Spelling corrections:
The time warping abilities of the SAVING and LOADING is emphasized even more by Sans Statement
Either say "Sans' statement" or "the statement made by Sans." The way you have it now shows no possession, causing it to make no sense.
RESETs is the more large scale option of the three
Replace "is" with "are," as this is referring to the plural of "RESETs."
and sans still acknowledging the timelines and alphys arguably acknowledging them as well (more in-depth explanation in the alphys section)
Names are proper nouns, so they must be capitalized. (Sans, Alphys.) Repeat this with any other name you left in lowercase.
Timelines 'stopping and starting' also goes along with what flowey says at the end of the true pacifist
Alongside the name, the term "True Pacifist" refers to a singular specific event, which is considered a proper noun as well. Capitalize this as well, and do this for any other route names, like "Neutral" or "Genocide."
This Interpretation is proved even more by the fact
"Interpretation" is not a proper noun, so it doesn't need to be capitalized. Also, "proved" is the incorrect tense. Use "proven."
should be enough to debunk that their is only one timeline at any given time.
"Their" is incorrect, as it shows the possession of multiple other people in the third person. Use "there," which represents placement or location.
with their being no actual limit on how many timeline they're could be
Both "their" and "they're" should be "there," and it should be "timelines," as it is referring to multiple, hence it should be a plural noun.
with Sans alone causing Flowey to do a fare share of RESETs
A "fare" is like a fee or payment. Use "fair."
without their being an actual cap to how many RESETs you can do, I feel its safe to say the this makes the Undertale verse in the Countless or 'Ad-Infinitum' range.
"There," not "their," again. "Its" is the possessive noun referring to a genderless individual. Use "it's," which is a conjugation of "it is." "The" is flat out incorrect. Use "that."
I feel
its rather evident that
Chara scales to the cosmology, they have the most blatant feats for such after all, but I will list
em here.
"It's" instead of "its" here again. If you are going to use the shortened "em," you must, at the very least, use an apostrophe to display what letters are removed, like "'em." However, I would recommend retaining a sense of formality, meaning that you should use "them."
Aside from that, it looks fine with how far it is, though the information on Asriel and the Player should be added next.