After the Big Bang, the Universe simmered as a fiery 'soup' of fundamental particles. Expanding and cooling, the soup gradually 'solidified' into protons and neutrons — much like crystallization. Had the solidifying been instantaneous, like a lake cracking in a deep freeze, the fabric of spacetime would have convulsed. That convulsion would have produced gravitational waves — ripples with a crest lasting years. You could spot them via glitches in the signals of pulsars — natural lighthouses whose pulses are as precise as atomic clocks.
Yet calculations revealed: even in the most violent scenario, where matter stayed liquid far beyond the 'freezing' point, the energy wasn't enough for a jolt. The Universe set flawlessly smooth, like glass without a single bubble.
So, most likely, no gravitational waves came from the primordial transition. That doesn't diminish the early Universe's mysteries — on the contrary, it motivates searching for traces of other cataclysms, like the cosmic inflation proposed by Alan Guth.
as written by the authors arXiv:2603.29772
We revisit QCD-induced little inflation in which the Universe starts with a large baryon chemical potential and undergoes a strong first-order QCD phase transition, generating an observable stochastic gravitational-wave background in the nano-Hz range relevant for pulsar timing array (PTA) observations. We point out that the conventional homogeneous transition from the quark-gluon plasma phase to the hadronic gas phase faces an unavoidable difficulty in achieving the required strength of supercooling for the observed baryon density. This motivates us to explore whether a qualitatively different phase structure at a large baryon chemical potential can alter the relation between the baryon density and the chemical potential, and thereby modify the supercooling history of the transition. Using the nucleon-meson model with isoscalar vector mesons, we determine the critical and spinodal structure of the chiral density wave (CDW) phase in the $$(\mu_B, T)$$ plane. We find that the CDW phase exhibits a nontrivial structure and can remain metastable down to a low baryon density in a certain region of the parameter space. Taking into account the subsequent liquid-gas transition and phase separation, however, the released latent heat is too small to realize a viable QCD-induced little inflation scenario and its associated PTA-scale gravitational-wave signal. Our analysis sharpens the conditions under which QCD phase transitions may act as cosmological sources of nano-Hz gravitational waves, while clarifying the possible cosmological relevance of inhomogeneous QCD phases.
Supercooled water can remain liquid at minus forty, yet a light bump solidifies it instantly. The cosmic 'soup' could have supercooled too, but even that bump proved too weak to birth gravitational waves.