I mean could we do as good with any fewer (or more) fundamental quantities, or is seven really a magical number when it comes to them?
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You could find this easily. There are many obvious hints: The luminosity definitions are completely disconnected from anything else. The definition of temperature is also completely not-needed because we should be measuring temperature with energy units, eliminating Boltzmann's constant $k_B$ in the process. – naturallyInconsistent Dec 13 '23 at 09:14
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As long as nobody points out a reference to PSE, this is an interesting question. – HolgerFiedler Dec 14 '23 at 04:03
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1Please be clear if you are referring to the seven base SI units. They are not commonly referred to as "fundamental quantities" in my part of the physics world. If referring to base units, then the question is related to: "Why are there seven SI base units?", "To what extent are quantities fundamental?", "Are the 7 base quantities in SI system really independent?" – David Bailey Dec 14 '23 at 06:42