The Densities

[christx11]

With the "Protection is increased now!", and all of the recent craziness for September 2025, I thought I would give this a try.

I would like to ask a question about the Densities.

I presented a document to the forum in the thread 'Some comments on information theory' back in April of 2022.

Post in thread 'Some comments on information theory'

Apr 3, 2022

The problem is with your presentation of the results. In mathematics we have definitions and theorems and proofs. Can you condense your results in a theorem, clearly stated, and a proof, clearly written? Then perhaps it will be readable.

Thank you. I will try

Here is my attempt to be more clear. I do not have access to a lot of published sources, so I have tried to use a math paper template for organization and logic, but the post/paper is mainly observational. One of the main intentions of this paper is to basically demonstrate how prime numbers are related to many...

• christx11

• 

This was a very strange experience, basically because of the over the top response from 'Cleopatre VII', then the complete ignoring of me as if nothing ever happened, and then the eventual apparent illness and disappearance of 'Cleopatre VII'. A very strange sequence of events.

I tried to revive a discussion in the same thread, but failed to be able to communicate mathematically with Ark. I do not have the 50 to 60 years of academic training to communicate properly and I do not know how to engage Ark to rollback those reinforced mathematical brain pathways to his 16 year old mathematical mind.

My construction of the densities only requires simple math, addition, multiplication, sets, series, geometric series. In fact all it requires is Euclid's unique factorization theorem and the Sieve of Eratosthenes. It makes the densities foundational/fundamental, possibly even first principles. It means the densities and duality, physicality and consciousness, are foundational and fundamental even in mathematics.

I do not want to rehash every aspect of the last six years of my trying to communicate this idea of the densities. You, the C's, are aware of it all. But for anyone that wants to ask a question, I will gladly attempt to explain. I have never even called my construction of the densities, "the densities", until my last post in April of this year (Apr 29, 2025 Some comments on information theory). In the 2022 post and upload of my construction document I listed about 30 session excepts that comport with my construction of the densities, but I called them levels, as I hoped someone else would see the parallels between my ideas and all of the session excerpts describing gravity as a "binder", "the missing link is earlier in the process", "you are going to have to put the puzzle together from many pieces", "the undulating matrix mosaic", "all of creation, of existence, is contained in 1, 2, 3!!!', "the key to quantum jumps is always in discovering "new" mathematics", [Geometry gets you there, algebra sets you "free."], [are you certain these "definitions" you speak of are not limited?], the densities 1 thru 4 as 1/2 material and 1/2 non-material, density 4 as variable, densities 5 and 6 as completely ethereal, Di/bi/double, bilateral dual emergence, and on and on. Since 2022, I have found probably an additional dozen or so session excerpts that also comport.

This post summarizes most aspects of my idea for the densities.

Post in thread 'Some comments on information theory'

Apr 30, 2025

@christx11, I have been reading your posts with a great interest, because I sometimes do some algebra in order to keep the mind stable. I wanted to ask you a couple of questions about algebra work / maths.

I think that the C's hinted at the study of basic algebra/math as positive. I would like to ask you about the "bridge" that math allows. I am having hard times than to translate how algebra/math could be useful. Well, more technically, I am not able to bridge any form of "cosmical knowledge" after having been doing algebra.

I am having hard time, thus, to be able to bind...

• christx11

• 

And here are the Sieve of Eratosthenes linked posts:

The Sieve of Eratosthenes - Backing Up

The Sieve of Eratosthenes - Backing Up

Math, Extraordinary claims, Extraordinary evidence

timefree.blogspot.com

The 'The Sieve of Eratosthenes - Part 2

The 'The Sieve of Eratosthenes - Part 2

Math, Extraordinary claims, Extraordinary evidence

timefree.blogspot.com

In my summary post: Some comments on information theory,
I state "I think the densities are simple, I think they are fundamental, and I think they are sets." So my question is, "Are the densities simple, and fundamental, and are they sets, as I have put forth in the related posts?"
If I am right, then it changes math, it changes science, it changes religion, it changes history, it changes everything.

I will be shocked if the answer is not affirmative.
I think everyone else will be shocked if the answer is affirmative.
I would like to find out who is shocked.

 

[John G]

With the "Protection is increased now!", and all of the recent craziness for September 2025, I thought I would give this a try.

I would like to ask a question about the Densities.

