I don't understand the World Formula (Nod-Krai VIII spoilers)

Specifically, I don't understand why it had to be running *while* we were fighting Dottore.

We (the characters) already knew that to bring back Columbina, we need to bring down the Moon.

The World Formula seems to progress by "actions taken" such as being unable to get past 90% without bringing down the Frost Moon. So it definitely has something to do with 'the current state of the world.'

If it calculates that to reach "X point in fate, you need Y" then I understand its functions. It's a future-predictor. To defeat Dottore we need Columbina, and to bring back Columbina we need to bring down the Frost Moon, and to bring down the Frost Moon we must wait for Dottore to open the Fake Sky so we can reach the Frost Moon in the first place.

But if we already knew that before fighting Dottore... What does the World Formula actually do if we already knew every variable needed to complete the formula?

**Why do we need to complete it while fighting Dottore?**

Not sure if this should go in the question megathread, I checked and it seemed to be mostly gameplay questions there. I also dont know if the answer to the World Formula is something simple that I just missed, or if it's worthy of Discussion.

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Commentaires

Watsons-Butler2026-01-21 16:31

It’s a plot device to raise tension during those scenes. At a certain point it’s like trying to analyze a James Bond movie. Like why use an unnecessarily slow dipping mechanism and sharks with lasers on their heads when literally everyone is holding a gun? Dramatic tension.

E17Omm2026-01-21 16:32

Then honestly it had the exact opposite effect on me, because I didn't understand what it was even doing.

MrEvil1292026-01-21 16:42

Extremely short answer: the world formula isn’t just an equation that calculates fate, it is also a magic spell for enacting change upon the world.

The diagram of the world formula is based on the Tree of Life from Kabbalah. Originally, it was just a diagram showing the relationship of God’s nature and how they interact and emanate on the world. In mystical traditions, the Tree of Life also has knowledge for how to change the world, and to transcend oneself.

The Narzissenkreuz Ordo was able to use the knowledge gained from the world formula to both calculate the fate of the world, but also to understand and manipulate aspects of the world such as the Primordial Sea and the Abyss.

The goal with the World Formula in the quest isn’t just to calculate the variables needed for Columbina to return, but also to use the World Formula to force the world to recognize Columbina as the Moon Goddess.

E17Omm2026-01-21 16:46

>it is also a magic spell for enacting change upon the world.

Okay this (along with the rest, but mainly this) made me understand it MUCH better.

Now, did it just fly completely over my head or did they not properly explain that it was a sort of spell? I only remember Sandrome talking about RAM/CPU shortages which made me think it was just a bunch of calculations and nothing else.

Sitherio2026-01-21 16:56

Much of our science would be considered magic by those in the past but it's still all created with science. Sandrone's calculations and the world formula itself can supposedly be understood by calculations but it is far and above what we irl can achieve so it'll be like magic to us but calculations to her (by us I mean irl us, jot Traveler). As for saying what it would exactly do, I don't remember that being really explained. It's an important piece of the plan and acts as our progress monitor for the quest. It served all its literary function and we can deduce the purpose after the fact.

E17Omm2026-01-21 16:58

I would say its better storytelling to make the viewer/player understand what is going on.

They could have talked about it like it wasn't just one big complex mathmatical equation.

KazakiriKaoru2026-01-22 02:30

We did, when Sandrone scolded Paimon about it not just being numbers.

Explaining everything would be exposition, which is a bad form of storytelling.

Real-Contest49142026-01-21 17:16

The world formula is briefly covered in the aq but their is an entire world quest chain in Fontaine dedicated to world formula and the people involved, Alain and Rene.

PotentialTop49272026-01-21 17:18

I remember Paimon asked a similar question and got scolded by Sandrone saying it's not just some formula you solve in a math class, but a kind of algorithm that can construct rules

E17Omm2026-01-21 17:19

I must've completely missed that then.

KazakiriKaoru2026-01-22 02:28

Also, Sandrone worked with Albedo, an alchemist to make the formula.

It's a magic spell that is creating a magic circle similar to how Albedo did to Durin in Paralogism

Sunsettia2026-01-22 04:44

You can re-read it [here](https://genshin-impact.fandom.com/wiki/Descending_Moon).

>
**Sandrone:** Ugh. You're such a greenhorn. This isn't the kind of formula you solve in math class. It's a highly complex algorithm capable of constructing a framework of rules.

The change part is probably harder to catch as it happened during Sandrone's monologue when we controller Pulonia [to dig through all the documents](https://genshin-impact.fandom.com/wiki/Tracing_the_Footsteps_of_the_Past#:~:text=Descenders) ("Descenders"). She needed a Descender and that's why she had to send the result up to the Traveler.

Gargooner2026-01-21 17:21

There's a reason why Sandrone also works with Albedo for breakthrough. The world Formula is a combination of calculation and alchemy basically.

Which is funny because Alain and Rene kinda stuck in their own ways because they have different philosophy on the approach. Rene is mostly on the alchemy part, and Alain is more calculations type.

