How adding every positive number can result in a negative fraction
In short: It seems like a mathematical impossibility, but the sum of all positive integers is often treated as -1/12 in physics. This video explains how scientists extract finite values from infinite sums to understand the fabric of our universe.
The video explores the mathematical techniques physicists use to assign finite values to divergent infinite series. While the sum of all positive whole numbers does not equal -1/12 in standard arithmetic, this specific value emerges in complex physical models.
The phenomenon is not just theoretical; it manifests in the measurable Casimir effect and is a fundamental requirement for bosonic string theory, which necessitates 26 dimensions. By understanding these regularizations, researchers can bridge the gap between abstract math and observable reality.
Opens the Intellect+ feed with this card first. Swipe up for the next one.
Sources
- Summary by Intellect · source: Why Does -1/12 Keep Appearing Everywhere In Physics?
To cite this card, link to https://intellectplus.co.uk/app/space-why-does-1-12-keep-appearing-everywhere-in-physics.
How we source, check and correct cards: Editorial standards.
General information, not professional advice. Spotted an error? Flag the card or see corrections and complaints.
Intellect Plus is a visual educational discovery platform for exploring fascinating facts and ideas. Brain Food, Not Brain Rot. What is Intellect Plus?
Related
More in Space · Latest · A–Z · All topics
