How the Universe is Born from Nothing ⚡ экспресс
The quantum birth of a closed universe is considered within the Euclidean path integral formalism. The calculation is performed in minisuperspace with a fixed interval, where the Hamiltonian constraint is imposed at the level of the classical instanton, and full integration over the lapse function is not included beyond the leading semiclassical approximation. An analytical expression for the tunneling probability is obtained, comprising exponential suppression and a precise Gaussian pre-exponential factor due to quadratic fluctuations around the instanton. The result provides a transparent and self-consistent semiclassical estimate of the universe nucleation rate, refining previous analyses by incorporating Gaussian fluctuations.
Quantum nothingness resembles water in a pot just before boiling. From time to time, a bubble spontaneously swells up — but not of steam, but of an entire universe. Such a bubble doesn't collapse; instead, it inflates into spacetime, triggering its own Big Bang. The only question is how often this happens.
Physicists took this metaphor seriously and calculated the exact probability. They used a mathematical trick: treating time as a fourth spatial dimension. The resulting formula resembles the one describing a particle passing through a wall. Previously, only the main factor was considered, which made the chance vanishingly small. Now they added quantum fluctuations — chaotic jitters inherent to every bubble at the quantum level. These turn a rough estimate into a precise calculation.
Ultimately, they obtained a simple formula where the chance of a Universe appearing from nothing is expressed through familiar physical constants. Most surprising: structurally, it barely differs from calculations for elementary particles — as if the entire cosmos behaves like one big quantum object.
🎯 In quantum physics, even a particle can pass through a wall. It turns out that mathematically, a whole universe is no different — it's the largest 'tunneling' object ever studied by scientists.