even fathom, which will begin a period called Olam Haba, where we receive the true reward for the mitzvot we did in Olam Hazeh. Olam Haba lasts forever.
Note well: according to the Ramchal, Olam Haba is a different stage in the cycle of the world, which comes after the time of the Mashiach.
(To see this for yourself, read Ma'amar HaIkarim, and Derech Hashem.)