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Acoustic Analogy of Quantum Baldin Sum Rule for Optimal Causal Scattering

Sichao Qu ^1,*, Zixiong Yu ², Erqian Dong¹, Min Yang^3,†, and Nicholas X. Fang ^1,4,‡

¹Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, China
²Yau Mathematical Sciences Center, Department of Mathematical Sciences, Tsinghua University, Beijing, China
³Acoustic Metamaterials Group Ltd., Data Technology Hub, TKO Industrial Estate, Hong Kong, China
⁴Materials Innovation Institute for Life Sciences and Energy (MILES), HKU-SIRI, Shenzhen, China

^*Contact author: qusichao@hku.hk
^†Contact author: min@metacoust.com
^‡Contact author: nicxfang@hku.hk

No Free Lunch for Sound Waves

Mark Buchanan

Physics 19 80 (2026)

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ISSN 1079-7114 (online), 0031-9007 (print).

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