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This question already has an answer here:

I haerd that we cannot add two different types quantities.

Is there no law which includes an addition of different types quantities?

In the future, maybe we find a law like this $$F = \frac{\alpha}{r+m_1 m_2}.$$

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marked as duplicate by ZeroTheHero, Alfred Centauri, John Rennie, Kyle Kanos, Jon Custer Feb 1 at 13:58

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    $\begingroup$ I don't think it's a law, but it's simply not consistent. Can you tell me what is the result of adding 3kg to 3cm³? $\endgroup$ – ErickShock Feb 1 at 3:05
  • $\begingroup$ You may also be interested in physics.stackexchange.com/q/98241/25301 $\endgroup$ – Kyle Kanos Feb 1 at 11:16
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There is no law in which different type quantities are added, and we're not going to find any such law in the future. It simply makes no sense to add two quantities with different physical dimensions, such as "1 meter plus 1 second".

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  • $\begingroup$ While it does not make any sense, the real question is why it does not make sense. What makes physics a strongly typed theory? $\endgroup$ – Anders Sandberg Feb 1 at 15:07

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