How could extra dimensions be tested?

I hear about lower and higher dimensions, but I wonder if any
scientist is currently trying to come up with a way to see if they
exist. Is anyone? If so, who and how? If not, what do scientists
speculate such a test might involve?

The above runs on the assumption that there are extra dimensions. As
far as I have heard and read, these other dimensions are speculated
about but none have been proven. Then again, have they been proven?

Scott

.

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