memes

The bit about things being made of different subatomic particles is interesting, because its actually, to my knowledge, difficult to truly prove that, because fundamental enough particles dont seem to have a lot of the differences seen between similar objects of larger scale. There are even ideas (not proven ones mind, just food for thought) that some of them might actually be the same, for example, theres an idea that there might be just one electron in the universe that bounces around in time and space such as to look like there are more of it: https://en.wikipedia.org/wiki/One-electron_universe

My point there though, is if "different" fundamental particles are so similar as for it to not even be clear that they are necessarily different, what would the underlying mechanism be for a notable difference to using different ones?

Im not really convinced by your final bit about continuity, but I think its more down to my difficulty in explaining what I mean exactly by calling it not real. I dont mean to say that we cant define a label for an idea like "no atoms entered or left this battery pack", but rather that theres no particular indication that the universe "cares" (cares really isnt the right word but I simply cant think of the right one and I guess cares is as close as I can think of, just strip the part out that implies conscious intent or thinking) about that label once we've defined it.

If we return to your analogy of cars, "cars" also arent really real, not in the sense that the concept applies only to things that are completely fictional the way, say "vampires" does, but in a sense like, there is a fundamental, non-arbitrary difference between, say, an electron and a photon, such that they interact with the physical laws of the universe in a distinct way. A car meanwhile, is just a collection of these fundamental particles, which does not have any distinct rules for itself among the physical laws of the universe, and rather has behavior that is merely emergent from its constituent parts following the behavior of those particles. The universe has no distinct concept that a given mass is a "car", but does seem to for an electron (again, "concept" isnt really the right word because it implies thinking and intent, which Im not trying to ascribe to the universe here, but again I struggle to find a word that better fits the idea that Im trying to communicate).

If, suddenly, every electron, proton etc (fundamental particles that is) in your phone's battery were suddenly swapped with others of the same type of particle from elsewhere in the universe, there would be absolutely no way to detect it. Presumably, this would break the continuity of that battery, but if we took a snapshot of the universe right before the swap, and one immediately after such that no time has passed between them, the only way there could be any difference at all between them would be if there was some kind of unique "label" for each particle fundamental particle to make them distinct from one another, something that, as far as I am aware, there isnt any evidence to suggest is the case. Without that added layer of complexity added to the universe, the swap would be like swapping one pixel of an image with another pixel elsewhere in the image that has the exact same color value- the result there wouldnt be a new image, because no information has been changed, it would just be the exact same image again. That is to say, the particle swap wouldnt be physically meaningful at all, unless you assume the universe has that specific unproven property added to make fundamental particles non-interchangeable, which occams razor would suggest I discount until proven otherwise, because a universe with non-unique fundamental particles is simpler than one with extra information to distinguish each. And if that swap isnt physically meaningful, then the universe before and after the swap dont have any change in information to them that could represent the break in continuity in the first place, which drives me to the conclusion that either continuity somehow exists outside the universe, which again adds another unneeded bit of complexity to reality that I can discount as less likely with occam's razor, or else that the concept of continuity is just one of the many made-up concepts that we use to help make the universe easier to think about, like labeling some arrangements of matter "cars" based on their general emergent properties, that dont have any true basis in the physical laws that actually describe the behavior of the universe.