The phrase "a state of significant" is not complete and lacks context, but it is grammatically correct and can be used in written English when followed by a noun.
You can use it to describe a condition or situation that is notably important or impactful.
Example: "The country is currently in a state of significant economic turmoil."
Alternatives: "a condition of considerable" or "a situation of major".
The foundations of axiomatic set theory are in a state of significant change as a result of new discoveries.
Structures, their analytical tools, their manufacturing processes, and their functionality are all in a state of significant change.
Data from the insolvency firm Begbies Traynor showed that 21,061 UK manufacturers, many of which rely heavily on exporting, ended the first quarter of this year in a state of significant financial distress – 20% more than a year ago.
Therefore, in polar solution, the transition of the molecule to the excited state causes a state of significant non-equilibrium with the solvent.
This paper and a companion paper present a state-of-the-art review of significant research performed in the area of smart structures.
After conditions subsided Monday morning, Ralph Torres, acting governor for the Commonwealth of the Northern Mariana Islands, declared "a state of disaster and significant emergency" for Saipan, the largest island of the U.S. Commonwealth of the Northern Mariana Islands.
Under the terms of the law, the Austrian government will be able to declare a state of emergency in times of significant irregular migration.
Prior to Bob's arrival in New England, officials in Connecticut and Rhode Island declared a state of emergency in anticipation of significant damage.
Instead, calling on local and state governments to consider homelessness as a state of emergency, and allocating significant resources to build housing and provide services, is the most prudent response to homelessness.
In the United States, several counties in Louisiana, Alabama and Florida declared a state of emergency because of fear of significant damage from the storm.
(Indeed, they claim that such a state of affairs would arguably be a significant moral achievement a good for all concerned).
