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Suekdccia

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- TL;DR Summary
- Could electrons and interactions between electrons avoid quantum fluctuations become "static"?

I was thinking about this paper (https://arxiv.org/abs/1405.0298) where the authors argue that there wouldn't be dynamical quantum fluctuations in a De Sitter space as fluctuations would be static once all perturbative radiation escapes the horizon (in the case that the Universe has a finite dimensional Hilbert space or has no cosmological horizon like in a classical Minkowski spacetime).

They also argue that once perturbative radiation leaves the horizon then there would be only two non-perturbative processes: quantum down tunneling or up tunneling. However, up tunneling is supressed because quantum fluctuations become static and there would be no "measuremente device" to make them dynamical (the eigenstates would not decohere into separate outcomes of the wavefunction)

But in their argument the universe is static because all perturbative radiation abandons the cosmological horizon. However, there would still be electrons, and they could arrange into interacting systems like Wigner crystals. A local system of interacting electrons is not perturbative radiation, besides, the universe would become static if there was nothing that would interact within it, but if we leave a system of interacting electrons (like a Wigner crystal) then it does not become static in the first place as there is already a system of interacting things

Basically, my point is: even if all perturbative radiation exited the horizon, and protons decayed, there would still be electrons, and if there are electrons within the universe, then there would be a non-zero probability that some of them in some place begin interacting, even forming structures like a Wigner crystal, and these interactions could avoid quantum fluctuations from being static, as they can cause the decoherence of a quantum system. So there is a small caveat or exception in their model...

Does this make any sense?

They also argue that once perturbative radiation leaves the horizon then there would be only two non-perturbative processes: quantum down tunneling or up tunneling. However, up tunneling is supressed because quantum fluctuations become static and there would be no "measuremente device" to make them dynamical (the eigenstates would not decohere into separate outcomes of the wavefunction)

But in their argument the universe is static because all perturbative radiation abandons the cosmological horizon. However, there would still be electrons, and they could arrange into interacting systems like Wigner crystals. A local system of interacting electrons is not perturbative radiation, besides, the universe would become static if there was nothing that would interact within it, but if we leave a system of interacting electrons (like a Wigner crystal) then it does not become static in the first place as there is already a system of interacting things

Basically, my point is: even if all perturbative radiation exited the horizon, and protons decayed, there would still be electrons, and if there are electrons within the universe, then there would be a non-zero probability that some of them in some place begin interacting, even forming structures like a Wigner crystal, and these interactions could avoid quantum fluctuations from being static, as they can cause the decoherence of a quantum system. So there is a small caveat or exception in their model...

Does this make any sense?