I presented a document to the forum in the thread 'Some comments on information theory' back in April of 2022.

Post in thread 'Some comments on information theory'

Apr 3, 2022

The problem is with your presentation of the results. In mathematics we have definitions and theorems and proofs. Can you condense your results in a theorem, clearly stated, and a proof, clearly written? Then perhaps it will be readable.

Thank you. I will try

Here is my attempt to be more clear. I do not have access to a lot of published sources, so I have tried to use a math paper template for organization and logic, but the post/paper is mainly observational. One of the main intentions of this paper is to basically demonstrate how prime numbers are related to many...

• christx11

• 

This was a very strange experience, basically because of the over the top response from 'Cleopatre VII', then the complete ignoring of me as if nothing ever happened, and then the eventual apparent illness and disappearance of 'Cleopatre VII'. A very strange sequence of events.

I tried to revive a discussion in the same thread, but failed to be able to communicate mathematically with Ark. I do not have the 50 to 60 years of academic training to communicate properly and I do not know how to engage Ark to rollback those reinforced mathematical brain pathways to his 16 year old mathematical mind.

My construction of the densities only requires simple math, addition, multiplication, sets, series, geometric series. In fact all it requires is Euclid's unique factorization theorem and the Sieve of Eratosthenes. It makes the densities foundational/fundamental, possibly even first principles. It means the densities and duality, physicality and consciousness, are foundational and fundamental even in mathematics.

I do not want to rehash every aspect of the last six years of my trying to communicate this idea of the densities. You, the C's, are aware of it all. But for anyone that wants to ask a question, I will gladly attempt to explain. I have never even called my construction of the densities, "the densities", until my last post in April of this year (Apr 29, 2025 Some comments on information theory). In the 2022 post and upload of my construction document I listed about 30 session excepts that comport with my construction of the densities, but I called them levels, as I hoped someone else would see the parallels between my ideas and all of the session excerpts describing gravity as a "binder", "the missing link is earlier in the process", "you are going to have to put the puzzle together from many pieces", "the undulating matrix mosaic", "all of creation, of existence, is contained in 1, 2, 3!!!', "the key to quantum jumps is always in discovering "new" mathematics", [Geometry gets you there, algebra sets you "free."], [are you certain these "definitions" you speak of are not limited?], the densities 1 thru 4 as 1/2 material and 1/2 non-material, density 4 as variable, densities 5 and 6 as completely ethereal, Di/bi/double, bilateral dual emergence, and on and on. Since 2022, I have found probably an additional dozen or so session excerpts that also comport.

This post summarizes most aspects of my idea for the densities.

Post in thread 'Some comments on information theory'

Apr 30, 2025

@christx11, I have been reading your posts with a great interest, because I sometimes do some algebra in order to keep the mind stable. I wanted to ask you a couple of questions about algebra work / maths.

I think that the C's hinted at the study of basic algebra/math as positive. I would like to ask you about the "bridge" that math allows. I am having hard times than to translate how algebra/math could be useful. Well, more technically, I am not able to bridge any form of "cosmical knowledge" after having been doing algebra.

I am having hard time, thus, to be able to bind...

• christx11

• 

And here are the Sieve of Eratosthenes linked posts:

The Sieve of Eratosthenes - Backing Up

The Sieve of Eratosthenes - Backing Up

Math, Extraordinary claims, Extraordinary evidence

timefree.blogspot.com

The 'The Sieve of Eratosthenes - Part 2

The 'The Sieve of Eratosthenes - Part 2

Math, Extraordinary claims, Extraordinary evidence

timefree.blogspot.com

In my summary post: Some comments on information theory,
I state "I think the densities are simple, I think they are fundamental, and I think they are sets." So my question is, "Are the densities simple, and fundamental, and are they sets, as I have put forth in the related posts?"
If I am right, then it changes math, it changes science, it changes religion, it changes history, it changes everything.

I will be shocked if the answer is not affirmative.
I think everyone else will be shocked if the answer is affirmative.
I would like to find out who is shocked.

I think the problem I had was it seemed like countable and uncountable infinities were too mixed together by an equal sign. Also number theory/infinites related to Clifford algebra periodicity and branching universes and Grothendieck universes I can handle for physics but you kind of have too much number theory for me to fit with physics. At some point you have to be able to see particles/spacetime in the numbers.