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Is it possible for a place to exist with zero Higgs field, by kind of shielding it or something(theoretically)?

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The simple answer is no, though as always the answer is more involved than this.

I would guess you are thinking of the way that a Faraday cage can block electromagnetic fields. However the Higgs field is a quantum field and this is very different from an electromagnetic field. A quantum field is a mathematical object that is present everywhere in spacetime and describes how fundamental particles behave. Quantum fields cannot be screened out because they are not a physical thing.

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  • $\begingroup$ Can we stop it's interaction with matter? (To make it massless) $\endgroup$ Nov 2 '17 at 7:50
  • $\begingroup$ @Saptarshisarma: No. The quantum fields exist at all points in spacetime and cannot be removed, screened out or whatever. It is impossible to prevent the particle fields from interacting with the Higgs field. $\endgroup$ Nov 2 '17 at 8:16
  • $\begingroup$ But what about a photon? $\endgroup$ Nov 9 '17 at 20:23
  • $\begingroup$ @Saptarshisarma: the photon is part of the Higgs field, or more precisely part of the unified EW gauge degrees of freedom. It's the bit that got left over when the EW symmetry broke and three of the degrees of freedom acquired masses. $\endgroup$ Nov 9 '17 at 20:26
  • $\begingroup$ @Saptarshisarma Also, the Higgs mechanism is only responsible for a small percentage of the mass of matter. Even if you could somehow block the Higgs field, that would not make atoms massless. $\endgroup$
    – PM 2Ring
    Nov 27 '19 at 3:26

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