Sandrone willing to abandon pride to work together with an alchemist ended up making her solving the formula.

They did mention about "Chymical marriage", which is essentially sort of Alchemy process.

Nuka-Crapola2026-01-22 00:37

Yeah, it’s actually a major character development for Sandrone to have even considered it, because it means she’s surpassing Alain— both in terms of getting a result he couldn’t, and in terms of letting go of his prejudices.

MrEvil1292026-01-21 17:27

I don’t think they explained it in the dialogue of the quest, but I think the supplemental reading during the Paulonia segments were supposed to be a refresher for the concept, especially since it has been nearly two years since the ideas were introduced in the Narzissenkreuz questline. And even then, you had to have read a lot of the hidden documents inside the tower in order to get a good idea of what exactly is going on.

HorribleDat2026-01-21 18:52

The world already recognized her as moon goddess though, that's why it was rejecting her.

I'd argue the biggest change the world formula did was removing that 'rule'.

Background-Map-362026-01-21 16:44

Have you ever seen the big fight in Avengers between Iron Man, Doctor Strange etc. and Thanos before they lose the war?

The World Formula as a plot device is similar to Dr. Strange looking through timelines to find the one chance in order to actually beat Thanos. Fortunately for Teyvat, it didn't require losing half the universe, only Sandrone, who can potentially be repaired by her "backup systems", just manipulating Dottore into opening the false sky.

E17Omm2026-01-21 16:48

Okay but what I didn't understand (another comment made it click) was, why was Dr Strange doing the whole timeline thing *while* fighting Thanos (in this case, Sandrome and Dottore)

Tobikage19902026-01-21 16:44

https://www.reddit.com/r/Genshin_Lore/s/iM0EOthKKy

The world formula was running with the traveler as a variable to influence the outcome. It wasn't just a prediction.

icemoomoo2026-01-21 16:47

Just because you know what the variable is now doesnt mean you know what it is in the future, thats why i needed to run continuesly until the end, because just knowing the moon needs to be brought down doesnt mean she knows when exactly that will happen.

Also only the last 10% were action based, Sandrone herself says my calculations can get us 90% there implying they where staling for it to reach 90% then it became action based.

Imagine calculation how a bullet will fly after being fired you need to constantly update changing variables like windspeed at different ranged and temperature, then once have that someone needs to pull the trigger manually, since time passes between the calculation finishes and trigger pulling the windspeed might change the calculations have to be updated with the changes.

Ecstatic-Source60012026-01-21 16:48

in short

She wrote patch for Teyvat with using World Formula

This patch can be valid only when moon is down (need valid world state)

Patch add Columbina in Teyvat

E17Omm2026-01-21 16:49

Okay but why I didnt understand was that Sandrome already knew what was needed, so why did she not just finish the "patch" and leave it be at home?

Another comment made it click though.

Ecstatic-Source60012026-01-21 16:55

They had no time to finish writing patch.

Their plan was to hold time and survive and wait for 90% completion

She knew she will die cuz they no match vs Dottore but Descenders are needed variable to make patch (thats how world formula works in general)

But if she dies, Wanderer also will die thats why she placed formula in Polonia instead.

ejsks2026-01-21 16:56

Sandrone knew what was needed from the get-go, the percentage of the world-formula wasn't her "figuring out" what she needed but rather Wanderer's heart/core processing the world formula's "spell" to summon Columbina.

Sandrone carried it with her/Pulonia because leaving it at the base was more dangerous, and she sacrificed herself to buy as much time as she could for the core to finish processing the World-Formula.

Had Sandrone not been there to buy time, the Traveler would've most likely died / been recaptured by Dottore, leaving the gap of them being the main "anchor" for Columbina in terms of memories iirc

Nuka-Crapola2026-01-22 00:45

I don’t think it’s ever clarified *exactly* what Traveler’s role was, but “anchor” makes the most sense. They didn’t run the formula or help bring down the moon, but the result achieved— getting Bina to not only return from Nibelung’s prison, but also be accepted by Teyvat— is the kind of thing you’re supposed to need a Descender for.

ejsks2026-01-22 01:11

We‘re explicitly told that Sandrone can/has to introduce "variables“ to the world formula, as the world formula on its own just describes the world and everyone‘s fate.

Said variable ofc being Descenders, aka. Traveler.

Nuka-Crapola2026-01-22 01:17

Yeah, that’s why we know Traveler had a role at all, I’m just saying that like… the most obvious ways for Sandrone to incorporate them would’ve been to either have them channel their power into Wanderer’s core while it ran the calculations, or have them be involved in pulling down the Frost Moon (since that’s the only part we see on-screen that *isn’t* a process being run on a puppet core). However, neither of those happened, which means their role must be something indirect.

That, or angel + Two Worlds’ Flames is close enough to a Descender that Nicole and Arle could bend the rules just enough on their own, but I find it much more likely that it just wouldn’t work with no Traveler.

pancakedelasea2026-01-22 03:55

Descenders have been described as ppl who can "influence the fate of the world", which I've always interpreted as a kind of arbitrary power-scaling term. But it seems to me like it's a much more literal, definitive, and/or innate capability Descenders possess after this Archon quest.

