Even if a field is not an entity and non-local effects cannot exist, how is it possible to explain the seemingly non-local effect of the field-originating entity needing to exert forces of some magnitude, however small, on the entirety of the entities in the universe in order to be in accord with the equations describing the potentialities for force exertion in a field?
In truth, it is impossible for a single entity to act on absolutely everything else that exists, and this fact can be accounted for by including certain caveats to the use of field expressions.
A given field expression is accurate only for a given instant; since fields involve the exertion of forces, and forces cause acceleration, the concept of a field is inextricably tied to the movement of a particle said to be within a field. As soon as the particle begins to move, it is no longer at the same position at which it has been previously, and a different expression now applies to describe type of force which it experiences.
Similarly, if the entity said to be "within the field" now experiences a different force, so does the field-originating entity, since it, too, partakes in the action-reaction pair. No entity that exerts a force on another can remain static itself. As the field-originating entity changes its location, so does the nature of the "field" it generates change, and this nature is changed to a far greater extent by closer entities to the entity which originates the field than by entities farther away. Ergo, no field which has any actual physical consequence can remain constant for more than an instant.
Furthermore, the model of a single isolated field presumes that the entities extremely far from the field-originating entity are affected solely by that field. In fact, these entities have many others close to them, which exert far more powerful forces to determine the behaviors of those entities. This is a practical argument which would lead one to think that the exertion of an extremely small force on an entity extremely far away could well be considered negligible, as far as any legitimate human interests are concerned. However, an even powerful argument exists for the impossibility of non-local effects in the exertion of forces.
An entity, depending on its nature, has only so many actions that it can perform simultaneously and in parallel. It cannot occupy itself with an infinite number of activities simultaneously, since it has limited measurements of all qualities, and is always constrained by those measurements, of whatever magnitude and whatever sort they might be.
No entity could possibly have a sufficiently large amount of measurements of any quality required to affect all the other entities of the universe, for the sum of these measurements would need to equal at least the sum of the measurements of the rest of the entities of the universe, and this, by definition, is impossible, since the universe is the sum of all that exists.
While we do not rule out that it is feasible for entities to exert extremely small, even negligible, forces on other entities extremely far away, we can by no means interpret this to mean that every entity produces an active, non-local force effect on every other entity. Only under certain circumstances (i.e. those of a given degree of spatial proximity) and given certain natures of the entities involved, can forces result.
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Published by G. Stolyarov II
G. Stolyarov II is a science fiction novelist, independent essayist, poet, amateur mathematician, composer, author, and actuary. View profile
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