What is Field? Understanding its Nature and Properties

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HI,
I wanted to know what is field anyway, Is it wave, particle or some different sort of physical entity.
 
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A field is a function of coordinates and time: f(r,t).

A particle (point-like particle) has three coordinates depending on t: r(t). It is a line in the 3D space.

A filed is normally defined in all points of space.

Example of a scalar filed: pressure in the atmosphere p(r,t).

Example of vector filed: wind velocity in the atmosphere V(r,t).
 
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Mr. Bob, I am very thankful to you about yours response. But sir I am not interested in the mathematical description but rather its physical description. e.g. whether em field really exist, or it is just a mathematical tool.
 
Yes, the EM field exists: it can be received by a radio, TV, etc. Sound waves are also a good example: we hear them at any place of space.
 
Thank You Mr. Bob
 
More correctly, it is waves in the EM-field that are "received" by a radio, not the field itself!
 
Yes your are right. But question still remains there. What are exact physical phenomenons working behind these so called force fields?
 
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As for classical fields, one of my teachers, long ago, described them as an "influential domain of a source" (T.K.Ishii). I have always found this to be a satisfying non-mathematical description.

Skippy