Got permission from Ultima again a bit ago but never commented
I have more input I could give on this topic regarding the other sections, but for now, I would like to focus my concern here with the Avalon Low 1-C objections.
To start, I don't believe the core premise to the objection here holds weight. It doesn't particularly matter that a relevant statement occurred in one guidebook and not others; if the statement exists, and it is not directly contradicted, then I see no reason why we wouldn't factor it in to our indexing. This is a moot point on its own. What I am concerned about, however, is whether the statement is even indicative of Low 1-C in the first place. To quote the statement verbatim:
If I understand correctly, the way we've interpreted this statement is that the bracketed text is in reference to all three prior claims individually. In other words, what this statement is saying is that Avalon shut out all physical interference (up to the sixth dimension), operation of parallel worlds (up to the sixth dimension), and multi-dimensional communication (up to the sixth dimension). Blocking all "physical interference" up to the sixth dimension would probably qualify for durability up to this level, and suggest that destroying it would require physical interference above six dimensions.
Reading this with the context of the other guidebook statements in mind, however, I don't think this is how it was supposed to be interpreted. Only the third claim (multi-dimensional communication) refers clearly to any kind of multi-dimensionality, and the bracketed text about dimensionality being attached to that implies that it is intended to be read as a clarification of that claim. In other words, what this statement is saying is that Avalon shut out all physical interference, operation of parallel worlds, and sixth-dimensional (or below) communication. "Communication" is a broad term, but if this is all it amounts to, I don't see how this would be anything more than a range feat. I can't imagine how "communication" by any means would be enough to justify sixth-dimensional AP.
Where my doubts here form is in the fact that, to my knowledge, this is a translation of a guidebook rather than the original text. What I would like to know is what the original text says, and what a direct translation of that text would be. Semantic issues like these can come about purely as a result of dodgy translations, and my intuition tells me that the original text isn't so vague or interpretive one way or the other about whether the other claims are sorted under the sixth-dimensional label.
This thread has been quiet for some time, and there's an outstanding aspect of the Avalon situation, so I wanted to leave a short message to address my current input.
Unfortunately, it doesn't sound as though even the original text regarding "up to the sixth dimension" is clear enough about what the paranthesised text is referring to - there is still some level of doubt here. However, the statement doesn't need to disprove Avalon is 6-D - it needs to prove it. Considering both the vagueness of the statement, Executor's notes on it, and the chunking chosen in the translation, it is evidently does not prove this alone. I would say, however, this might suffice as proof of a range feat, if more context can be given to the term "communication" used.
There is more to address going forward in this thread, but before addressing that at another time, I wanted to make my verdict on the Avalon situation clear. Everything about the statement could both be canonical and correct, and yet Avalon could also have below sixth-dimensional durability, and there would be no contradiction between those two claims. So, it's a formally invalid argument to say Avalon has 6-D durability for these reasons. The guidebook evidence does not do enough to prove 6-D durability for Avalon, and so, this should not be on the profiles.
EDIT: Meant "durability" there, not "AP".
The original text says
魔法の域にある宝具で、あらゆる物理干渉、並行世界からのトランスライナー、多次元からの交信(六次元まで)をシャットアウトする
As other have posted its along the lines of saying it blocks physical interference, things from parallel worlds, and multidimensional communication (up to the sixth dimension), I would argue that the parenthesis is implied to apply to everything before it via the way its written. This is also implied because well, as posted by Regidan, Obscurant Wall of Chalk exists, this skill specifies that if it were ranked higher it would be similar to Avalon in that it could block/dodge attacks from higher order dimensions, this very clearly shows the higher dimensional thing for Avalon is not merely communication
If the rank was higher, the target could even phase through attacks, among other things, from a higher dimension. That principle is close to a certain Defensive Noble Phantasm that is used to target its own user.
Due to this statement, it then becomes completely impossible to argue that Avalon only blocks higher dimensional communication, as Obscurant Wall of Chalk specifies that it can block attacks from higher dimensions, meaning the up to sixth dimensional in parenthesis does in fact, apply to everything that comes before it. Obscurant Wall of Chalk is referring to Avalon in the description here, if the principle of being able to avoid (phase through or block depending on tls, generally defend against though) attacks from a higher dimension is close to Avalon, that shows that the idea that Avalon is only able to block communication from higher dimensions can not be correct.
