Arcane Lord

Tower of Time, plane exploration floor, in the operation room dedicated to plane scholars.

Xia Duo set the plane exploration array to active exploration with some operations. The target was the [Yellow Sand Demiplane] that had been anchored by the Tower of Time, and ordered the tower spirit to project the results.

After a while, six sets of data appeared in the middle of the operation room. Each set of detection data was a community composed of more than 1,200 simplified arcane geometric symbols, with boundaries between them.

Such a set of data can be called a "1,200-dimensional data set" on Earth. The plane exploration array uses these more than 1,200 dimensions to describe the space-time status detected by the sensing field in the etheric layer.

There is information related to the plane hidden in it. Of course, this data must not only contain information related to the plane, but also more information, which may reflect part of the essence of this world.

Of course, it is mainly related to the plane. After all, it is the data collected by the plane exploration array!

Just like describing a person's state, we can use three dimensions: height, weight, and love for sweets, but there can be more.

Describing the space-time state of the etheric layer, of course, there can be more dimensions, not just limited to more than 1,200 dimensions.

Of course, these 1,200 dimensions are just a result of Xia Duo simply and crudely treating more than 1,200 arcane geometric figures as one dimension, and there are as many as 1,200 dimensions.

Perhaps there are only 120 dimensions in it, and each dimension uses 10 arcane geometric figures to describe specific parameters.

As for the real situation, Xia Duo can't draw a conclusion yet. There is no problem in processing it according to the 1200-dimensional data set for the time being.

The process of data analysis is actually the process of reducing the dimensionality of the data. Now it is just a little more complicated.

On the earth, let alone 1,200-dimensional data, even 12,000-dimensional data is not unusual. However, there are computers on the earth that can be used. Here, Xia Duo can only manually reduce the dimensionality.

But it’s not too complicated, as long as you understand the main context, like what he is going to do now——

The six sets of data reflecting the space-time status of the etheric layer are all data recorded by the plane exploration array in the perception field projected by the etheric layer, including the [Yellow Sand Half Plane]. Among them, the one that is easier to find is the [Yellow Sand Half Plane] Surface】Explicit characteristics in the etheric layer.

After removing the data deviation caused by the autonomous migration of the demiplane in the etheric layer, what is obtained is the relatively stable external characteristics of the [yellow sand demiplane] in constant space and time!

At present, Xia Duo is not very interested in the etheric layer yet. Of course, it can be said that he is not able to study this yet. He is more concerned about the plane itself.

Therefore, after dimensionality reduction, these six sets of 1200-dimensional data are actually the explicit characteristic data of the yellow sand demiplane in constant space and time. This is a brand new data set with only 672 dimensions.

This data is still very complicated, but Xia Duo does not want to study all the correspondences between these 672 feature points and the demiplane of yellow sand.

All he wants is part of it!

Then, Xia Duo took out a notebook that had been used up for a long time from his personal space. This was the data he came here to record before the war on the green field plane about the apparent characteristics of the yellow sand half plane in constant time and space.

Or to put it more bluntly, it is the explicit characteristic data of the yellow sand demiplane in constant space and time before the plane transformation.

Such a comparison between the two directly eliminates most of the characteristic points that are still unclear. The remaining more than a hundred characteristic points are the changes in the yellow sand demiplane in the ethereal layer caused by the plane transformation.

From 1,200-dimensional data to more than 100-dimensional data, it has been simplified by more than one point or two.

In fact, Xia Duo can also conduct more targeted transformation experiments to determine the source changes of the plane corresponding to more characteristic points.

This is just the yellow sand demiplane, there can be [Azure Crystal Plane] or other planes behind it.

After this series of experiments, a clearer correlation between the space-time state of the plane and the etheric layer can be obtained, and a more accurate and practical model of the apparent characteristics of the plane can be obtained, thereby improving the discovery of new Plane efficiency!

…

After finding the key characteristic points of the state changes of the [Yellow Sand Half Plane] in constant space and time due to the plane transformation during this period, Xia Duo substituted them into the constantly changing space-time state of the etheric layer.

This is used to find the position changes of this 100-dimensional data set in the original 1200-dimensional data set, that is, the actual impact of plane transformation on the yellow sand demiplane in the etheric layer.

Or in earthly terms, it is to find the physical meaning behind the data changes!

Data analysis itself is boring, but if you connect it with various specific things, it becomes interesting, or at least it is a way of enjoying hardships.

While recalling the part of the information about the plane exploration array's perception field in the Tower of Time blueprint from his mind, he combined it with the space-time status of the ethereal layer corresponding to this part of information to analyze the actual significance of the 100-dimensional data set.

This process lasted until the end of the month. Of course, during this period, Xia Duo did not forget to record its new external characteristic data in the ethereal layer after the root transformation of the yellow sand demiplane every day.

After such long-term and uninterrupted data collection, research and analysis, at the end of the month, Xia Duo finally came to a preliminary conclusion about plane transformation——

Plane transformation, especially root transformation, has a very profound impact on the plane. This will directly change the space-time relationship of the plane in the ethereal layer!

But such transformation will not change the anchoring state of the demiplane itself.

To put it simply, the state of the plane will indeed change, but the rules of plane migration after the change will not change.

Similar to the change in the mass of a planet in the Earth's universe, this will cause its orbit within the star system to change, but orbiting the star itself is not inconvenient.

The Tower of Time's anchoring of the demiplane does not restrict its autonomous migration. Although it is indeed possible to do so, the anchoring of the yellow sand demiplane only calculates its migration rules.

Its relationship with the main plane in the ethereal layer is similar to the relationship between a planet and a star. As long as the migration law is determined, its accurate position can be located at all times.

The anchoring of the secondary plane is similar, it is a record location.

The difference is that the secondary plane is similar to the main plane and does not migrate autonomously. The changes in its time and space position in the etheric layer are more due to changes in the etheric layer itself.

Therefore, the anchoring of the sub-plane is simpler than the anchoring of the demi-plane. As long as the six-dimensional coordinates of the sub-plane relative to the elemental plane are recorded, it will not change easily. (It is not the six-dimensional coordinates of the internal position, but the plane itself. From a macro perspective, as long as the space-time distance from the main plane in the etheric layer is determined, it is equivalent to having a relatively fixed plane coordinate)

The actual teleportation will also be simpler than the demiplane. Of course, this only refers to the difficulty of teleportation between two planes at the same time and space distance.

Under normal circumstances, the distance between the sub-plane and the main plane in the space-time level in the etheric layer is further "distant", while the demi-plane is closer. Some even directly restrict their independent migration and firmly connect them to the main plane. .

Most of the cross-(sub-)plane teleportation spells start at level 8, and if the demiplane completely overlaps with the main plane, you can even just walk into it without any spells.

Even if they don't completely overlap, as long as their autonomous migration characteristics are limited, it generally only requires a 5th-level spell to complete interdimensional teleportation. Even closer, a 3rd-level spell is barely feasible.