Three of the biggest mysteries in particle physics are actually just a single geometric property of a ghost-like particle called a neutrino.

The self-duality of the neutrino field configuration explains three major unresolved problems in physics at once. This structural invariant determines whether neutrinos are their own antiparticles, how their masses are ordered, and why they behave differently than their mirror images. Most researchers have spent years looking for three separate explanations for these complex puzzles. This discovery simplifies our understanding of the universe's most elusive particles into one single geometric rule. The paper provides specific predictions that upcoming global experiments can now use to verify this theory. It turns three deep mysteries into one elegant solution.