SmallLIGOyou

Page 90. Epilog OVERVIEW-II (Part 2) -- see Part 1 & Internal References for the groundwork.

The Inevitable Conclusion

Induction-Deduction

Book X (BOOK X: Appendix V: MPS_PN_Factors (Divisors)) started with:

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Definitions: https://www.dictionary.com/e/inductive-vs-deductive/

Oversimplified:

Induction: specific ——>general

deduction: general——>specific

We use both!

Abstract

With the Euclid-Euler Theorem in mind (“PN = 2ᵖ⁻¹ • 2ᵖ -1“= xz), the combination of algebra and geometry (algebraic-geometry) has generated a deep profile of the Mersenne Prime (Mp=z) — Perfect Number [(PN=xz, where x=(z+1/2), and y=x-1)] pairing and has revealed both a Universal resonance with all EVEN numbers related to the Exponential Power of 2 (a.k.a. Butterfly Fractal 1, 2ⁿ) via the inductive process, and, a striking, and very specific, exception to that general resonance in the form of a specific Number Pattern Sequence (NPS) within its constituent factors (divisors) under the lens of pure deduction.

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With the big Inevitable Conclusion: "The small LIGO in you,” we have come full circle. "May the force be with you!"

Depending on which side of the coin you are looking from -- and despite the notion that "Resistance is futile" -- we expand and contract our perception of the world simply to make sense of it all, at the service of survival. Isn’t it nice to realize that the Universe(s) make(s) sense — even when we don’t.

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Three matrices fell out from the relentless pursuit of discovery: How does it happen?

The LUFE Matrix: a mathematical-physics based matrix that relates Space/Time and ultimately resolves down to the Conservation of SpaceTime (CoST). See "LightspeedST"in the White Papers Index below for more.
The BIM (BBS-ISL Matrix): a purely mathematical based matrix that was originally discovered -- and wholly informs -- that the Inverse Square Law (ISL) is the deep and far-reaching basis for more than just describing the Fundamental Forces of Gravity, Electromagnetism, sound, light and nearly all other forms of energy expression, it is the algebraic-geometric basis of the Pythagorean Triples and the Primes. The CoST is present here. See "MathspeedST" in the White Papers Index below for more.

The DMT (Divisor Matrix Table): a purely mathematical based -- and parent of the BIM set -- matrix that is the largest and most fundamental set of pure, natural whole integer numbers and their connecting divisors. This is the parent set. And it is all set on the very simple notion of something that exists through spatial extension (Space), and does so over some temporal expression (Time) -- as Space/Time or SpaceTime (ST) for short.
It starts with quantity "1" and successively repeats the doubling process to form a fractal of itself -- a fractal that, in turn, "grows" by multiples of itself. This Butterfly Fractal 1 (BF1) informs every Row of the DMT and just like its major subset the BIM, every number value is set and its connection to every other number value is set from "1" to infinity.
As these number values are really just ratios, the only real variable is to what the quantity "1" is a quantity of -- rice, eggs, or ST. Here we have the complete fractal-entanglement-entropy-time relationship bound to the CoST. This leads to the unavoidable, inescapable and Inevitable Conclusion: ALL ST interference -- in any and all such ST aggregates of matter and energy -- is part of -- and lies within -- that continuum referred to as "consciousness."
Yes, even local rocks are conscious that they are gravitationally -- and at least electromagnetically -- part of the larger, universal milieu of ST! How could they not be as the "consciousness" continuum is simply a subset awareness of the larger continuum -- the amount and degree of interference between the plethora of ST waves whose net sum gives directive as to whether such local aggregate of ST shall contract or expand the curvature of the ST that it is embedded in.
That awareness is the sLIGOiy in us all -- in everything. And that contractual ST curvature (Dark Matter gravitational) is always balanced with expansive ST curvature (Dark Energy) as dictated by the CoST.
"May the force be with you" -- "Resistance is futile." See Books I-X of "Serendipity: Oceans of Numbers At Your Door (SONAYD)" the alternative title for the original BIMMPS, in the White Papers Index below for more.