To further go into why this means Avalon itself is a 6d place with 6d durability, in case you're unaware, the noble phantasm works by enshrouding the user in Avalon, the location.
Avalon: The Everdistant Utopia
Rank: EX
Type: Barrier Noble Phantasm
Defense target: 1 person
The power of the sheath of Excalibur. Expanding the sheath, it shuts out all physical interference by placing the owner in the land of the fairies.
If it is able to block attacks from higher dimensions by enshrouding the user in the location, then that means the location itself is why those attacks can't reach or else do damage, meaning the location itself is 6 dimensional (as that is specified as the limit which it can block). This solves your issue of supposed vagueness of the description, as it becomes clear that it can in fact, work against attacks and other physical interference from those higher dimensions as well, although even beyond that, if the reason it works against anything higher dimensional is because it is moving you to that location, in order for the location to defend against it, it has to be higher dimensional itself, this just becomes exceptionally clear when Obscurant Wall of Chalk is taken into account, as it removes any potential doubt of it working on attacks as well.
So, with regard to Souls and the Third Magic, the explanation that Paul is giving is largely infused with his own conjecture to sort of fill in the gaps left behind by the theory that he is proposing.
The Third Magic is described as the materialization of the soul, and it is said to make the soul analogous to a perpetual motion machine thus providing infinite energy. Paul's conjecture that this is due to essentially "unlocking" some infinite pool of energy that all souls have is wrong, the Third Magic is said to elevate the soul to the next level of life.
Except we're told very clearly what that next level of life is, its not needing the original body as an anchor. The next level of life is having the soul be a perpetual motion machine not limited by the restrictions imposed by the flesh of the world, allowing the "invincible command terminal" to be at full power
Materialization of the soul, in other words, the magic that realizes true immortality. When accomplished, the practitioner will acquire an unlimited source of magical energy due to the soul becoming analogous to a perpetual motion machine. This is the Magic of the Einzbern lineage, and the Holy Grail War was established to acquire this Magic
Instead, when a soul is manifested by the third magic, it can now, ignore the container its placed in, and use the "genes of the soul" (the soul is all that matters now, so the limits of the body matter not, as the body itself isn't in control, or limiting its power)
You might not believe me, but this is the Third Sorcery we're talking about. It's not just putting your spirit into someone else's brain and controlling them. Once you give it a container or a body, the soul manifested by the Third Sorcery will take perfect form. It's the genes of the soul, not those of the body.
You argue that the third magic is actually giving them some sort of infinite amp, which gives them the infinite energy, however, this is not said or implied actually, in fact further descriptions of Heaven's Feel leave out this assumed infinite amp you're proposing it gives, and hammer home that all it does is materialize the soul, and that everything else comes as a consequence of that
Well even with that being said, at that time she had already transferred herself into spiritron form using Ten Thousand Colored Stagnation, and it was no problem for her to lose her physical body on Earth.
Kiara took it upon herself to continue her religious work in the cyber world, and dedicated herself even more to teaching others how to manage their worldly desires.
Her existence is similar to the rumored Third Magic, Heaven’s Feel which is the physical materialization of the soul.
As we know of life currently, it is composed of three things, the mind, the body, and the soul. These three components work together to ensure life continues on, the body needs the mind and soul to control it, as an empty body is nothing, however the soul needs the body to act as an anchor, or else it is dissipated and returned to Akasha, we are told this a few times, for instance
Illya in FSN,
Ishtar in Babylonia,
Ciel in Tsukihime, etc
So based on quite literally every description of the third magic, it seems like it does in fact, only materialize the soul, and that this in and of itself, the materialization of the soul to allow it to be 100% in charge, using its genes instead of the body's, no longer being at risk of eventually dying due to the loss of a body, etc, this is what the "next stage of life" is
Keep in mind that there are only five Magics, which is different from Magecraft, they are things that involving doing what is normally considered impossible and performing it involves accessing the Root. A normal soul is not a container of infinite energy.
