We explore the possibility that the right-handed neutrino is a five-dimensional state propagating in a micron-sized extra dimension, as required by the 'dark dimension' scenario. We calculate the production signatures of R-neutrinos in the KATRIN experiment and compare them with sterile neutrino signatures, which manifest as a kink in the beta-decay electron spectrum at an energy corresponding to the sterile neutrino mass. We study the allowed parameter space: the compactification scale, the bulk R-neutrino mass, and the Yukawa coupling. We show that a significant portion of this space is within KATRIN's sensitivity. When the bulk mass is much smaller than the compactification scale, several kinks corresponding to Kaluza-Klein excitations are expected; for large bulk mass, effectively a single kink at the bulk mass level appears.
All known particles fit into the conventional theory. But neutrinos — almost intangible "ghosts" — don't quite fit: they come only in "left-handed" forms yet have mass. To resolve the paradox, physicists have proposed that "right-handed" neutrinos hide in a curled-up micro-world. This idea is linked to the hypothesis of dark energy — the force expanding the Universe — and implies the existence of a fifth dimension as thin as a bacterium.
Such a dimension is like a guitar string looped into a ring. A particle inside it vibrates and spawns a whole family of heavier copies — just as a sound acquires overtones. The KATRIN experiment captures electrons from tritium decay and records their energies with record precision. If hidden neutrinos are real, sharp steps will appear in this energy "scale" — as if the string is pressed against a specific fret.
The number and position of these kinks will tell us about the particle's mass and its immersion in the fifth dimension.
In essence, we are witnessing spectroscopy of electrons turned into a phonograph of other dimensions. If KATRIN catches such a "melody," it will be the first direct proof that space is more complex than we thought.
🎯 A micron is a thousandth of a millimeter. That's about the size of a bacterium or the thickness of a spider's silk.
🎬 The idea of hidden dimensions has inspired science fiction: in the novel Flatland, two-dimensional inhabitants are unaware of the third until they see a visitor from the three-dimensional world.