With non-locality do particles still have position as with locality?

v. 3. n. 21

This continues previous articles on this topic. * While non-locality is considered accepted physics, an inconsistency between this and observational evidence should be pointed out.

Until John Bell and experimental proofs of his theorem that quantum mechanics is non-local, a bedrock principle was locality in physics. Locality is illustrated in the cover image with a series of suspended spheres just touching, about to be struck by another sphere. In order for the effect to be experienced by the right-most sphere, there must be intermediaries. With non-local phenomena there are no apparent intermediaries; the right-most sphere in Figure 1 immediately feels the impact on the first in line even without all the spheres in between, regardless of the number of spheres.

Ordinarily particles are not considered to have position in a non-local system as presently conceived. When particles immediately affect one another regardless of distance, position is meaningless. However, this notion has to be reconciled with the observational evidence of clusters of galaxies accelerating away from one another at and above the scale of galactic superclusters -- the accelerated Hubble expansion, where such clusters of galaxies are said to be embedded in space and not move relative to space. Space is said to be expanding between these clusters of galaxies.

If these particle conglomerates move according to the Hubble Law relative to space, they should be increasing in mass relative to one another and eventually stop moving on approaching light speed because their inertia would approach infinity (when a pair is sufficiently far apart). There is no evidence of this in deep observations of the Universe. Then, since clusters of galaxies are embedded in space, each galaxy within a cluster, each star system within a galaxy, ... each subatomic particle must be embedded in space and have position.

Non-locality as currently conceived must be reconciled with particles having position in observed accelerated expanding space, since a tenet of non-locality is that particles have no position.

* Which is preeminent, quantum or relativity theory? (booklet) | LinkedIn

An alternate view of Bell's Theorem: Everything is connected, by Einstein's "hidden variable" | LinkedIn

Electron mass derivation, and maintenance of a locality consistent with Bell's Theorem | LinkedIn

Does space ever stop expanding, or trying to, regardless of scale? | LinkedIn

Cover image credit: https://www.quora.com/What-does-non-local-mean-in-physics