Impedance theory was intuited centuries before its formal equations existed

Evidence

It is delightful to find the Ṣafī al-Dīn “push and pushback” intuition for impedance and its increase inside tubes owing to wall reflections. Even today, explanations of these phenomena, while much more precise, tend to take the form of equations, with the physical intuition confined to the derivations of the governing equations. If those equations correctly predict the impedance near a small source, contemporary authors usually see no need to provide a more visceral physical picture as well. — Eric J. Heller, Why You Hear What You Hear- An…, 533

Categorization

• XREF: Connects to craft/method conversations about how modern physics abandoned visceral intuition in favor of equations — relevant to the reader’s interest in why we hear what we hear, since the intuitive picture aids understanding.