3D Kakeya Conjecture Cracked: A Towering Achievement in Harmonic Analysis
2025-03-15
Mathematicians Wang and Zahl have solved the long-standing three-dimensional Kakeya conjecture, a problem deeply connected to the Fourier transform. Their proof is likened to building a 'tower of dreams,' resolving a series of interconnected problems in harmonic analysis. Their ingenious method, akin to perfecting a perpetual motion machine, iteratively improved bounds until reaching the three-dimensional solution. This breakthrough opens doors to tackling higher-dimensional problems and marks a significant advancement in the field.
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Harmonic Analysis