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fate it is getting late i am just trying to say your free will is ... fate free will is local lost with noise, otherwise want more, be vocal freedom is courage that just happens globally so eat the porridge

The small LIGO in you (sLIGOiy)

While both the Large Hadron Collider (LHC) at CERN and the Laser Interferometer Gravitational-Wave Observatory (LIGO) (US, Italy, Japan), certainly have their place in the research and study of gravity and the birth of the Universe(s) (bravo!), we are all individually blessed with having our very own collision-interference detectors in our body -- most likely, but not necessarily exclusively -- centered in our brain.

That's right! Each of us -- and every other living entity -- has the capability to detect gravity waves. And here is the real news (supposition): that that detection is the very basis of consciousness!

Yes, the detection of the interference of SpaceTime (ST) waves that transiently give rise to the formation of the graviton (the double-photon mediating "wave-particle" of gravitation) is precisely the same source of that which we call the "consciousness spectrum" -- or simply consciousness.

Come on, are you saying -- amongst a whole host of other things -- that the gravitational phenomenon and consciousness are at the very least intimately related, if not outright one and the same? Does gravity = consciousness? Is there gravitational consciousness? Or, how about conscious gravitation? Are we heavy thinkers?

Laugh as you may, evidence is pointing to just that. And the basis of that evidence -- the real fundamental base -- is, as you guessed -- mathematics. All interference is ultimately based on numbers -- quantities. Identical quantities sum up, opposite quantities sum to zero.

As you may have considered, not just any numbers, but a series of numbers that reflect the simple doubling of quantity 1, followed by the doubling of that 2, followed by the doubling of that 4,...

It is this simple fractal sequence: 1-2-4-8-16-32-64-128-256-512-1024-... of doubling numbers that lays the foundational floor. If you double the whole sequence -- or multiply it by 2-4-8-16-- you will simply reproduce the same sequence, starting at a different point.

However, if you increase the sequence an odd number of times -- by multiplying the sequence by (1)-3-5-7-9-11... -- you will generate new sequences of numbers -- all related, of course, back to the original fractal sequence (a.k.a. the Butterfly Fractal 1, BF1, as it resembles the butterfly form when laid out as a series of quantity 1).

What about the 6-10-12-14-18-20-22-... multiples of the BF1? Well, if you simply divided them by 2 all the way down, they will always land on an ODD number (Column 1 of the DMT), showing once again that all expressions on the DMT are just multiples of that fractal.

Together, all the multiples of the BF1 form a very simple table matrix -- the Divisor Matrix Table (DMT) -- that holds ALL the natural, whole integer numbers and their divisors. And, they are ALL ENTANGLED.

Yes, that's right, they are all entangled. Every number is fixed in its value and placement regardless of how far out the matrix table is extended.

Now, to be clear, let us emphasis an important point: the numbers represent an abstract symbol for the actual quantity. Quantity of what? Quantity of how much of "what" does quantity 1 equal. If you said quantity 1 = 1 chicken egg, then 2--4--8--... represents 2 chicken eggs, 4 chicken eggs, 8 chicken eggs,... Thus the original numbers in the DMT represent the ratios of the number quantities to each other -- their entanglement. And that entanglement of ratios extends to infinity! PICK ANY NUMBER FROM 1 - INFINITY-1, AND YOU WILL INSTANTLY KNOW THE PLACE AND VALUE OF EVERY OTHER NUMBER THAT CAME BEFORE IT -- AND -- EVERY NUMBER THAT COMES AFTER IT. THAT'S THE DMT!

So far we have: Fractal ---> Entanglement

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SIDE NOTE: We are moving fast here. Here are a few insights -- and frankly, assumptions -- that help. It is highly recommended that one reviews the OVERVIEW Part 1 and the Oceans of Numbers-FOCUS (links at the bottom of this page).

The BF1 fractal is but a pattern of the doubling of quantity 1, and quantity 1 is really a symbolic representation of the smallest quantum -- quantity -- that forms the base unit. So 1 = some quantity 1 = 1 quantum. And 2-4-8-16-... is 2 quantum-4 quantum-8 quantum-16 quantum... that may also be graphically (or conceptuallY) represented as |-||-||||-||||||||-||||||||||||||||...that when laid out

| | | | | | | | | | | | | | | |

| | | | | | | |

| | | |

| |

form the BF1 pattern. Every one of the "|" is a quantum of whatever the quantity "1" stands for, and, becomes a fractal informing every other "|." And it is this -- a.k.a. 1-2-4-8-16... -- that informs the ST wave that, through interference with other ST waves, becomes the graviton induced curved-space gravitational geometry that contracts space around any mass-energy localization.

