The possibility of describing quantum particles in the vicinity of three types of cosmological singularities is investigated: the Big Bang/Crunch, the Big Rip, and the Big Freeze. For spinor fields (fermions), the Dirac equation is written down and a convenient parametrization of basis functions is chosen. It is shown that the corresponding second-order differential equation has two independent non-singular solutions for all three types of singularities. This allows the construction of a Fock space for spinor particles and interpretation of the result as the ability of fermions to traverse cosmological singularities. For scalar particles (bosons), such a procedure is impossible, and changing the parametrization does not help. Thus, fermions demonstrate greater resilience to singularity traversal than bosons.
The end of the Universe isn’t just darkness. If dark energy tears it apart, or it crunches back into a point like a reverse Big Bang, we hit a singularity—the moment where physics as we know it breaks down. For ages, we thought everything vanishes in this cosmic cataclysm. But the equation derived by Paul Dirac in 1928 revealed: matter particles, fermions, are like seeds that don’t burn, while force carriers, bosons (like photons of light), are flames destined to fizzle out.
At the heart of the singularity, where spacetime curvature becomes infinite, Dirac’s equation yields finite, calm solutions for them. For bosons, there’s no such loophole. Researchers first spotted this escape hatch by linking Dirac’s ideas with Stephen Hawking’s work on black holes.
🎯 The Dirac equation, which predicted antimatter, now shows that matter is immortal on a cosmic scale—it will survive any catastrophe and be reborn.