Trinity 7D was unexpected, but, neat, regardless.
Though I can’t say about ID, know nothing about the verse and those are irrelevant to the overall point, so, no use in nitpicking that.
To add instantly, we know that Archieve is a higher dimensions that is unrecognizable and unreachable level for a magus and human based on the glossary, and it’s been stated at the early of the series begin.
The seven deadly sins are the names of the magical classifications. The seven sins are arrogance, envy, anger, sloth, greed, lust, and lust for sex. It is said to exist in a higher dimension called the center of the world, a level unrecognizable by the human brain, and certainly unreachable by a living body. Therefore, mages connect to the "archives" by flying their consciousness and spirit to that level. The topics of mages' research always belong to one of these seven categories. - (Archieve) Glossary #3 Chapter: 2
The Heavenly realm folks (especially referring to Adjudicators/Arbitrators) possessing a magic power much higher than people in surface world through “Clouds”, making them magic powers equal to those of Gods, who is a higher dimensional being that already transcend space-time. To quote from the glossary:
The Highest-Ranked Archive that guides magic. It is directly linked to The Wisdom of The Gods; those who connect to it can use magic powers equal to those of Gods. However, when connected in the normal world, it depletes one's magical reserves severely, and even high-ranking maguses will have their magic sapped in minutes. The Adjudicators of The Heavenly Realm boast of inexhaustible supplies of magic, so they mainly use connections to the Cloud. They can obtain even more overwhelmingly powerful magic than when connecting to the Archives, but coming close to such God-Like levels brings with it tremendous risk. - (Clouds) Glossary #86 Chapter: 125
Which following with the next scans, given that Clouds
is higher dimensions and also more archetypal than the Archives. Unlike the Archive, Clouds can exclusively be used by the Adjudicators or someone that possesses a very high-level magic (
like Paladin and
Great Demon Lord class), or has a potential to use the lost Archive, like Selina cases (of course, she possesses a high-level magic) to become the candidates of the next Adjudicators in the Heavenly realm.
Talking about Heavenly realm and the level, for the reference:
The Peak of Yggdrasil and a location positioned at the center of all worlds. Through collecting cultures from the worlds connected to Yggdrasil, it is magically and scientifically advanced . The residents of The Heavenly Realm, who are descendants of "The Caretakers of Yggdrasil," live so peacefully that it’s comical, but when driven to war, they possess such strength that only High-Level Maguses are able to hold their own against them. The Heavenly Realm is ruled by The Twelve Adjudicators, but there are few people left who have ever seen all of them assembled together at once. - (Heavenly Realm) Glossary #81 Chapter: 119
A gauge to indicate the stage one's existence is at, at the soul level. The closer one is to being "The Origin of All Things (Akashic Record)," the higher one's level. Also, someone with a high level will have The Wisdom of All Worlds, so they become close to a being of the Fourth Dimension (transcending time and space). It is also a criterion for how well versed one is in the magical arts as a Magus. Humans can reach the level of "Demon Lord" class, and that is the level most Maguses aspire to. - (Level) Glossary #90 Chapter: 128
So to say that, the magus who is a high-level is seems to been stated that they closely enough to transcending the space-time (4D), while we fundamentally know that Heavenly realms folks like Adjudicators, are far superior even compared to a regular high-level magus due to already transcend the space-time (5D).
with the baseline spacetime being the smallest dot in that map despite its infinite in size already.
Tackling only this part from the OP, the infinite futures stuff there is actually not referring to the infinite size of the space-time, but rather than they talk about how her research gives a pretty good result by traveling the infinite possibilities or infinite space-time (looking that she talk about future). Especially since the one who says that is Master Liber, who was given the title of “Archbishop” among the Adjudicators, experts in terms of future predictions and has been
worshipping and researching a way out of all systems of God.
This is the title given to Master Liber who is of The "Paladin" class of magus and one of the wings of the "Heavenly Adjudicators." after having spent an unimaginable amount of time researching magic and traveling to a multitude of dimensions and space-times, she arrived at a particular truth. One who has witnessed that truth for even a second is shown great respect and given this title. Liber is one of the oldest of all the Adjudicators and has changed physical vessels a number of times already. The title of "Archbishop" was bestowed upon her for her control over the army of evil gods; it's not a title one simply inherits. - (Archbishop) Glossary #77 Chapter: 109
