Numbers

 

So why the lifetime pursuit of numbers and the patterns they make?

 

There are a great number of answers to this very open question! Lest I forget along the way, let me point out three (3) important themes that seem to run through these pursuits:

 

 

 

 

Reginald Brooks, 5-19-2024

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QUESTION?

How does a "long and winding road" down a very deep "rabbit hole" of pure number theory end up revealing a truth about anything -- much less, about ourselves and the often selfish paths we cling to?

 

Beats me! I dunno know -- haven't got a clue!

 

What I have found while studying the "long and winding road" down a very deep "rabbit hole" of the relationship of the Primes -- specifically the Mersenne Primes and their Perfect Number pairings -- to all the other numbers, what I have consistently found is this: ALL the numbers count. Every one of them! Try it out.

 

Take absolutely any number, and if you assign a quantity value of "1" to number one, then your selected number is a quantity value equal to the product of your number times that of "1."

 

Now, take any EVEN number and sequentially divide it down by two, you will eventually reach an ODD number -- this is a far as it goes.

You see, ALL the natural whole numbers are made from doubling the ODDs. They are also made of even simpler means -- the Primes (numbers only divisible by themselves and one).

The Primes in small combinations make ALL the numbers. And the Primes are pretty rare!

 

Sequentially double any Mersenne Prime (Mp) and you will reach a Perfect Number (PN = a number equal to the sum of its proper divisors).

A Mp is an extremely rare Prime present as a number one less than the exponential power of 2 -- a.k.a. the Butterfly Fractal 1 (BF1).

The BF1 is simply the doubling of quantity "1" to 2, 2 to 4, 4 to 8,... giving 1--2--4--8--16--32--64... and if you make it the TOP horizontal Header Axis, and the ODDs as the SIDE vertical Axis, of a matrix table, you have the Divisor Matrix Table (DMT).

 

This simple little table fills out by multiplication, giving ALL the numbers and ALL of their divisors.

And, of course, within that group are ALL the Mp-PN pairings. Further more, they are all related! The fractal of the BF1 informs the entire table as multiples of itself, and thereby becomes a table grid of entanglement.

That's right: fractals are the basis of entanglement.

 

Change what the inherent value of quantity "1" and you simultaneously change the value of every quantity value of every symbolic number on the DMT!

Not only is the change instantaneous in time, it is also instantaneous in space. The relationship of the numbers within the DMT are always fixed, perpetual and not in any need to travel at or exceed the speed of light. Entanglement is independent of faster than lightspeed communication! This "order" is built in.

There is no entropic-decrease in the amount of "order" over ST precisely because ST itself is built from the order of the numbers -- as presented in the DMT!

 

As to “time” — forward “time” is the outward expansion of the ST — of the “ordered” grid — whilst the reverse is true, as well.

 

And now to the really big question: what is consciousness?

 

May not the procession of Fractal—>Entanglement—>Entropy—>Time be the foundation of consciousness.

And since it is not born of the human, but rather of the logic of ST, it unfolds in all things for all time — although your own mileage may vary!

 

The holographic Universe(s) is simply the summation (∑) of this procession: ∑FEETc (sih-feet-see).

 

So here we are, scratching our heads as to how to continue our over-consumption and over-trashing the planet while we become painfully aware of the inter-connections!

Everyone counts! “Numbers don’t lie,”— but (some) people do!

 

Back to basics. Look at the numbers.

 

Diffusion

Diffusion is a good example of following the distinction between order and the perceived disorder or lack of perception of the diluted order. What do I mean?

 

In the beginning, starting with one, we have the maximum order. When we double that to two, and that to four, and that to 8, to 16, to 32, 64, 128, 256 and so on, we still see the order of doubling invoked to create this sequence. In fact, we may even see it as the doubling continues for very large numbers. At some point, to recognize the doublings without consciously doing the math, our perception will start to fade. What will take its place is what is due to a lack of perception of the same order that was previously there. We are reaching the limits of the human mind to compute and remember the results.