This is a weird chain of logic "its one of the five magics, those do impossible things, therefore this means the soul does not possess infinite energy on its own, but rather is amped by the impossible powers of the third magic". The first thing (it being something outside of the reach of magecraft) simply does not lead to the second (it gives an infinite amp to the soul), rather, we know very concretely what the impossible feat of the third magic is, it is materializing the soul, you know, the listed domain of the third magic, each domain of a true magic is its impossible feat.
For the first, its impossible feat is the denial of nothingness, for the second, the operation of parallel worlds, for the third, the materialization of the soul, the fourth is unknown, and the fifth's exact domain isn't known, but its impossible feat is related to consumption and extinction.
Materialization of the soul as a whole is far beyond what magecraft, which can't even actuate the soul and interact with it in any meaningful way, that is the impossible feat, not infinitely amping it
When I pointed out how souls are treated as finite energy deposits Paul attempted to circumvent this by pointing out that people can only contain a finite amount of magical energy, essentially proposing that Servants could absorb a soul and reach their full capacity, but the rest of the "infinite energy" of the soul would need to disperse or be left behind due to limitations on capacity.
This is also, again, made up on the spot to justify this theory and it is directly incompatible with what is actually happening in the series. In many cases Servants absorb many souls at once or in a relatively short period of time. If Paul's theory were accurate (that they are simply reaching their max capacity with a single soul and then forsaking the rest) then this would not make any sense. One of the earliest scenes in the F/SN series is Rin discovering the spell circle that was designed to harvest an entire high school. This is also contradicted by the fact that Gilgamesh was said to be worth a few hundred thousand souls. Human souls do not have infinite power, neither do Servant souls.
Well you see, we are in fact, directly told that not only does everything have said limits for mana, but specifically, and very much in plain english, that servants absorbing souls is converting them to mana
You know, the thing the limit exists for
Servants could devour the souls of humans and convert them into prana. This was their privilege as spiritual beings.
So Servants convert souls to magical energy, there is a definitive cap on magical energy that is repeatedly stated throughout the series, but you're right, its totally headcanon that they convert it to magical energy, and that a cap exists.
Gilgamesh being called worth multiple souls, or servants ripping out multiple souls at once does not at all change the very direct statements that exist saying that they are converting it to magical energy which there is a limit on, a limit which can not at all be exceeded. I'm not sure what to tell you, it simply is how the verse works, and often, there's a reason beyond just energy that servants are setting up or soul ripping multiple people.
Also, these scans also very concretely disproves this theory:
The Holy Grail literally converts souls into pure magical energy, but needs six servants (one of which was said to be worth a few hundred thousand souls). If Paul's theory were accurate a single soul would be fine, because the Holy Grail would be able to store all of it. Yet this is clearly not the case.
This is awful as evidence, yes, the holy grail can store multiple servant's souls, this means what exactly? Why would being able to store a servant's soul mean it can now do what it needs 6 or 7 for with 1? Because there's infinite energy in one? Have you ever thought that perhaps something like reaching a path to the Root maybe just isn't within the bounds of infinite energy to accomplish normally (one soul), or else stuff like the explicitly infinite energy kaleidosticks would just bring Illya to a path to the Root when she got serious. As for other wishes, it doesn't actually at all need to be fully filled to achieve wishes which can be realized within the confines of our world, we are told this very explicitly in Fate/Zero, its why with both Saber and Gilgamesh still alive (meaning at most 5 servants died), it is able to in theory, fulfill Kerry's wish, and then achieve Kirei's instead. Now I already know the response to this would be "well it should be able to do that with 1" and the simple reply to that is it is designed to not do that. It is only ever meant to grant the wish to go to Akasha, to achieve magic, that it is able to activate with less power than needed to punch through the world is an unintended side effect, and only used to give other magi outside of the big three families false hope, and even besides that point, the lesser grail needs to activate over time, and the greater grail is hidden.
So to answer "why does it need 6 if each one is infinite?" Because the Root is simply that far beyond everything else, as we are told time and time again, and beyond that, because that is simply how the ritual is designed, to reach the Root by releasing the souls (fun note btw, the souls of the servants are released from the grail at the end, they aren't like, broken down into purely energy) so they can make their way back to the throne, and the energy is then used to help reach a path to the root