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. . .
Start with E=h_bar*ni. If E is in GeV then the unit of frequency,
ni, is GeV because h_bar=1 is dimentionless. Same for c=1.
. . .
time (1/ni) ---> GeV^(-1)
. . .
You can continue by yourself. Observe that each line above could be
clarified by a sentence or a paragraph. For example, for TIME one could
say: "one GeV^(-1) is a time interval between two maxima of E(t) for
an e.m. wave at a fixed vacuum location.