Popular

Mustafa Bakr

1 articles · 1 co-authors · latest: 2025-12-23

Ghost Mode in a Sphere: Mathematics Without Physics

In a hollow metal sphere, light waves can freeze into stationary patterns, like frozen ripples on a pond. But among all possible shapes, one is peculiar: it has zero frequency, and the fields vanish, leaving only a mathematical trace. For a long time, this invisible 'ghost' confused physicists when
arXiv:2512.20123 · 2025-12-23