Solar energy paper index

Surface Water Wave Scattering and the Hydrotope

2026-06-26 · arXiv: 2606.28280

One-line summary

A solar energy research paper on Surface Water Wave Scattering and the Hydrotope.

Engineering notes

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Chinese explanation / 中文解读

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Original abstract

We study the classical tree-level scattering amplitudes of deep-water surface gravity waves using the methods of high-energy physics. For scattering in one horizontal dimension and in the two-negative-wavenumber sector we obtain a closed formula for $n$-wave scattering. Up to a kinematic prefactor, the amplitude is the volume of a classic polytope -- a box sliced by a hyperplane, which we dub the hydrotope, whose purpose in life is simply to organize the sign patterns of the "chambers" characterizing all the different regions of the two-minus kinematic space. The general formula was discovered by Claude Opus 4.6 working under our guidance, beginning with our earlier discovery of a one-term expression valid in the "simplest" kinematic chamber. Our results resolve the puzzle raised by Y.V. Lvov's 1997 computation of the five-wave amplitudes, unifying and extending it to all multiplicities.

5.0Engineering value
7.0Research novelty
4.0Business relevance

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