By this I mean the National Convention, the Constitution of the Year I, and no Thermidorian Reaction.
If the war continues to be as desperate as it was before the Battle of Fleurus.
But that can't continue forever. At some point either France gets some breathing room, or France is defeated and the allies overthrow the Jacobin regime.
Wouldn't the obvious thing be an orderly winding down of the Terror? Don't take down the Dantonists, and execute Billaud-Varenne, Collot d'Herbois, Vadier, and Amar at the same time you take out Hébert. Then announce a gradual restoration of civil liberties and an end to Terror - the Terror has achieved its aims, and now we can put the new Constitution into effect. The Plain no longer has to fear for its life, and Robespierre's enemies on the left on the Committees are gone as well. So maybe a modus vivendi is possible.
That could be it,but it depends on the pod.But could you call such a regime a 'Jacobin' Republic?
If the Constitution of 1793 actually goes into effect, I think you could. Certainly that was the primary political program of the Jacobins during the Directory - they called for bring back the democratic constitution, not resumption of the Terror.
Can you plausibly actually get that to happen, though?
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The terror is not what defines the Jacobins. It's their adherence to democratic and republican values that defines them. They cannot be compared to regimes such as the Khmer Rouge.
To end the Terror, you need to end the Revolutionary Wars. The fear of counter-revolution was the things that were causing all of the purges. France would have initially been a dictatorship, but then it would have transitioned into a stable British-style democracy (post Reform Act) by 1850, much earlier than IOTL.