For ex, combine Planck's constant, Newton's constant, and the speed of light to find the energy at which you'd see quantum gravity effects https://twitter.com/adept2u/status/851115353514008576 …
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Replying to @JannaLevin
Without a theory of QG, no one knows at what scales such effects might be detectable. Dimensional analysis is only a crude heuristic.
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Replying to @MathPrinceps @JannaLevin
In particular, dimensional analysis assumes that all dimensional constants germane to a given problem are known -- a dubious assumption here
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Replying to @MathPrinceps @JannaLevin
It is also crucial to note that h-bar, G, and c, though fundamental within existing theory, may not (all) remain so in a theory of QG.
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Replying to @MathPrinceps @JannaLevin
E.g., one or more of these constants may acquire a status like that of Boltzmann -- in which case, the Planck units may be quite misleading.
2:14 AM - 10 Apr 2017
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