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The phrase is correct and can be used in written English.
You can use it to describe a situation in which something returns back to the same condition or form it was initially in. For example, "After the storm passes, the city returns to its initial state of calm."
Exact(7)
Since the engine returns to its initial state, its internal energy U does not change (ΔU = 0).
After actuation, the system automatically returns to its initial state as temperatures decrease, without the need for intervention by reactor operators.
(a) No tension applied, (b) a 150 Vrms tension applied (f = 1 kHz), (c) the tension is cut, the drop returns to its initial state.
If the primary unit is restored before the backup has failed, then the system's perspective no failure has occurred and the system returns to its initial state.
If the fluctuation grows in amplitude so that the flow never returns to its initial state, we say that the flow is unstable with respect to fluctuations of that type.
We also computed the frequency at which the substitution process returns to its initial state after n substitution events.
Similar(53)
To compare the results under different transient conditions, this study proposes two indicators, i.e., the influential time (IT, the time required for the HZ to return to its initial state once it starts to change) and the influential depth (ID, the maximum increment in the HZ depth).
The system has been returned to its initial state (no change in system state).
An elastic material is one that tends to return to its initial state after the removal of a deforming force.
After melting the whole crystals in the SGC and INU, the growth apparatus was returned to its initial state.
Once the actuation is removed, the structure remains in its buckled configuration for a period of time, before quickly returning to its initial state.
More suggestions(15)
returns to its natural state
returns to its pre-2012 pre-2012 state
returns to its initial configuration
returns to its initial location
returns to its native state
returns to its wild state
returns to its active state
returns to its solid state
returns to its initial direction
returns to its primeval state
returns to its intrinsic state
returns to its prepregnant state
returns to its normal state
returns to its former state
returns to its initial value
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com