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▶youtube SciencePhysics first seen 4 d ago, last 1 h ago, peak #2

Why the Number -1/12 Keeps Appearing in Physics

Original: Why Does -1/12 Keep Appearing Everywhere In Physics?

Physicists and science communicators are revisiting the puzzling result that the sum of all positive integers appears to equal -1/12, a claim rooted in analytic continuation of the Riemann zeta function. The value shows up in real calculations, from the Casimir effect to string theory, and debates continue over what it truly means and whether the popular explanation misleads people about the mathematics involved.

Why now: Ongoing fascination with the counterintuitive maths of divergent series and their genuine role in physical theories.

PBS Space TimeRiemann zeta functionstring theoryCasimir effect

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