https://www.quantamagazine.org/the-first-nuclear-clock-will-test-if-fundamental-constants-change-20240904/

It varied over time during the first 1 billion years after the Big Bang

It has or may continue to vary over time at times after the first 1 billion years after the Big Bang

At the current time it varies across space

 that the Fine Structure Constant may have varied in the past or varies across space. Will we find out that it does actually vary, and if so, how so?

For any option to resolve Yes, there must be accepted consensus in cosmological science / astrophysics that the Fine Structure Constant does actually vary over time or space. Wikipedia or a successor will be the primary source for resolving this market.

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