Why Do Some Theorists Claim Cosmic Inflation Dilutes Magnetic Monopoles?

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Discussion Overview

The discussion revolves around the relationship between cosmic inflation and the potential existence of magnetic monopoles, exploring theoretical implications and interpretations of Maxwell's Equations. Participants examine the nature of magnetic monopoles in cosmology, particularly in the context of grand unified theories and phase transitions in the early Universe.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants note that Maxwell's Equations, specifically ##\nabla\cdot\vec B=0##, indicate the absence of observed magnetic monopoles but do not serve as definitive proof of their non-existence.
  • There is a suggestion that the lack of observed magnetic monopoles could be due to their rarity or the possibility that they do not exist at all.
  • One participant explains that the magnetic monopoles discussed in cosmology are not point particles but rather topological defects arising from phase transitions in the early Universe.
  • The Dirac quantization condition related to the existence of a single magnetic monopole is mentioned as a point of interest.
  • Another participant introduces an alternative equation, $$ \vec \nabla \cdot \vec B = \mu _ 0 \rho _ m $$, which accommodates the existence of magnetic monopoles, suggesting a nuanced interpretation of magnetic fields.
  • A request for specific instances of claims regarding cosmic inflation diluting magnetic monopoles indicates a desire for clarity and context in the discussion.

Areas of Agreement / Disagreement

Participants express differing views on the implications of Maxwell's Equations regarding magnetic monopoles, and the discussion remains unresolved with multiple competing interpretations present.

Contextual Notes

The discussion highlights limitations in understanding the implications of magnetic monopoles and cosmic inflation, particularly regarding the definitions and interpretations of relevant equations.

GaloisGroup
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TL;DR
Why would non-existent monopoles be "diluted" by cosmic inflation?
So if Maxwell's Equations state that Div B = 0 which is a statement that there are no magnetic monopoles why do some folks claim that Cosmic Inflation "dilutes" magnetic monopoles?
 
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##\nabla\cdot\vec B=0## is a statement that we don't see magnetic monopoles, not a proof that there are none.

A reason why we don't see any (either they exist, but are super rare, or they don't exist at all) would be nice.
 
The magnetic monopoles that are considered in cosmology are not point particles. They are topological defects resulting from phase transitions in the early Universe, typically in grand unified theories.
 
I am fascinated by the Dirac quantization condition that pertains to the existence of a single magnetic monopole.
 
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The equation $$ \vec \nabla \cdot \vec B = 0 $$ rules out the existence of magnetic monopoles but there is another equation $$ \vec \nabla \cdot \vec B = \mu _ 0 \rho _ m $$ which includes the existence of magnetic monopoles.
 
GaloisGroup said:
why do some folks claim that ….?
Do you have a particular instance of this claim? It’s hard to have a sensible discussion without that.
 
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