 

The diffusion of the tightly grouped molecules of something like a bag of tea, a lump of sugar, a few drops of cream in one's coffee or tea is an example of the diffusion process. While starting out where the concentration is quite obviously diluted in half, and then into quarters, and then into eighths, there again becomes a point where the further dilution is difficult to perceive. What takes its place instead is one where terms like randomness, chaos, and/or disorder are put in place. Once again, it is the lack of the human brain to perceive such diluted order that the switch to the all encompassing randomness, chaos and/or disorder adjectives become nouns. Thus we are basing our classification on the limits of our own minds to perceive, nevertheless, the order. Yes, one could say that the order itself is relative -- relative to other orders, i.e. relative to other more easily percerived orders.

 

In the Divisor Matrix Table (DMT and their sibling tables), we see how just such an ordered numbered state in the form of the Butterfly Fractal 1 (BF1) pans out into multiple fractures of itself, leading to a matrix table grid of numbers that are all connected to each other via the doubling of every number and the divisors of every number. Within the DMT, one also finds the extremely rare Mersenne Primes-Perfect Number pairings. The Mp-PN pairings have the minimal number of divisors to inform their number identity, and as such, become resonant – anchors throughout the table as they are themselves members of the BF1 set. It is tempting to suggest that their pure, but very rare, presence provides some form of interacting, interconnecting interference nodes that stabilizes the order as needed when the matrix table expands towards infinity.

 

When one follows the identifying parameters of these Mp-PN pairs within the DMT, one cannot help but actually feel the complete entanglement of one pairing to another.This purely mathematical relationship holds throughout the entire grid.

 

Getting getting back to diffusion. When we get to the point where we as humans are starting to assign the words -- randomness, chaos or disorder -- to the further diffusion, dilution and dispersion of those original tightly group molecules, we are prone to introduce and even larger all encompassing concept we call entropy — that we even refer to as the amount of disorder present such that in any closed system, the amount of disorder will never decrease.

 

And tied to disorder is that of time — as the amount of disorder never decreases, or said the other way, the amount of disorder always increases, that gives a tiktock to the clock, i.e. the passage of time. It would seem that our lack of a true definition of time corresponds to our weak interpretation of that all encompassing term, entropy. And yet time appears to us to only go in one direction. If one could magically see all of the "diluted" order and subsequently draw it back to the point when the order is more naturally clear and present, one may both perceive and redefine the terms surrounding the passage of time — time, which we know, is intimately entangled with the space that it occupies, i.e. space time (ST). Einstein would argue that any perception of the forward passing of time is completely dependent upon the velocity — constant or accelerating — of theST of the observer. If one travels faster than the observed event, the passage of time will reflect that change in the total "order" of that system to the point that the time may slow to the point that it can reverse.

I would add: The Conservation of SpaceTime, i.e. the net amount of expanded and contracted ST, remains a constant and is the underlying basis of all the Conservation Laws.

~Reginald Brooks, Jan.2025 -- updated 03-21-2025

 

Entanglement: time, temperature and entropy? thinking out loud!

So why think of entanglement: time, temperature and entropy? Here is my take:

 

As entanglement increases, clocks tick faster.

 

So why think of entanglement in terms of time, temperature and entropy? Here is my take:

 

BF1 schematic

 

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The Butterfly Fractal 1 (BF1) that heads up Row 1 of the Divisor Matrix TableDMT or tDMT — is: 1--2--4--8--16---...representing the sequential doubling of quantity "1."

 

Starting with 1: zero time, temp and entropy (disorder)

 

Next, this doubles to 2: the clock starts (time) and the first temperature begins, as does slightly less order— as we now have 3, the original 1 + 2 = Running Sum (∑).

 

Double that to give 4: the clock moves even more, a little faster to give more temperature and, again, even more disorder than before — as ∑=1+2+4=7.

