Field is used to describe something that does not have a particular position but exist at every point in space. For example, temperature in a room. Field theory is a set of rules describing how a field will behave.
Pierre-Simon Laplace explained gravity use the concept of gravitational field. Presence of object changed the gravitation field values around it (vibration)and created a potential difference. Objects are attracted as they move across areas of potential difference.
Photons (light) are vibration of the electromagnetic field.
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