Extra dimensions might produce lightweight particles that interact differently with left-handed and right-handed fermions, potentially uniting gravity with the weak force.
Kaluza-Klein theory traditionally assumes that the extra dimensions in the universe must be perfectly symmetrical to create the forces we see. This new model shows that fields tied to non-symmetrical shapes can generate massive yet light bosons. These particles create an asymmetry between left and right handed matter, which is a key feature of the weak nuclear force. Previously, theorists thought this kind of asymmetry was impossible to derive from the geometry of higher dimensions. This discovery offers a new path to reconcile the force of gravity with the subatomic interactions of the Standard Model. It potentially explains why matter behaves differently than antimatter in our universe.
Chiral interactions of fermions and massive gauge fields in Kaluza-Klein models
arXiv · 2506.09126
In Kaluza-Klein theory, gauge fields on $M_4$ arise as components of a higher-dimensional metric defined on $M_4 \times K$. The traditional expectation is that all the gauge fields of the Standard Model are linked to exact Killing vector fields on the internal space. This paper questions that assumption and investigates the properties of 4D gauge fields linked to non-Killing fields on $K$. It is shown that they have massive yet arbitrarily light bosons; they can mix fermions with different masse