 

Double that to give 8: now we are ticking, heating up, and the entropic disorder is increasing — as ∑=1+2+4+8=15.

 

Double that to give 16: faster clock, greater temp. and entropy — as ∑=1+2+4+8+16=31, and so on.

 

As the SpaceTime (ST) pulses into-out of-into-out of existence — with each pulse generated by the BF1 pulse sequence — a rhythmic beat of formation, dissolution, formation dissolution starts the clock, heat builds (reflecting the energy born) and it goes from the perfect order of 1 to lesser 2 to lesser 4 to lesser 8, 16,... (Again, we are referring to the order in relative terms.)

 

The BF1 is a fractal as it both expands, interconnects and becomes entangled with other pulse-propagating STs forming, and, within itself, containing the same BF1 fractal pattern, an infinite number of times. One can see this in the above BF1 schematic — the original 1-2-4-8... pattern is repeated twice on the second line up from the bottom with each “|” now informing the lines above it in the same fractal sequence of 1-2-4-8. On the third line up from the bottom, the fractal is repeated four times. On the fourth, it is repeated 8 times — one for each “|.”

 

Each bit of ST pulse-propagates at a frequency that represents its energy signature and all is within the Conservation Laws of (mass), momentum, charge, energy and, of course, ST.

 

The entanglement — the quantum entanglement — is at the heart of the Conservation Laws.

 

I believe this jives with Einstein's comment that the perception of a past, present and future is an illusion completely dependent upon one's particular and relative point of observation, and, within the overall pulse-propagation of ST.

 

If SpaceTime (ST) itself is entangled -- once quantity | is doubled to quantity | | , and | | is doubled to quantity | | | |,... -- then all forms of energy expression are manifestations of that entanglement. Entropy follows as the amount of apparent disorder -- options/choices/paths -- increases, as does the increased ticking of the clocks. The multitude of ST pulse-propagations is ultimately determined by the Conservation of ST.

 

Interactive DMT and tDMT for TES (Teachers, Educators and Students) ---here.

 

http://www.brooksdesign-ps.net/Reginald_Brooks/Code/Html/MSST/TPISC/TPISC_V/BIMMPS/BIMMPS-10_content/DMT/DivisorMatrixTable_DMT.htm

 

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BF1 schematic

 

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My Existential Philosophy

 

∑FEETc

 

My Existential

Philosophy of the now:

Time is essential

 

Consciousness and time

Neither standing on their own

Require the rhyme

 

As time is simply

Perceiving the diffusion

Known as entropy

 

Entanglement fans

The diffusion of order

As fractals expand

 

Butterfly Fractal

Where 1 spans 2, 2 spans 4

'Til it fills it all

 

Running sums keep score

While entangling back

Nothing is a bore

 

 

 

Time is essential: without the passage of time — or simply “without time” — there is no consciousness. No awareness of self, alone or within the context of others in space and time. Global warming, poisoning the planet, microplastics, pandemics, natural or unnatural disasters, genocide, prejudice, racism, and just plain greed would not occur — much less be on our awareness radar — without consciousness. And there is no conscious without the perception of time (and space). If you don’t have some reference to the past — and with that some projection into the future — you have no “now.” Now becomes a non sequitur. As does consciousness.

 

Outside of perhaps virtual space, one can not realize space — 1-, 2-, 3- dimensions minimally — without time, as it takes time to cover any distance — the displacement from one point to another. The same occurs when the space is that between the source -- the source being some form of energy expression, e.i. atomic particles or even molecules. As the space increases so does the diffusion. The diffusion being the result of the spatial density having been diluted, or diffused, such that the amount or degree of perceived "order" is lessened. Formally, one says that the entropy has increased.

