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Magnetic fields are created when an electric current flows: the greater the current, the stronger the magnetic field.

What influences could affect the Higgs Field?
If the Higgs field grew in strength, how might this effect the mass of a particle or particles?

The big question I'm asking, is the universe really expanding? Could the observed redshift from distant galaxies be something, far less complicated?

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No. To make a long story short, if the Higgs field changed its coupling to particles with time then particles in the distant past would have different masses. This would mean atomic spectra of distant galaxies would has differences from spectra now here on Earth. No such change is observed.

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A time dependent coupling would mean that this coupling is in fact a field in its own right. This field would correspond to some new particle that would need to be very heavy, otherwise it would have been detected in experiments directly or indirectly by modifying the way the known standard model particles interact with each other . But if the particle associated with this field is very heavy, then the coupling would be frozen to some fixed value.

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