In summary, the conversation discusses the uncertainty principle in quantum field theory and its relation to the conditions of the early universe. The notion of quantum fluctuations is often referenced in this context, but the argument presented is not considered valid as it is based on personal speculation and goes against the rules of the discussion. The key question is about the origin of the super hot state of the early universe and whether the uncertainty principle can explain it. However, it is not appropriate to use the uncertainty principle to explain something from nothing in this scenario.
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victorvmotti
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Does uncertainty relevant about the origin of the super hot state, or infinite amount of energy, of the early universe?
I have a question related to the uncertainty principle in QFT and if it is related to the early universe conditions.

Do we still have four-vector momentum and position uncertainty relation in relativistic quantum theory?

I have been following the argument related to the early universe and the emergence of matter-energy from nothing.

They often refer to the notion of quantum fluctuations.

But I wonder if a simple explanation goes like this, instead:

Since in the early universe, the scale factor in the Standard Model approaches zero, we could say that the volume of spacetime, in the proper frame, is arbitrarily small and therefore the uncertainty of spacetime is close to zero. As a result, the uncertainty of momentum-energy must be arbitrarily big, close to infinity.

So, one can conclude, simply using the uncertainty principle, that close to the big bang singularity, infinite momentum-energy is available in the early universe, which evolves first into radiation dominated and then matter dominated cosmos.

Is this argument correct?

My key question is about the origin of the super hot state, or infinite amount of energy, of the early universe, and not related to the later stage, i.e. formation of matter and antimatter and leptogenesis.

Put it another way, are we talking about quantum fluctuations of the vacuum to basically mean an application of the uncertainty principle in a universe so compact that the uncertainty of spacetime is almost zero and hence the momentum-energy uncertainty is almost infinite?

Can we just use the uncertainty principle to explain something from nothing?
 
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victorvmotti said:
Since in the early universe, the scale factor in the Standard Model approaches zero, we could say that the volume of spacetime, in the proper frame, is arbitrarily small and therefore the uncertainty of spacetime is close to zero. As a result, the uncertainty of momentum-energy must be arbitrarily big, close to infinity.

So, one can conclude, simply using the uncertainty principle, that close to the big bang singularity, infinite momentum-energy is available in the early universe, which evolves first into radiation dominated and then matter dominated cosmos.

Is this argument correct?
No. It's not even wrong. And it's personal speculation, which is off limits here.

Thread closed.
 
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1. What is the Uncertainty Principle in Quantum Field Theory (QFT)?

The Uncertainty Principle in QFT is a fundamental principle in quantum mechanics that states that it is impossible to know the exact position and momentum of a particle at the same time. This is due to the inherent uncertainty in measuring these properties at the quantum level.

2. How does the Uncertainty Principle apply to the early universe?

In the early universe, the Uncertainty Principle played a crucial role in the formation of the universe. According to the theory of cosmic inflation, the universe underwent a rapid expansion in a fraction of a second. This rapid expansion caused quantum fluctuations, which were governed by the Uncertainty Principle, to be magnified and eventually led to the formation of the large-scale structures we see in the universe today.

3. Can the Uncertainty Principle be violated?

No, the Uncertainty Principle is a fundamental principle in quantum mechanics and has been extensively tested and confirmed through various experiments. It is a fundamental part of our understanding of the behavior of particles at the quantum level and cannot be violated.

4. How does the Uncertainty Principle affect our understanding of the early universe?

The Uncertainty Principle is crucial in our understanding of the early universe as it helps explain the formation of large-scale structures and the distribution of matter in the universe. It also plays a role in the uncertainty and randomness observed in the cosmic microwave background radiation, which is the leftover radiation from the early universe.

5. Can the Uncertainty Principle be applied to other areas of physics?

Yes, the Uncertainty Principle is a fundamental principle in quantum mechanics and applies to all particles at the quantum level, not just in the early universe. It is also used in various other areas of physics, such as quantum computing and quantum cryptography, to understand and predict the behavior of particles at the quantum level.

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