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Physics, Astronomy & Cosmology / Re: Why is inflation needed in the bbt?
« on: 25/06/2022 15:32:44 »
Hi.
Yes, more or less.
We haven't observed any magnetic poles, that is written in mathematical notation as ∇.B = 0.
That's all that is, just a way of writing that phrase in mathematical notation. It's not a proof that magnetic monopoles don't exist. If they were found, then that equation in the set of Maxwell's equations would need to be changed. However, it would only need changing for those situations where there is a magnetic monopole in the experiment or situation being modelled. Where there isn't any magnetic monopole then the equation obviously still holds.
The existing theory of classical electromagnetism can be considered as some "proof" or evidence that magnetic monopoles are very rare and certainly don't contribute to many situations. Maxwell's equations including ∇.B = 0 have proved very accurate and reliable in predicting and modeling electromagnetic phenomena. If ∇.B is significantly not 0 in some situations we should have noticed it by now because Maxwell's equations would have given us predictions that didn't match the observations.
However, that's as much as we can say - if they exist, then they will be rare and not important for the situations we have studied or modelled so far. ∇.B(x, t) ≈ 0 at all positions x in space and times t should remain a very useful approximation.
So it's possible to imagine that the bare-bones of the ideas for the BBT could persist while some of the fine details for things like particle synthesis just after the Big bang are adapted. Physicist's would like to find monopoles because that would support the overall conglomeration of ideas that make up our best theories of cosmology including things like particle synthesis. These early moments of the Universe including processes like nucleosynthesis are all included under the umbrella term "the Big Bang Theory".
Best Wishes.
from an engineering perspective(which is what I am limited to) ∇.b=0 precludes the possibility of magnetic monopoles.
Yes, more or less.
We haven't observed any magnetic poles, that is written in mathematical notation as ∇.B = 0.
That's all that is, just a way of writing that phrase in mathematical notation. It's not a proof that magnetic monopoles don't exist. If they were found, then that equation in the set of Maxwell's equations would need to be changed. However, it would only need changing for those situations where there is a magnetic monopole in the experiment or situation being modelled. Where there isn't any magnetic monopole then the equation obviously still holds.
The existing theory of classical electromagnetism can be considered as some "proof" or evidence that magnetic monopoles are very rare and certainly don't contribute to many situations. Maxwell's equations including ∇.B = 0 have proved very accurate and reliable in predicting and modeling electromagnetic phenomena. If ∇.B is significantly not 0 in some situations we should have noticed it by now because Maxwell's equations would have given us predictions that didn't match the observations.
However, that's as much as we can say - if they exist, then they will be rare and not important for the situations we have studied or modelled so far. ∇.B(x, t) ≈ 0 at all positions x in space and times t should remain a very useful approximation.
I would love to hear some elaboration on this, in particular why the bbt requires these monopoles.It's not exactly the Big Bang Theory that demands monopoles. The existence of magnetic monopoles is suggested by several more specific theories in physics. For example, standard particle theories and superstring theory. Of which the standard model of particle physics is probably the most important and most widely accepted, superstring theory is an optional addition.
So it's possible to imagine that the bare-bones of the ideas for the BBT could persist while some of the fine details for things like particle synthesis just after the Big bang are adapted. Physicist's would like to find monopoles because that would support the overall conglomeration of ideas that make up our best theories of cosmology including things like particle synthesis. These early moments of the Universe including processes like nucleosynthesis are all included under the umbrella term "the Big Bang Theory".
Best Wishes.
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