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The Klein Bottle Mystery: Where Matter Came From ⚡ экспресс

Original: "Klein Bottle Cosmology"
arXiv:2511.23447 · 2025-11-28 · CC BY · ⏱ 1 min · HEP Theory Cosmology General Relativity
A hidden dimension shaped like a Klein bottle can disrupt the balance between matter and antimatter, creating an excess of matter.
Abstract

Imagine a Universe with extra dimensions twisted like a Möbius strip. This shape spontaneously breaks symmetry, creating a 'wall' of quantum particles. If our three-dimensional world passes through it, it could explain the mystery: why we see matter around us, not antimatter?

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In the familiar world, there are three dimensions. But physicists allow for the existence of hidden, curled-up directions. If one of them is twisted into a Klein bottle—a surface with no inside or outside—fundamental laws break down. This shape violates CP symmetry, a rule of the Standard Model that dictates matter and antimatter should be created in equal amounts.

In the curved dimension, a dense layer of virtual pairs arises—something like a fog of unborn matter. Our three-dimensional universe, like a ship, glides through this fog. From the friction with it, real particles are born, but due to the symmetry breaking—slightly more matter. Just one extra proton per billion is enough to give rise to galaxies and us.

A Klein bottle has no edges and is non-orientable: an ant crawling on it comes back mirrored. Similarly, the shape of the dimension "skews" the birth of particles.

This mechanism elegantly explains the mystery of the early universe: where the matter came from. Without this microscopic imbalance, the world would have remained empty.

🎯 A Klein bottle cannot be constructed in a three-dimensional world: it intersects itself. Its true form is revealed only in four dimensions.

Scientists
Adam RiessBrian SchmidtEdwin HubbleGeorges LemaîtreMaarten SchmidtSaul Perlmutter
Tags
Standard Model expansion of the universe spacetime curvature
Laws
Hubble's lawNoether's theoremequivalence principlespin–statistics theoremFermi's golden ruleLense–Thirring effect
Original: arXiv:2511.23447 · CC BY · bridge42worlds