This is also that which forms -- and, informs -- the DMT. Every natural whole integer number -- a fractal of 1 -- is present in one and only one location on the DMT. ALL the EVEN numbers divisible by 4 are below the 4-8-16-... columns. ALL the EVEN numbers NOT divisible by 4 are below the 2 column, and, ALL the ODDS are below Column 1. Not only is every ROW simply a fractal multiply of the first BF1 Row, but every COLUMN is simply a doubling of the column before, starting with the ODD column.

Quantum entanglement is present here in this DMT for every value, starting with 1. Every value in the DMT represents the ratio value to any, and all, of its neighboring values, regardless of distance from the source.

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Sooner or later, as the number size increases, we begin to lose the ability to easily keep track of the number(s) in question and their neighboring numbers -- even with advanced computational power. What remains is our ability to still see that change has occurred. It's just increasingly hard to keep track of the number values (ratios!) as expansion occurs -- even while we can see that expansion is happening.

We call this entropy -- an increase in entropy -- and often equate it to various descriptive terms such as loss of order, disorder, chaos, decrease in information, randomness... In reality, it just represents our inability to keep up the one-to-one correspondence with change perception - change value. We see the change, but lose the connection. We have entered the world of randomness.

No! The only thing that has changed is our ability to track the change in value with the change in perception. Everything remains entangled and no information as a whole is lost. If the chicken egg drops on the floor and cracks open we may say in conventional terms that its entropy has increased and that there is now less order, less information. Whereas in fractal-based terms, the numerical entanglement -- while certainly arranged differently -- remains true to both the past and the future. In fact, it reveals increased information as now the entanglement configuration of the broken egg shells and their contents is in addition to the entanglement that preceded the breakage, and will also include the entanglement configuration upon clean up. All possible scenarios remain entangled and accounted for. The arrow of time does proceed in this direction, but only within the context of this particular scenario. Our perception of it is the very basis of consciousness. The other possibilities including that the egg dropped but did not crack, the egg dropped but barely cracked, the egg dropped and splattered into a billion pieces are all covered by the entanglement of the BF1 numbers. Of course quantum theory teaches us that some probabilities are more likely than others to occur. To what do we owe that?

This is the basis of the Conservation of SpaceTime (CoST): all the Conservation Laws distill down to the ultimate Conservation Law -- CoST -- as this is the mechanism that Nature employs to maintain the harmonious balance and virtual expression of the matter-antimatter--positive energy-negative energy -- dark matter contraction - dark energy expansion -- charge-anticharge -- momentum positive-momentum negative Universe(s). Nature selects for the probabilities that best correct from any and all far from equilibrium -- asymmetrical -- imbalances! Your own localized version of free-will consciousness is seeded by events far beyond!

CoST --> Fractal --> Entanglement --> Entropy

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SIDE NOTE: Let's repeat that: all the Conservation Laws distill down to the ultimate Conservation Law -- CoST... As described more fully in the next side note, the speed of light (c) is constant because it is built into -- i.e. is part and parcel of -- the ST wave that informs all forms of ST expression: energy matter and fields -- through pulse-propagation. Each pulse travels 1 wavelength and occurs at a frequency such that its product equals the constant velocity of light, c.

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So what comes next? -- a birthday cake! What time is it, anyway?

That's right. You have hit the nail on the head. Time is the expansion and interaction of ST -- the expansion and interaction of the infinitely entangled ratios of the quantities of ST -- the expansion and interaction of the infinitely entangled DMT.

CoST --> Fractal --> Entanglement --> Entropy --> Time

Time -- and the arrow of time -- is the Universe selecting the best -- and perhaps, only -- possibility for which spacetime entanglement scenario will be allowed, in order that the CoST will remain.