Like you say tho, how or why it works isn't apparent, bc the Traveler didn't do anything specific to participate in the world formula's process.

Ecstatic-Source60012026-01-22 06:54

With all this programming "BS" i think descenders are used as "temp variable" in code.

you can use this temp var for calculations without breaking main code, cuz if you store temp calculation in present variables it will call invalid state.

KazakiriKaoru2026-01-22 02:31

Also, Bina's anchor, Luonnotar is anchored to the Traveller. So it's a 2-in-1 deal

Nuka-Crapola2026-01-22 08:07

That’s also true, yeah. So no matter what else was going on, she was always gonna spawn where Traveler was.

Rain-Maker332026-01-21 20:44

Also, the patch needs a descender to be able to enact change upon the world. That's why the Traveler was needed for it.

Vaiolette-Westover2026-01-21 17:19

It's both a progress bar, an instruction set, and an active Ley line terminal writing code into the world at the same time. It needed to be next to the soul, throne and body of Columbina to invoke her rebirth when all conditions are met, with one of them being her own death.

This is also not the world formula Rene used. This is a new formula Sandrone developed which can solve for a desired solution on top of predicting Fate.

LarryKingthe42th2026-01-21 18:11

I assume distracting Dottore is a big part of it

mersa2232026-01-21 18:12

How did we actually bring the moon down though? I get that by introducing it to tevat it changed fate but I'm unclear how we actually brought it into tevats sky / bubble

E17Omm2026-01-21 18:55

The not-mute lady got powers from Arleechino (makes sense) and Varka (somehow???) and I just accepted that the mage was doing mage things to pull the moon down.

Karma_ofKarma2026-01-21 20:07

I thought it was clear she was buffing Varka and Arlechinno so they could help her do it

nanimeanswhat2026-01-22 00:32

My question is why in the hells did Dottore open up the sky and reveal the moon as if he's inviting them to pull it. (unless he really was)

sir_aphim2026-01-21 20:56

Basically a descender is a necessary part of the plan The world formula is almost like a 'magic spell' used for calculating what will happen to the world. But just knowing isn't enough, since we also need to make a significant change in the world state we need to introduce a variable in it. We saw in the previous AQ that Dottore was able to slowly stack up small variables and manipulate it into changing things in the past to his favor. However we don't have that amount of time. This is where the Traveller comes in. We as a descender is a giant, walking variable. Our fate isn't bound to Teyvat's and as such, we have the ability to change Teyvat's fate as an outside factor. (It is also probably why Dottore was so keen on trying to win us to his side. The moons powers are still, in a way, connected to Teyvat where as we are not.)

So as Sandrone explains, for the plan to work, we need to meet the required conditions, (Columbina's soul within the luonnotar, her divinity along with the frost moon and the traveller as the variable) and the world formula will handle the rest. (Just think of it essentially coding a computer program that require specific inputs to create the desired output)

In an ideal world, we have all the time in the world and can do this without being disturbed. But Dottore didn't give us time. Sandrone came because we need a little more time, the formula needed to be with us the variable, and everyone else strong enough to have potentially helped stall were occupied. (Nicole, Arlecchino and Varka were needes to bring the moon down. And everyone else was trying to minimize casualties) Plus, since the world formula was with her, she had to come regardless of if she brought someone else with her or not.

So she came to help stall, but she was well aware that she is no matched for Dottore at this point. Hence, as we saw in her diary, she made a few switcharoos. Installed wanderer's core in Pulonia, modify his parameters for self-preservation over protecting her, and installed the false core in herself for tricking Dottore into thinking the formula was in herself. Its also why she took the attack for us. Because she knew that between us, Pulonia and herself, she was the only one who was expendable in her plans.

coffeeaddictfromcebu2026-01-21 23:18

I am guessing RAM issues? Plus it would be weird if she was just down there while everyone was fighting up in the clouds.

taintedmask2026-01-22 00:22

There's so much hand waving in that quest that I just decided to take things at face value.

KazakiriKaoru2026-01-22 02:34

It's not though.

Sandrone incorporated Alain's calculations with Rene's world formula to create her own version of a patch update for Teyvat. She even asked advice about it from Albedo.

The formula is basically a magic spell

taintedmask2026-01-22 03:28

Yeah. That doesn't actually explain OP's question. Why do we need to complete it during and not before fighting Dottore? If it is a magic spell, why couldnt we just activate it to bring down the moon? what does it actually need? is it the traveller being near death to complete the spell? anyway you can theorize all you want but the writer brushed through it all

KazakiriKaoru2026-01-22 03:38

Dottore literally came to us in Nasha Town. We had no time to wait for the formula to complete itself. Also, Sandrone hiding the formula inside Pulonia and making him get knocked out first lowers Dottore's guard agaisnt Pulonia. So this makes Pulonia, the bearer of the Formula the safest of them all. Sandrone sacrificing herself then further lowers Dottore's guard because he thinks he's won.