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There is no way this could happen. Statistical thermodynamics can be applied to free particles (atoms, molecules, but elementary particles are somehow never involved), some chemical interactions (by introducing the chemical potential), but not to complex interactions in which a complex compound of a high variety of bound structures is involved, like in a breaking (reassembling) egg. I was once told too that if you wait long enough, an egg can appear. How stupid I was to believe this!
It is said that the time-reversed breaking of an egg, the spontaneous assemblage of an egg, will for sure occur if we wait long enough. But:
There are phonons released in the process if the egg appears on Earth (or on a planet with a variety of different stuff) all those phonons (sound quanta) must be involved in the reversal of an breaking egg, as well as the photons coming from it. And even a tiny amount of gravitons (gravitational waves). These must be produced by some statistical process. But how will these photons and gravitons be produced in a statistical process? They will not be. That's just impossible. It's even easier to imagine that the right phonon combination can occur spontaneously thereby materializing the time reversed sound coming from the breaking of an egg. This might occur in the atmosphere.
What about the way the egg is broken? I mean, there is a cause for the breaking. It can fall onto a hard surface, it can be hit by a bullet or an airplane, or be crushed in the hand of my strong granny (when she makes me pancakes). This has to be considered too. In fact, everything surrounding the egg has to be considered, including the whole history of the universe (all interacting matter and all developing spacetime, though maybe a Hubble volume will do...).
So the answer most definitely is no.
Stephen Hawking once thought that all physical processes would reverse their direction in time when the universe starts to contract, but he, later on, saw he was mistaken, so no magician will ever live to accidentally make an egg appear...
Can we create a time-reversed breaking egg? Obviously, only in a video in which the process seems easy to occur. But for angg to appear there will always have to be a chicken (if it's a chicken egg) involved.
If the egg contains a little chicken then the spontaneous creation of life could occur (Boltzmann brains). Luckily, it can't.Why luckily? I rather have parents, ancestors, and more down the line. It would be very lonely!