Is an electromagnetic field an entity?
Yes.
The term “entity” has several meanings, depending on context. The primary meaning (for purposes of this discussion) is as follows: “An entity means a self-sufficient form of existence, as against a quality, an action, a relationship. etc., which are simply aspects of an entity that we separate out by specialized focus. An entity is a thing.” (Peikoff, The Lexicon, page 146)
An entity has a real, metaphysical existence. A concept that refers to a collection of entities does not. For example, consider the concept “society”. While the concept is useful, there is no such entity as “society”. All that actually exists (in this context) are individual human beings.
There are certain attributes that apply to individual human beings that do not apply to the concept, “society”. For instance, one cannot refer to the sex of a society; sex is a characteristic of the individual, not of the group; there is no entity “society” to be male or female. Likewise, one cannot refer to the mind of society; the mind is an attribute of the individual, not of the group; there is no entity “society” that possesses a mind.
One can measure certain attributes of individual members of a collection and refer to an average. For instance, one can say the average age in a particular society is 45 years.
But such statements have no meaning when one measures a property possessed by some members of the collection but not by others. It would make no sense to say, society is an average of 4.5 months pregnant. Society cannot be pregnant. Only individual females can be pregnant.
Like the concept “society”, the concept “universe” refers not to an entity, but to a vast collection of entities. The wider and more disparate the nature of the entities subsumed by a collection, the less you can say about the collection as a whole. When you use a term that refers to all entities – living and non-living, matter and energy, nano-scale and galactic scale – about all you can say about the collection is that it includes everything that exists, it possesses identity, it follows natural law, etc.
Attributes of individual human beings, like sex and mind, are not attributes of the collection “society”. Likewise, attributes of individual existents are not attributes of the collection that includes all existents: the universe. The universe does not have a wavelength, a temperature, a color, an orbital velocity, a sex, a lifespan, a career, a consciousness – or any of a whole host of properties that apply only to entities.