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SIDE NOTE: The ST wave is a pulse-propagated virtual wave-particle that emanates from any and all ST energy. It is a virtual photon, where c = wavelength x frequency = λ(v) = spatial extension x frequency = space/time. That's right, as we know from relativity, space and time are never alone, but exist as space per time, or ST. Every extension of the wavelength occurs over time and if the velocity of light (c) is a constant, then shorter wavelengths must occur (pulse) with greater frequency (v), and that must be over shorter stretches of time. In our focus on the spatial component of gravitation, one must not lose track of the temporal component. Time, as an intimate part of any and all spatial contraction or expansion, plays the critical role of being the other half of the equation that must be of such value that it ultimately satisfies the CoST. Of all the spatial displacement possibilities present at any interference of two or more ST waves, only those -- or that -- that satisfy the CoST, will be granted. Time dictates that.

Details: If two similar ST waves interfere, their photons constructively sum up to transiently form the graviton -- and the local ST contracts = increase in the ST curvature. The reflective response to the ST curvature behind this wave is to expand -- equal and opposite to satisfy the CoST. If two dissimilar ST waves interfere, their photons destructively sum up (opposite spins sum to zero) to zero, forming the spinless, chargeless, massless Higgs Boson, with no change in ST curvature -- unless and/or until it spontaneously decays back in to two equal but opposite spin-1 photons. One can see that ST curvature contraction = Dark Matter (DM) and ST curvature expansion = Dark Energy (DE). The CoST demands that the sum of all DM = the sum of all DE.

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And consciousness -- and especially your place and form on the consciousness spectrum -- is simply the perception of that change. Your personal, internal LIDO turns on as you become aware of the change -- no matter how small -- or at least no matter how small within the limits of your LIDO sensors!

It may well be that the perception of change goes both ways -- your consciousness may be directed to focus on the smallest, simplest detail or the largest, most expansive whole that you can muster up!

CoST --> Fractal --> Entanglement --> Entropy --> Time --> Consciousness

Yes, you can feel someone else in the room -- feel someone looking at you -- feel your internal clocks as the heavens move, and every other gravitational phenomena that your sensors will allow tuning in to. Should you accidentally hit your finger with a hammer, your own local time will stop!

Perhaps, your tuning will allow you to tune in to an even higher awareness -- that of the Yin-Yang of the bipolar Universe(s)! At which point -- no matter how transiently you are blessed -- you become 1 with Nature!

CoST --> Fractal --> Entanglement --> Entropy --> Time --> Consciousness --> Y|Y --> 1

∑FEETc --- (sah-feet-c) (sih-feet-see)

*Fractal

*Entanglement

*Entropy

*Time

*Consciousness

∑: Fractal-Entanglement-Entropy-Time-*Consciousness: to get to the "1" one must embrace the opposite as it is part of the Conservation of SpaceTime: ∑FEETcOne

yin yang

CONSCIOUSNESS

T I M E

E N T R O P Y

E N T A N G L E M E N T

F R A C T A L

C O N S E R V A T I O N o f S P A C E T I M E

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You -- one (pun intended) -- may ask: In what direction does complexity -- and thus, time -- flow?

My own answer would be: it depends and is completely relevant to which end do you start with!

As a deceptively simple example: ask, when looking at the DMT, does informational complexity start from the beginning of the table at "1" and proceed outwards as the table expands outward to infinity? Or, if from any one of the infinite infinity number ratio values one proceeds back to the fundamental quantum quantity "1"? Like, if you are a fish swimming upstream from your long migration from that stream out to vast oceans and back, perhaps your only answer is both!

~Reginald Brooks, Aug 3, 2025

(from original, earlier notes with added references of July 30, 2025): Updated: 8/9-29/2025.

IMAGES: (selected images give the basics of the DMT and its variations. See the BOOK X: Appendix V: MPS_PN_Factors link at the bottom for the rich details)

IMG_GE-1

DMTmake-1.gif

Table167_ODDs_EVENs_EVENs-NOT_Matrix-

Table167_ODDs_EVENs_EVENs-NOT_Matrix-.pdf

Table171_MakeDMT-

Table171_MakeDMT-.pdf

Table172_Make-tDMT-

Table172_Make-tDMT-.pdf

Table173_Make_tDMT+2

Table173_Make_tDMT+2.png Running Sums in WHITE.