 

Taking stock at this point: consciousness<--time<--entropy (diffusion). We consciously -- and relatively -- experience the passage of time when the entropic diffusion increases the space between "events=changes (∆) in SpaceTime (ST)." The amount of "order" has diminished. The whole Universe diffuses it's ST energy in an "Inverse Square Law (ISL)" manner: as the distance between the energy source doubles, its influence is reduced by one-quarter (i.e. distance doubled has force diluted by 1/2² =1/4). If you want to locally reverse the dilution trend, stopping that forward and rapid progression of time and the seeming increase in "disorder," just whack your finger with a hammer (metaphorically!). The clock will stop -- guaranteed!

 

One might ask: just "who, what, where, when, how and why" is this "order" derived, maintained and "diluted?"

 

Fractal Entanglement-->Entropy (Diffusion)-->Time- - - >Consciousness.

 

That's right, the whole tangled mess is really all connected and inter-connected at the most fundamental level -- the level of ST creation -- and it does so by the numbers. The numbers form fixed connections and inter-connections not just from the get-go, but throughout all their expansion, dilution and apparent reduced "order." The latter being the total illusion! While we are trying to define the steps that lead up to any form -- and that presumes any life form -- experiencing consciousness, the very limiting constraint to that awareness is exactly the lack of awareness that the perceived decrease in "order" as time passes is but an illusion. An illusion that masks the absolute and continuing "order" that lies beneath our ordinary view of reality. That broken egg yoke in the frying pan will not return to the egg carton any time soon, but the total "order" of the system has not decreased, it has been diluted, stretched and increased in its space and time (ST) presentation, yet all the parts are, and always will be, completely part, and thus inter-connected, to the overall connected system of "order" that makes the Universe possible. It does this by entanglement.

 

Ok, so now we are down to the crunch. This is what makes this all happen: fractals. Specifically, the Butterfly Fractal 1 (BF1). It is the absolute simplest arithmetic process: doubling quantity "1" forms quantity "2," doubling quantity "2" forms quantity "4" and so on.

When the quantities 1-2-4-8-16-32... are laid out --

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you have the BF1 pattern. If you take the Running Sums (∑) you get: 1-3-7-15-31-... where 3, 7 and 31 happen to be the first 3 of the 52 known Mersenne Primes, that are paired with their Perfect Numbers 6, 28 and 496, respectively. The other numbers 1 and 15 are equally important, all being part of the "containers" subset that informs the Divisor Matrix Table (DMT) -- a simple multiplication-type table that has the BF1 on the TOP Axis and those ∑ODDs on the SIDE Axis. The DMT holds ALL the natural whole numbers, and, ALL of their divisors. When you examine the DMT -- including its variant child-sibling forms -- that also include their ∑s, that the ISL, the Pythagorean Triples, the Primes, and especially the Mersenne Prime-Perfect Number pairings are all accounted for and intimately related, connected and inter-connected with each other. This is the basis of entanglement.

Fractal-->Entanglement-->Entropy (Diffusion)-->Time.

 

The sum of (∑): Fractal-->Entanglement-->Entropy (Diffusion)-->Time >>>>Consciousness

 

∑FEETc (sih-feet-see)

 

~Reginald Brooks, Feb 2, 2025

 

 

 

Simple As Can Bee, 2 (y+x=z)

 

It’s simple to see

1—2—3 gives y—x—z

Next y comes from z

 

 

Simple As Can Bee, 4 (4z+3=z-next)

 

It’s simple to see

4 Mp as z, + 3

Next z comes from z

 

Simple As Can Bee, 8 (8PN+1=MPS-next)

 

It is simply where

8 Perfect Numbers + 1

Next Mersenne Prime Square

 

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Simple As Can Bee, [ (z² +z)/2=xz=PN]

 

It's simple and cool

Perfect Numbers come from z

Z squared, divide two

 

 

Simple As Can Bee, [ (z² +z)=xy=CR-next]

 

It's simple to be

Next Complement Rectangle

as z squared + z

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BACK: BOOK X: Appendix V: MPS_PN_Factors (Divisors)


BACK: BOOK IX: Appendix IV: Butterfly Fractal Expansion


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Date published: 05-21-2024 Updated: 03-21-2025
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