The God Of High School cosmology revision - Damn that's a bigass Highschool

[CodeCCLL]

So while a universe sized structure is used as an example, anything 4D of similar scope counts as well. The l1C justification states this

I don't know how many times I have to say it, but the space-time continuum already has infinite 4-dimensional volume, so its equivalent is a 4-dimensional space with infinite volume.

Let us simply consider a 4-dimensional space in which no 3-dimensional structure is embedded and the time continuity of this space. For the space-time continuum in question to be Low 1-C, each of the uncountably infinite snapshots would have to be Low 2-C, right? Then the 4-dimensional space in question must be Low 2-C, and in this case, this 4-dimensional space must have infinite 4-D volume.

 

[DavidTPPM]

I do not see why it's supposed to be Low 1C.

Check out the blog, it's detailed in there.
Ideally you should read the whole thing but if you just want the TLDR read section 2.4 and 2.5

 

[Dark_Soul20189]

Check out the blog, it's detailed in there.
Ideally you should read the whole thing but if you just want the TLDR read section 2.4 and 2.5

I read the entire thing twice, I just don't see why it's low 1 C still.

 

[Robo432343]

people have their own reasons to disagree but you really can't just say, "i just don't see it", its poor.
like if you don't even understand the argument then that's your problem
at least elaborate

 

[DavidTPPM]

I don't know how many times I have to say it, but the space-time continuum already has infinite 4-dimensional volume, so its equivalent is a 4-dimensional space with infinite volume.

But it doesn't have to be an equivalent to a spacetime continuum, just of a similar scope.

Let us simply consider a 4-dimensional space in which no 3-dimensional structure is embedded and the time continuity of this space. For the space-time continuum in question to be Low 1-C, each of the uncountably infinite snapshots would have to be Low 2-C, right?

Technically no. This technically isn't related to this thread specifically, but since there is an uncountably infinite amount lower dimensional snapshots between every 2 points in time and every 2 points in space, you don't need EVERY snapshot to be of any specific level.

Then the 4-dimensional space in question must be Low 2-C, and in this case, this 4-dimensional space must have infinite 4-D volume.

…or something of similar scope which any non-compacted/significant volume is. With infinitely expanding volume being about the closest thing you can have to infinite volume.

Since again, even on a basic 3D piece of paper, between every 2 points there is an uncountably infinite amount of 2D space and between the time I'm writing this and the time you're reading this there is an uncountably infinite amount of snapshots.

 

[HelloThere1089]

Correct me if I'm wrong, but doesn't a low 1c structure need to view a low 2c structure as infinitesimally small? Simply being a 5d infinite space doesn't qualify as low 1c last I checked. If I missed this in the blog then my b.

 

[DavidTPPM]

Correct me if I'm wrong, but doesn't a low 1c structure need to view a low 2c structure as infinitesimally small?

A structure can't really "view" other structures if it's not a living being. A being that's low 1-C in size would have to see low 2-C structures as infinitesimal

Simply being a 5d infinite space doesn't qualify as low 1c last I checked.

It does as long as the 5D structure isn't compacted/insignificant then it is, same way a 4D spacetime continuum is low 2-C.

If I missed this in the blog then my b.

Nah you're fine dw, these were valid questions

 

[Astral_Trinity439]

Correct me if I'm wrong, but doesn't a low 1c structure need to view a low 2c structure as infinitesimally small? Simply being a 5d infinite space doesn't qualify as low 1c last I checked. If I missed this in the blog then my b.

To be more eIaborate, viewing something as infiniteIy smaII is Iike viewing it akin to how we view Iower dimensions; aka, the Iesser structure has 0 extensions in the higher dimension. Think of it as a comparison between a Iine and a point. The point is infiniteIy smaIIer as compared to a Iine, but each point has some coordinate on that Iine that is unique to that singIe point.

Now, take this exampIe to the case of universes; Space-times are essentiaIIy embedded inside a 5-dimensionaI space. Since each space-time is infinite in size with respect to 4D due to the infinite nature of time, muItipIe universes cannot reaIIy be isoIated/distinct from one another without bringing in the 5th dimension. In pure anaIogy, what the fifth dimension does here is basicaIIy give a specific coordinate to each universe. From a 5-dimensionaI perspective, if the 5th dimension is a Iine, the causaIIy isoIated space-times are different points on that Iine, each with different coordinate in reference to that Iine, despite each point being, weII, the same size.

However, what we assume by defauIt is not the 5th dimension is not significant in size, that is, it isnt infinite, unIess shown otherwise in-verse. So, if the 5th DimensionaI space is infinite in some specific case in-verse, that essentiaIIy means its Iike saying it is a Iine, whiIe the universes are Iike points on it. In such a case, a singIe universe is essentiaIIy infiniteIy smaIIer as compared to the infinite 5-dimensionaI space, and thus, the Iatter becomes Iow 1-C.