Table178_RunningSums-EDMT-

Table178_RunningSums-EDMT-.pdf The EDMT is the table formed when the normal Col. 1-ODDs -- after "1" are replaced with the EVENs of the BF1 -- giving some interesting results when the Running Sums (WHITE) are included. Said differently: here both Axis are of the BF1.

Table183_Make-Mp-DMT-

Table183_Make-Mp-DMT-.pdf

ITable186closeUpAnntd2

Table186closeUpAnntd2.png In the nDMT, Col 1 is replaced with n=1,2,3,... and all sorts of connections emerge.

Table190_MakePDMT-.pdf

Table195_BF1-RunningSums-z.pdf

MultiplesOf4DMT_Circle.jpg On the right, is the DMT. On the left, a clockwise circular pattern is formed: starting with 2, increase each value by +2. The resulting pattern reveals that the EVENs ÷4 are on the horizontal and vertical axis, increasing by 4, while the EVENs NOT÷4, also increasing by 4, fill in the diagonal values. The latter correspond to EVENsNOT÷4 Column 2 on the DMT, while the former are found in the EVENs÷4 Columns 3-8+. ALL PNs, with exception of PN6, are found in every other Column of the EVENs÷4, and, with the exception of the PN28, all are found in the circular pattern image on the RIGHT side of the horizontal line of values. They represent the "x" value. PNs: 6-28-496-8128-... have x=4-16-64-4094-...respectively (only the first two shown).

CircularDMTwithBF1.jpg In this circular pattern, the four quadrants are filled soley with successive values of the BF1: starting with 4-8-16-32-64-... Here, the "x" values of the Mersenne Prime-Perfect Number are found solely on the vertical quandrants shown in YELLOW.

REFERENCES: Internal

The Index on the Art Theory 101 page holds all the links for easy access.

Most of the current reference links are from Page 76: Intro to the 8 Part BIMMPS: the relationship between the Mersenne Prime Squares and the Mersenne Primes -- Perfect Numbers -- Exponential Power of 2 -- Butterfly Fractal 1 and Butterfly Fractal Matrix on the BIM.

Look for Chapter 10 BOOK X: Appendix V: MPS_PN_Factors (Divisors)

MPS_PN_Factors(Divisors).html The uniqueness of the Mp-PNs leads to the DMT!
DivisorMatrixTable_DMT.htm For TES: teachers, educators and students: simple playgrounds for the DMT!

LINKS:

Mersenne Prime Squares (Part I) the Introductory white paper.

Mersenne Prime Squares (Part II) 3 Simple Intros.

Mersenne Prime Squares (Part III) the Advanced white paper.

The MPS Project The Mersenne Prime Squares Project.

LINKS:

MathspeedST: TPISC Media Center

MathspeedST: eBook (free)

Apple Books

REFERENCES: External (*highly recommend)

https://www.quantamagazine.org/is-gravity-just-entropy-rising-long-shot-idea-gets-another-look-20250613/

https://www.quantamagazine.org/what-is-entropy-a-measure-of-just-how-little-we-really-know-20241213/

https://www.quantamagazine.org/why-everything-in-the-universe-turns-more-complex-20250402/?mc_cid=5e37a88898

https://www.quantamagazine.org/the-unraveling-of-space-time-20240925/

https://www.quantamagazine.org/is-mathematics-mostly-chaos-or-mostly-order-20250620/

https://www.quantamagazine.org/anil-seth-finds-consciousness-in-lifes-push-against-entropy-20210930/

https://www.quantamagazine.org/how-gravity-is-a-double-copy-of-other-forces-20210504/

https://mailchi.mp/quantamagazine.org/the-four-forces-of-nature?e=d9892f271c

https://bigthink.com/collections/consciousness/

*https://www.youtube.com/watch?v=EK32jo7i5LQ "Why do prime numbers make these spirals? | Dirichlet’s theorem and pi approximations" from 3Blue1Brown (Grant Sanderson)

*https://www.youtube.com/watch?v=qoJacpk_OXo "The 15-Year-Old Who Discovered the Law of Primes" from Physics Explained

NOTES (here are the notes, sketches, scribbles and original ideas unfolding before reading the External References cited above, with editing marks in color)

IMG_GE-1