I'm not a mathematician or a physicist but interested in quantum mechanics/gravity/relativity. I'm trying to understand some ideas that are presented for laymen, and a lot of them talk about different fields. So I'm trying to understand it this concept a little better as I can't seem to visualize what it actually is.
First off the way I think about it now isunderstand what my Calc3 taught me like as in a vector field. Every point in space having some vector associated is and how to work with it, so with some operations you can find out things like slope at points and findfinding a slope, direction. But every field that I can think about has some kind center of origin or position from which these fields radiatemaximum increase etc. LikeWhat I'm unsure of is why something like a gravitationhiggs field wouldis considered to be emanating from the magnet,everywhere while a magnetic field or gravitational field emanating from the planet etcseem to be generated by an object and are local. ButSo my question is why do some things like higgs fields have a distance limit and gravitational are sometimes described as being everywhere.
Like in the book book Covalent Loop Quantum Gravity, by Carlo Rovelli, one of the things he says is that gravitational field is the same thing as space-time in general relativity. So the gravitation field mustothers can act at arbitrary distances and seem to be present everywhere thatat every point in space-time is present?
If possible I also read that particles in fields are just excitations of the field itself. So does that mean there is one single field and that all the other particleswould like all the bosonsa technical answer first and all the fermions, just excitations of that field at different energies? Or are there separate fields that are just interacting with one another?then maybe some explanation. Thanks for answering.
Responces:@Qmechanic thanks for the link, I did read the whole page but I don't feel like it answered my question. They mostly explained what a field is, which I sort of understand. But I wanted to understand why some fields are considered infinite, like gravity. And why some fields are considered to be omnipresent like the higgs fields.
I'm also trying to understand what does it mean when physicsts say a photon is a particle of an electromagnetic field, or graviton is part of a gravitational field. Is the field just considered to be a literal field of those particles, or is the field the background and the particles arise out of the field? – user3011924 9 mins ago