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The definition of a field supposes simultaneity?

  1. Sep 24, 2015 #1
    A field is defined as a distribution throughout all space (or at least a portion of it). But all of (a portion of) space means all of space at a particular moment, no? But that sounds as if it assumes simultaneity. But I thought simultaneity was a meaningless concept, according to relativity. What am I missing here?
  2. jcsd
  3. Sep 24, 2015 #2


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    Science Advisor

    If a field is static then simultaneity is irrelevant. If a field is changing then one may need to describe it as a field over four dimensional space-time rather than just three-dimensional space.

    Simultaneity is not meaningless in special relativity. It is just that it is frame-relative rather than a universal invariant.
  4. Sep 24, 2015 #3


    Staff: Mentor

    In field theory the fields are fields on spacetime, not just space.
  5. Sep 24, 2015 #4
    Thank you, jbriggs444 and DaleSpam. Your responses were very helpful.
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